Study sets matching "ap calculus derivatives"

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Study sets matching "ap calculus derivatives"

32 terms
Kriegl AP Calculus derivatives
f'(x)
Alternate form of derivative ... f'(a)=
1
d/dx c
1
0
f'(x)
Alternate form of derivative ... f'(a)=
16 terms
AP Calculus AB - Derivatives
Derivative of sin(x)
Derivative of cos(x)
Derivative of tan(x)
Derivative of csc(x)
Derivative of sin(x)
Derivative of cos(x)
15 terms
AP Calculus Derivatives
d/dx (x^n)
d/dx (fg)
d/dx (f/g)
d/dx f(g(x))
nx^n - 1
fg' + gf'
(gf' - fg')/g²
f'(g(x))g'(x)
d/dx (x^n)
nx^n - 1
d/dx (fg)
fg' + gf'
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
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'
AP Calculus Ch. 3 Derivatives
Cusp
Corner
vertical tangent line
discontinuity
Cusp
Corner
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)
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
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
32 terms
AP Calculus Ch. 3 Derivatives
Cusp
Corner
vertical tangent line
discontinuity
Cusp
Corner
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
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
AP Calculus derivatives
f'(x)
Alternate form of derivative ... f'(a)=
1
d/dx c
1
0
f'(x)
Alternate form of derivative ... f'(a)=
15 terms
AP Calculus Derivatives
y = xⁿ
y = sinx
y = cosx
y = tanx
y¹ = nxⁿ⁻¹
y¹ = cosx
y¹ = −sinx
y¹ = sec²x
y = xⁿ
y¹ = nxⁿ⁻¹
y = sinx
y¹ = cosx
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…
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
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
23 terms
AP Calculus AB - Derivatives
Derivative of sin(x)
Derivative of cos(x)
Derivative of tan(x)
Derivative of csc(x)
cosu du
-sinu du
sec^2u du
-cscucotu du
Derivative of sin(x)
cosu du
Derivative of cos(x)
-sinu du
32 terms
AP Calculus Derivatives
sin²x + cos²x
1 + tan²x
1 + cot²x
tan x
1
sec²x
csc²x
1/cot x
sin²x + cos²x
1
1 + tan²x
sec²x
6 terms
AP Calculus Trig Derivatives
cot(x)
sec(x)
csc(x)
sin(x)
-csc ² (x)
sec(x)tan(x)
-csc(x)cot(x)
cos(x)
cot(x)
-csc ² (x)
sec(x)
sec(x)tan(x)
AP Calculus - Derivative Rules
Def: Derivative of sin(x)
Def: Derivative of cos(x)
Def: Derivative of tan(x)
Def: Derivative of cot(x)
Def: Derivative of sin(x)
Def: Derivative of cos(x)
21 terms
AP Calculus - Derivatives
uv (product rule)
u/v (quotient rule)
c (constant)
u^n (chain rule)
uv'+vu'
(vu'-uv')/v^2 ... hodhi-hidho/hoho
0 (zero)
uv (product rule)
uv'+vu'
u/v (quotient rule)
(vu'-uv')/v^2 ... hodhi-hidho/hoho
11 terms
AP Calculus - Derivatives
Def: Derivative of sin(x)
Def: Derivative of cos(x)
Def: Derivative of tan(x)
Def: Derivative of cot(x)
Def: Derivative of sin(x)
Def: Derivative of cos(x)
16 terms
AP Calculus BC - Derivatives
(c)
(u)
(sinu)
(cosu)
0
1
cosu * u'
(c)
0
(u)
1
32 terms
AP Calculus derivatives
f'(x)
Alternate form of derivative ... f'(a)=
1
d/dx c
1
0
f'(x)
Alternate form of derivative ... f'(a)=
30 terms
AP Calculus 2- Understanding the Derivative
Derivative
Discontinuity
Increasing Function
Infinity
A function which gives the slope of a curve; that is, the slo…
A point at which the graph of a relation or function is not c…
A function with a graph that goes up as it is followed from l…
A "number" which indicates a quantity, size, or magnitude tha…
Derivative
A function which gives the slope of a curve; that is, the slo…
Discontinuity
A point at which the graph of a relation or function is not c…
AP Calculus Derivatives/Integrals
d/dx(sinx)
d/dx(cosx)
d/dx(tanx)
d/dx(secx)
cosx
-sinx
sec²x
secxtanx
d/dx(sinx)
cosx
d/dx(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
AP Calculus: Special Derivatives
sin x
cos x
tan x
csc x
cosx
-sinx
sec²x
−cscxcotx
sin x
cosx
cos x
-sinx
17 terms
AP Calculus Derivatives
sin(x)
cos(x)
tan(x)
cot(x)
cos(x)
-sin(x)
sec²(x)
-csc²(x)
sin(x)
cos(x)
cos(x)
-sin(x)
40 terms
AP BC Calculus: Derivatives
d/dx sin x
d/dx cos x
d/dx tan x
d/dx x^n
cos x
-sin x
sec² x
n x^(n -1 )
d/dx sin x
cos x
d/dx cos x
-sin x
AP Calculus AB Derivatives
d/dx (constant) =
d/dx (x) =
d/dx (cscx) =
d/dx (cotx) =
0
1
-cscx × cotx
-csc²x
d/dx (constant) =
0
d/dx (x) =
1
32 terms
AP Calculus derivatives
Definition of the Derivative f'(x)
Alternate form of derivative ... f'(a)=
1
d/dx c
1
0
Definition of the Derivative f'(x)
Alternate form of derivative ... f'(a)=
AP Calculus: Trig Derivatives
derivative of sin(x)
derivative of cos(x)
derivative of tan(x)
derivative of sec(x)
cos(x)
-sin(x)
sec^2(x)
sec(x)tan(x)
derivative of sin(x)
cos(x)
derivative of cos(x)
-sin(x)
32 terms
Kriegl AP Calculus derivatives
f'(x)
Alternate form of derivative ... f'(a)=
1
d/dx c
1
0
f'(x)
Alternate form of derivative ... f'(a)=
19 terms
AP Calculus AB- Derivatives
(d/dx) c
(d/dx) x
(d/dx) uⁿ
(d/dx) e^u
The derivative of base to the n.
(d/dx) c
(d/dx) x
AP Calculus- Derivatives
sin(x)=
cos(x)=
tan(x)=
cot(x)=
cos(x)
-sin(x)
sec^2(x)
-csc^2(x)
sin(x)=
cos(x)
cos(x)=
-sin(x)
26 terms
AP Calculus BC Derivatives
d/dx(c)=
d/dx(x)=
d/dx(cx)=
d/dx(x^n)=
0
1
c
nx^n-1
d/dx(c)=
0
d/dx(x)=
1
25 terms
AP Calculus BC - Derivatives
c
x
√x
0
1
2x
(1/2)x⁻¹/²
c
0
x
1
AP Calculus Derivatives
Product Rule
Quotient Rule
When taking derivatives you should alw…
Derivatives of Trigonometric Functions
fg' + gf'
(gf' - fg') / g^2
clean up first... move anything in the denominator with an expon…
there are six
Product Rule
fg' + gf'
Quotient Rule
(gf' - fg') / g^2
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…
13 terms
Calculus AB AP Derivatives
(d/dx) sin(x)
(d/dx) cos(x)
(d/dx) tan(x)
(d/dx) cot(x)
cos(x)
-sin(x)
sec^2(x)
-csc^2(x)
(d/dx) sin(x)
cos(x)
(d/dx) cos(x)
-sin(x)
20 terms
AP Calculus Derivatives
d/dx c
d/dx n ^x
d/dx f(x)×g(x) [Multiplication Rule]
d/dx f(x)÷g(x)
0
n^x ln e
f(x)g'(x)+f'(x)g(x)
g(x)×f'(x) - f(x)×g'(x) ÷ (g(x))²
d/dx c
0
d/dx n ^x
n^x ln e
20 terms
AP Calculus AB | Derivatives
d/dx [cu]
d/dx [uv]
d/dx [uv]
d/dx [u/v]
cu'
u' v'
uv' + vu'
( vu' - uv')/v2
d/dx [cu]
cu'
d/dx [uv]
u' v'
44 terms
AP Calculus Limits and Derivatives
Area of a Triangle
Area of a Circle
Circumference of a Circle
lne
A=1/2bh
A=pir^2
A=2pir
1
Area of a Triangle
A=1/2bh
Area of a Circle
A=pir^2
20 terms
AP Calculus derivatives
x^n
f*g
f/g
f(g)
nx^n-1
g*f¹+f*g¹
g(f¹)-f(g¹)/g²
f¹(g)*g¹
x^n
nx^n-1
f*g
g*f¹+f*g¹
AP Calculus derivatives
y=sin^-1
y=cos^-1
y=tan^-1
y=csc^-1
1/√1-x^2
-1/√1-x^2
1/1+x^2
-1/|x|√x^2-1
y=sin^-1
1/√1-x^2
y=cos^-1
-1/√1-x^2
12 terms
AP Calculus AB Derivatives
f(x) = -x^2-x-1
f(x) = 2x^2-3
f(x) = 3x^4
f(x) = x^2(x^2+3)
f'(x) = -2x-1
f'(x) = 4x
f'(x) = 12x^3
f'(x) = 4x^3+6x
f(x) = -x^2-x-1
f'(x) = -2x-1
f(x) = 2x^2-3
f'(x) = 4x
6 terms
AP Calculus -- Trigonometric Derivatives
f'(sinx)
f'(tanx)
f'(secx)
f'(cosx)
cosx
sec2x
secxtanx
-sinx
f'(sinx)
cosx
f'(tanx)
sec2x
16 terms
AP Calculus AB - Chapter 3 Derivatives
Derivative of sin(x)
Derivative of cos(x)
Derivative of tan(x)
Derivative of csc(x)
Derivative of sin(x)
Derivative of cos(x)
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