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Study sets matching "calculus ab derivatives"

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Study sets matching "calculus ab derivatives"

15 terms
AB Calculus: Derivatives
d/dx sinx = ... d/dx cosx = ... d/dx tanx =
d/dx arctanx =
d/dx arcsinx =
d/dx e^x = ... d/dx lnx =
d/dx sinx = ... d/dx cosx = ... d/dx tanx =
d/dx arctanx =
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'
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 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)
20 terms
Calculus AB Derivatives Rules
y = (c)
y = x to the power of n
y = cf(x)
y = f(x) + g(x)
y = (c)
y = x to the power of n
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
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
19 terms
Calculus AB- Derivatives
First Definition of a Derivative
Second Definition of a Derivative
Specific Form of Derivative
Does differentiability imply continuity?
- Can be replaced by ∆X... - Slope of a tangent line
lim (x+h)^2 - (x-h)^2... h -> 0 2h
- If f(x) is differentiable at x=c if f(x) is continuous
First Definition of a Derivative
- Can be replaced by ∆X... - Slope of a tangent line
Second Definition of a Derivative
lim (x+h)^2 - (x-h)^2... h -> 0 2h
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
24 terms
Calculus AB Derivatives
k(u)
k
u × v
u/v
k
0
u'v + uv'
(u'v - uv')/v²
k(u)
k
k
0
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
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
8 terms
Calculus AB Trig Derivatives
Sinx
Cosx
tanx
cotx
F'(x) = (Cosx)x'
F'(x) = -(sinx)x'
F'(x) = (sec^2x)x'
F'(x) = -(csc^2x)x'
Sinx
F'(x) = (Cosx)x'
Cosx
F'(x) = -(sinx)x'
14 terms
Common Derivatives (AB Calculus)
derivative of sin(x)
derivative of cos(x)
derivative of tan(x)
derivative of cot(x)
cos(x)
-sin(x)
sec^2(x)
-csc^2(x)
derivative of sin(x)
cos(x)
derivative of cos(x)
-sin(x)
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 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'
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
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)
23 terms
Calculus AB Derivative Formulas
d/dx (cu)
d/dx(uv)
d/dx(c)
d/dx(x)
cu'
uv' + vu'
0
1
d/dx (cu)
cu'
d/dx(uv)
uv' + vu'
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
22 terms
AB Calculus Derivatives
d/dx[cu]
d/dx [ u ± v ]
d/dx [uv]
d/dx [ u/v ]
cu'
u' ± v'
uv' + vu'
(vu' - uv')/ v²
d/dx[cu]
cu'
d/dx [ u ± v ]
u' ± v'
11 terms
AB Calculus - Memorized Derivatives
d/dx(sin⁻¹ x) =
d/dx(cos⁻¹ x) =
d/dx(tan⁻¹ x) =
d/dx(eˣ ) =
1/√(1-x² )
-1/√(1-x² )
1/√(1+x² )
d/dx(sin⁻¹ x) =
1/√(1-x² )
d/dx(cos⁻¹ x) =
-1/√(1-x² )
13 terms
Derivatives Calculus AB
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)
12 terms
Calculus AB Derivatives
sin(x)
cos(x)
tan(x)
csc(x)
cos(x)
-sin(x)
sec^2(x)
-csc(x)cot(x)
sin(x)
cos(x)
cos(x)
-sin(x)
7 terms
Trig Derivatives Calculus AB
d/dx tan(x)
d/dx sec(x)
d/dx cot(x)
d/dx csc(x)
sec^2(x)
sec(x)tan(x)
-csc^2(x)
-csc(x)cot(x)
d/dx tan(x)
sec^2(x)
d/dx sec(x)
sec(x)tan(x)
12 terms
AB Calculus Trigonomic Derivatives
(d/dθ) sin θ
(d/dθ) cos θ
(d/dθ) tan θ
(d/dθ) cot θ
cos θ
-sin θ
sec^2 θ
-csc^2 θ
(d/dθ) sin θ
cos θ
(d/dθ) cos θ
-sin θ
12 terms
AB Calculus Trig Derivatives
d/dx arcsin(x)
d/dx arcos(x)
d/dx arctan(x)
d/dx arccot(x)
1/√(1-x²)
-1/√(1-x²)
1/(1+x²)
-1/(1+x²)
d/dx arcsin(x)
1/√(1-x²)
d/dx arcos(x)
-1/√(1-x²)
16 terms
AP Calculus AB: Derivatives
d/dx sin⁻1(u)
d/dx tan⁻¹(u)
d/dx sec⁻¹(u)
d/dx cos⁻¹(u)
1/(√1-u²) du/dx
1/(1+u²) du/dx
1/(|u| (√u²-1)) du/dx
-1/(√1-u²) du/dx
d/dx sin⁻1(u)
1/(√1-u²) du/dx
d/dx tan⁻¹(u)
1/(1+u²) du/dx
18 terms
Derivatives Calculus AB
ln(u)
Loga(x)
e^x
Derivative of #
x'/x
(x'/x)(1/lna)
(e^x)x'
0
ln(u)
x'/x
Loga(x)
(x'/x)(1/lna)
13 terms
AP Calculus AB Derivatives
deriv. of inverse sin of x
deriv. of inverse tan of x
deriv. of log base a to the x
deriv. of natural lnx
1/√1-x^2
1/1+x^2
1/xlna
1/x
deriv. of inverse sin of x
1/√1-x^2
deriv. of inverse tan of x
1/1+x^2
13 terms
AP Calculus AB - Derivatives
d/dx sin x
d/dx cos x
d/dx tan x
d/dx sec x
cos x
-sin x
sec2 x
sec x tan x
d/dx sin x
cos x
d/dx cos x
-sin x
8 terms
Calculus AB Derivatives
Derivative of SinX
Derivative of CosX
Derivative of TanX
Derivative of SecX
CosX
-SinX
Sec(^2)X
(SecX)TanX
Derivative of SinX
CosX
Derivative of CosX
-SinX
16 terms
Calculus AB Derivatives
ln(u)
e^u
LOGaU
a^u
u'/u
(e^u)u'
u'/(lna)u
(lna)u'(a^u)
ln(u)
u'/u
e^u
(e^u)u'
23 terms
Calculus AB Derivatives Identities
d/dx[cu]
d/dx[u±v]
d/dx[uv]
d/dx[u/v]
cu'
u'±v'
u'v+v'u
(u'v-v'u)v²
d/dx[cu]
cu'
d/dx[u±v]
u'±v'
27 terms
Derivatives and Integrals AB Calculus
integral(a^u du)
integral(cosu du)
integral(sinu du)
integral(tanu du)
a^u *1/lna +C
sinu+C
-cosu+C
-ln(cosu)+C
integral(a^u du)
a^u *1/lna +C
integral(cosu du)
sinu+C
25 terms
Calculus AB Derivatives
(constant)'
(x^n)'
(e^x)'
(constant * function)'
0
nxⁿ⁻¹
e^x
(constant) * (function)'
(constant)'
0
(x^n)'
nxⁿ⁻¹
13 terms
Derivatives in AP Calculus AB
derivative of tanx
derivative of cotx
derivative of secx
derivative of cscx
sec^2x
-csc^2x
tanxsecx
-cotxcscx
derivative of tanx
sec^2x
derivative of cotx
-csc^2x
28 terms
[Calculus AB] Derivatives and Integrals
∫sinx dx
∫cosx dx
∫sec^2 x dx
∫csc^2 x dx
-cosx + C
sinx + C
tanx + C
-cotx + C
∫sinx dx
-cosx + C
∫cosx dx
sinx + C
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
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'
14 terms
All the Derivatives (Calculus AB)
d/dx[xⁿ]
d/dx[a^x]
d/dx[e^x]
d/dx[log_a(x)]
nxⁿ⁻¹
ln(a)*a^x
e^x
1/(ln(a)*x)
d/dx[xⁿ]
nxⁿ⁻¹
d/dx[a^x]
ln(a)*a^x
25 terms
AP Calculus AB Derivatives and Intregals
d/dx sin x
d/dx cos x
d/dx tan x
d/dx sec x
cos x
-sin x
sec^2x
sec x tan x
d/dx sin x
cos x
d/dx cos x
-sin x
10 terms
AP Calculus AB Derivative Rules
Constant Rule
Constant Multiple Rule
Sum Rule
Difference Rule
Constant Rule
Constant Multiple Rule
30 terms
Derivatives, Antiderivatives and Concepts Calculus AB
Sin'x
Cos'x
Tan'x
Cot'x
Cosx
-sinx
Sec^2 x
-csc ^2 x
Sin'x
Cosx
Cos'x
-sinx
26 terms
AB AP Calculus Derivatives and Formulas
Derivative of sin(X)
Derivative of cos(x)
Derivative of tan(x)
Derivative of cot(x)
cos(x)
-sin(X)
sec^2(x)
-csc^2(x)
Derivative of sin(X)
cos(x)
Derivative of cos(x)
-sin(X)
16 terms
Ap Calculus AB Trig Derivatives
sin^-1
cos^-1
tan^-1
cot^-1
1/(√1 - x^2)
-1/(√1 - x^2)
1/(x^2 + 1)
-1/(x^2 + 1)
sin^-1
1/(√1 - x^2)
cos^-1
-1/(√1 - x^2)
31 terms
AP Calculus AB Derivatives and Integrals
d/dx[e^u] =
d/dx[ln u] =
d/dx[a^u] =
d/dx[sin u] =
e^u
1/u
ln a * a^x
cos u
d/dx[e^u] =
e^u
d/dx[ln u] =
1/u
17 terms
Manzano Calculus AB ~ Chapter 2 Derivatives
Limit Definition of a Derivative
Alternate Form of the Derivative
A function is not differentiable on a…
There is a vertical tangent line if...
a vertical tangent line (slope is undefined) or if there is a…
the derivative (slope) is undefined.
Limit Definition of a Derivative
Alternate Form of the Derivative
6 terms
Calculus AB (trig identity derivatives)
sin(x)
cos(x)
tan(x)
csc(x)
cos(x)
-sin(x)
sec(x)^2
-cot(x)•csc(x)
sin(x)
cos(x)
cos(x)
-sin(x)
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