How can we help?

You can also find more resources in our Help Center.

Study sets matching "ap calculus derivatives"

Study sets
Classes
Users

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)=
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'
32 terms
AP Calculus Ch. 3 Derivatives
Cusp
Corner
vertical tangent line
discontinuity
Cusp
Corner
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)=
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)
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)
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
32 terms
AP Calculus Ch. 3 Derivatives
Cusp
Corner
vertical tangent line
discontinuity
Cusp
Corner
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
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
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)=
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
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
16 terms
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)
30 terms
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
16 terms
AP Calculus BC - Derivatives
(c)
(u)
(sinu)
(cosu)
0
1
cosu * u'
(c)
0
(u)
1
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…
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)=
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
16 terms
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
37 terms
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)=
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
8 terms
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)
25 terms
AP Calculus BC - Derivatives
c
x
√x
0
1
2x
(1/2)x⁻¹/²
c
0
x
1
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
41 terms
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
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)
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
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
10 terms
AP Calculus Trig Derivatives
y = sin(x)
y = cos(x)
y = tan(x)
y = cot(x)
y' = cos(x)
y' = -sin(x)
y' = sec²(x)
y' = -csc²(x)
y = sin(x)
y' = cos(x)
y = cos(x)
y' = -sin(x)
17 terms
AP Calculus AB Derivatives
Cos(u)
-Sin(u)
Sec^2x
secutanu
Sin(u)
Cos(u)
Tan(u)
Sec(u)
Cos(u)
Sin(u)
-Sin(u)
Cos(u)
13 terms
AP Calculus AB Derivatives
eⁿ
1/x²
√x (or x^½)
tan(x)
eⁿ
2/x³
1/(2√x)
sec²(x)
eⁿ
eⁿ
1/x²
2/x³
1 of 10