Study sets matching "calculus derivatives"

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Study sets matching "calculus derivatives"

23 terms
Calculus Derivative Rules
Derivative of a to the u power
Derivative of Arc Cosine
Derivative of Arc Sine
Derivative of Arc Tangent
Derivative of a to the u power
Derivative of Arc Cosine
21 terms
Calculus Derivative
d/dx(arcsin(u))
d/dx(arccos(u))
d/dx(arctan(u))
d/dx(arccot(u))
u'/sqrt(1-u^2)
-u'/sqrt(1-u^2)
u'/(1+u^2)
-u'/(1+u^2)
d/dx(arcsin(u))
u'/sqrt(1-u^2)
d/dx(arccos(u))
-u'/sqrt(1-u^2)
Calculus Trig Derivatives
sin x
cos x
tan x
csc x
cos x
-sin x
sec x^2
(-csc x)(cot x)
sin x
cos x
cos x
-sin x
15 terms
Calculus - Basic Derivatives
nx^n - 1
fg' + gf'
(gf' - fg')/g²
f'(g(x))g'(x)
d/dx (x^n)
d/dx (fg)
d/dx (f/g)
d/dx f(g(x))
nx^n - 1
d/dx (x^n)
fg' + gf'
d/dx (fg)
37 terms
AP Calculus Derivatives and AntiDerivatives
∫k du
∫u^n du
∫1/u du
∫e^u du
ku + C
u^(n+1) / (n+1) + C
ln|u| + C
e^u + C
∫k du
ku + C
∫u^n du
u^(n+1) / (n+1) + C
22 terms
AP Calculus - Derivatives
uv (product rule)
u/v (quotient rule)
c (constant)
u^n (chain rule)
uv'+vu'
(vu'-uv')/v^2
0 (zero)
(n)(u^(n-1))(u')
uv (product rule)
uv'+vu'
u/v (quotient rule)
(vu'-uv')/v^2
Calculus Derivatives and Anti-derivatives
y=sin(x) ... y'= ?
y=cos(x)... y'= ?
y=-sin(x)... y'= ?
y=-cos(x)... y'= ?
y'(x)=cos(x)
y'=-sin(x)
y'=-cos(x)
y=sin(x)
y=sin(x) ... y'= ?
y'(x)=cos(x)
y=cos(x)... y'= ?
y'=-sin(x)
Calculus 2 Test: Derivatives
General Power Rule (Find Derivative of…
Product Rule (Derivative of two functi…
Quotient Rule (Find derivative of a fu…
Derivative of sin(x)
Or d/dx [x^n] = n*x^n-1
Or FS' + SF'
Or (DN' - ND')/D^2
General Power Rule (Find Derivative of…
Or d/dx [x^n] = n*x^n-1
Product Rule (Derivative of two functi…
Or FS' + SF'
37 terms
AP Calculus Derivatives and AntiDerivatives
∫k du
∫u^n du
∫1/u du
∫e^u du
ku + C
u^(n+1) / (n+1) + C
ln|u| + C
e^u + C
∫k du
ku + C
∫u^n du
u^(n+1) / (n+1) + C
Calculus-Derivatives
d/dx (sinx)
d/dx (cosx)
d/dx (√x)
d/dx (1/x)
cosx
-sinx
1/2√x
-1/x²
d/dx (sinx)
cosx
d/dx (cosx)
-sinx
32 terms
AP Calculus Ch. 3 Derivatives
Cusp
Corner
vertical tangent line
discontinuity
Cusp
Corner
Calculus Derivatives
a
axⁿ
lnx
e^x
0
anxⁿ⁻¹
1/x
e^x
a
0
axⁿ
anxⁿ⁻¹
Calculus Derivatives
tan'x
sin'x
sec'x
cos'x
sec²x
cosx
secxtanx
-sinx
tan'x
sec²x
sin'x
cosx
10 terms
Calculus Derivatives
Derivative of cos x
Derivative of sin x
Derivative of ln x
Derivative of e^x
-sin x
cos x
1/x
e^x
Derivative of cos x
-sin x
Derivative of sin x
cos x
12 terms
Calculus Derivatives
derivative of tan(x)
derivative of cot(x)
derivative of sec(x)
derivative of csc(x)
sec^2(x)
-csc^2(x)
tan(x)sec(x)
-cot(x)csc(x)
derivative of tan(x)
sec^2(x)
derivative of cot(x)
-csc^2(x)
15 terms
Calculus Derivatives
ArcSinx
ArcCosx
ArcTanx
ArcCscx
1/(1-x2)^1/2
-1/(1-x2)^1/2
1/(1+x2)
-1/(|x|(x2-1)^1/2
ArcSinx
1/(1-x2)^1/2
ArcCosx
-1/(1-x2)^1/2
24 terms
AP Calculus Derivatives
d/dx [c]
d/dx [x]
d/dx [uⁿ]
d/dx [cu]
0
1
nu^(n-1)u'
cu'
d/dx [c]
0
d/dx [x]
1
15 terms
Calculus derivatives
D/dx(c)
D/dx[cf'(x)]
D/dx(e^x)
D/dx ln |x|
0
Cf'(x)
E^x
1/x
D/dx(c)
0
D/dx[cf'(x)]
Cf'(x)
14 terms
Calculus: Derivatives of Trig. functions
d/dx(sinx)
d/dx(-sinx)
d/dx(cosx)
d/dx(-cosx)
cosx
-cosx
-sinx
sinx
d/dx(sinx)
cosx
d/dx(-sinx)
-cosx
17 terms
Calculus Derives
d/dx sin(x)
d/dx cos(x)
d/dx tan(x)
d/dx sec(x)
cos
-sin
sec^2
sectan
d/dx sin(x)
cos
d/dx cos(x)
-sin
Calculus Derivatives
f(x) = constant
f(x) = mx+b
f(x) = xⁿ
f(x) = k×g(x)
f'(x) = 0
f'(x) = m
f'(x) = nxⁿ⁻¹
f'(x) = k×g'(x)
f(x) = constant
f'(x) = 0
f(x) = mx+b
f'(x) = m
Calculus Derivative
tan(x)
sec(x)
csc(x)
cot(x)
sec^2(x)
sec(x) tan(x)
-csc(x) cot(x)
-csc^2 (x)
tan(x)
sec^2(x)
sec(x)
sec(x) tan(x)
14 terms
Calculus Derivative
d/dx (√x)
d/dx (1/x)
d/dx (sinx)
d/dx (cosx)
1/2√x
-1/x²
cosx
-sinx
d/dx (√x)
1/2√x
d/dx (1/x)
-1/x²
16 terms
AP Calculus: Derivatives
derivative
what is the Difference Quotient Equati…
What is the Alternate Difference Quoti…
What is the product rule?
slope of the tangent line
f'(x) = limit of (f(x+changex)-f(x))/(changex) as the ... change…
limit of (f(x)-f(c))/(x-c) as x-->c... It is finding the slope o…
h(x)=f(x)*g(x)... derivative of h(x)=[f(x)deriv of g(x)]+[g(x)
derivative
slope of the tangent line
what is the Difference Quotient Equati…
f'(x) = limit of (f(x+changex)-f(x))/(changex) as the ... change…
Calculus - Derivative
sinu
cosu
tanu
cotu
cosu
-sinu
sec²u
-csc²u
sinu
cosu
cosu
-sinu
25 terms
Derivatives for AP Calculus AB
d/dx(c) such that c is a constant
d/dx(cu) such that c is a constant
d/dx(u ± v)
d/dx(xⁿ)
0
cu'
u' ± v'
(nuⁿ⁻¹)u'
d/dx(c) such that c is a constant
0
d/dx(cu) such that c is a constant
cu'
12 terms
Calculus: Applications of Derivatives
Critical Point
Global (absolute) maximum and minimum
Maxima and minima are collectively kno…
Local(relative) max and min?
x = c is a critical point of ƒ(x) if:... 1) c is actually in th…
The point on the f(x) curve that is greater than and less tha…
extrema
Where:... f(x₀) > f(x) ... and... f(x₀) < f(x)... on a specific interval.…
Critical Point
x = c is a critical point of ƒ(x) if:... 1) c is actually in th…
Global (absolute) maximum and minimum
The point on the f(x) curve that is greater than and less tha…
Derivatives for Calculus 1
f(x)=sinx
f(x)=cosx
f(x)=tanx
f(x)=cotx
f'(x)=cosx
f'(x)=-sinx
f'(x)=sec^2x
f'(x)=-csc^2x
f(x)=sinx
f'(x)=cosx
f(x)=cosx
f'(x)=-sinx
12 terms
Calculus - Derivatives of Trig. Funtions
sin'(x)
cos'(x)
tan'(x)
sec'(x)
cos(x)
-sin(x)
sec^2(x)
sec(x)tan(x)
sin'(x)
cos(x)
cos'(x)
-sin(x)
19 terms
Calculus Derivates
d/dx sin(x) =
d/dx cos(x) =
d/dx tan(x) =
d/dx sec(x) =
cos(x)
-sin(x)
〖sec〗^2 (x)
sec(x)tan(x)
d/dx sin(x) =
cos(x)
d/dx cos(x) =
-sin(x)
Calculus Derivatives Ch 4
d/dx(sin^-1x)=
d/dx(cos^-1x)=
d/dx(tan^-1x)=
d/dx(cot^-1x)=
1/SR(1-x^2)
-1/SR(1-x^2)
1/1+x^2
1/1-x^2
d/dx(sin^-1x)=
1/SR(1-x^2)
d/dx(cos^-1x)=
-1/SR(1-x^2)
20 terms
AP Calculus Derivatives Formulas
Product Rule
Quotient Rule
Chain Rule
y=c
y'= fg' + gf'
y'= (f' g - g' f )/ g^2
y'= f'(g(x)) * g'(x)
y'=0
Product Rule
y'= fg' + gf'
Quotient Rule
y'= (f' g - g' f )/ g^2
13 terms
Calculus Derivatives Formulas (Chapter 2)
Power Rule y = x^n
Product Rule y = uv
Quotient Rule y = u/v
Chain Rule y = f(g(x)) = f(u)
y' = nx^(n-1)
y'= uv' + vu'
y'= (vu' - uv' )/ v^2
y'= f'(u) * u'
Power Rule y = x^n
y' = nx^(n-1)
Product Rule y = uv
y'= uv' + vu'
Calculus Unit 2: Derivatives
Derivative of sin(x)
Derivative of cos(x)
Derivative of tan(x)
Derivative of cot(x)
Cos(x)
-Sin(x)
Sec(x)sec(x)
-Csc(x)csc(x)
Derivative of sin(x)
Cos(x)
Derivative of cos(x)
-Sin(x)
23 terms
AP Calculus - Common Derivatives
Definition of a Derivative
Alternative Definition of a Derivative…
d/dx [c] (Constant)
d/dx [x]
lim ∆x→0 [(f(x+∆x)-f(x))/∆x]
lim x→c [(f(x)-f(c))/(x-c)
0
1
Definition of a Derivative
lim ∆x→0 [(f(x+∆x)-f(x))/∆x]
Alternative Definition of a Derivative…
lim x→c [(f(x)-f(c))/(x-c)
Calculus Chapter 3 Derivatives
Definition of a limit
Derivative of sin inverse
Derivative of tan inverse
Derivative of sec inverse
Definition of a limit
Derivative of sin inverse
30 terms
Calculus Identities and Derivatives
y = cxⁿ
y = u·v
y = u÷v
y = f(g(x))
y' = ncxⁿ⁻¹
y' = uv' + vu'
(vu' - uv') / v²
y' = f'(g(x))g'(x)
y = cxⁿ
y' = ncxⁿ⁻¹
y = u·v
y' = uv' + vu'
Calculus Derivates
d/dxsin(x)
d/dxtan(x)
d/dxsec(x)
d/dxcos(x)
cos(x)
sec2x
sec(x)tax(x)
-sin(x)
d/dxsin(x)
cos(x)
d/dxtan(x)
sec2x
Calculus Chapter 2 Derivatives
Definition of a Derivative
Quotient Rule
Product Rule
Dx sin(x)
low d high less high d low... down below the square goes
f o g' + g o f'
cos(x)
Definition of a Derivative
Quotient Rule
low d high less high d low... down below the square goes
22 terms
BC Calculus Derivative Flashcards
d/dx(sinU)
d/dx(cosU)
d/dx(tanU)
d/dx(cotU)
cos(U)U'
-sin(U)U'
sec²(U)U'
-csc²(U)U'
d/dx(sinU)
cos(U)U'
d/dx(cosU)
-sin(U)U'
12 terms
Calculus Derivatives: Dolyak
The Constant Rule
The Single Variable Rule
The Power Rule
The Constant Multiple Rule
The derivative of a constant function is 0
The derivative of x is 1
If n is a rational number then the function x^n is differenti…
If f is a differentiable function and c is a real number then…
The Constant Rule
The derivative of a constant function is 0
The Single Variable Rule
The derivative of x is 1
21 terms
Calculus Derivatives and Integrals
-cos x + c
sin x + c
tan x + c
-cot x + c
∫ sin x dx
∫ cos x dx
∫ sec2 x dx
∫ csc2 x dx
-cos x + c
∫ sin x dx
sin x + c
∫ cos x dx
13 terms
Calculus Terms (derivatives)
derivative
conditions of continuity
average rate of change
derivative of a constant
slope of the tangent
function defined, limit exists, fcn=limit
f(b)-f(a)/b-a
zero
derivative
slope of the tangent
conditions of continuity
function defined, limit exists, fcn=limit
6 terms
Calculus Trig Derivatives
sinx
cosx
tanx
cscx
cosx
-sinx
sec^2x
-cscxcotx
sinx
cosx
cosx
-sinx
6 terms
Calculus Trig Derivatives
Sinx
Cosx
Tanx
Secx
Cosx
-sinx
Sec^2x
Secxtanx
Sinx
Cosx
Cosx
-sinx
13 terms
AP Calculus AB - Derivatives
cos x
-sin x
sec2 x
sec x tan x
d/dx sin x
d/dx cos x
d/dx tan x
d/dx sec x
cos x
d/dx sin x
-sin x
d/dx cos x
8 terms
Calculus Trig Derivatives
Cos(x)
Sin(x)
Tan(x)
Cot(x)
-Sin(x)
Cos(x)
Sec^2(x)
-Csc^2(x)
Cos(x)
-Sin(x)
Sin(x)
Cos(x)
34 terms
Calculus Derivatives & Integrals
sin x
cos x
tan x
csc x
cos x
-sin x
sec² x
-csc x cot x
sin x
cos x
cos x
-sin x
Calculus ( Derivatives rules)
(d/dx)constant
(d/dx) x^n
(d/dx) e^x
(d/dx) lnx
0
nx^(n-1)
e^x
1/x
(d/dx)constant
0
(d/dx) x^n
nx^(n-1)
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