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AP Calculus AB Flashcards - Simple Trig Derivatives and Power/Product/Quotient Rules Flashcards | StudBud
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AP Calculus AB Flashcards - Simple Trig Derivatives and Power/Product/Quotient Rules
d/dx x/4
d/dx csc(θ)
AP Calculus AB Flashcards - Simple Trig Derivatives and Power/Product/Quotient Rules
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1
d/dx csc(θ)
sec(θ)
csc(θ)
csc(θ)cot(θ)
-csc(θ)cot(θ)
2
d/dx x/4
x/4
x/2
1/2
1/4
3
d/dx -sin(θ)
tan(θ)
-cos(θ)
cos(θ)
sin(θ)
4
d/dx sin
2
(2θ+1)
4sin(2θ+1)cos(2θ+1)
cos2(2θ+1)
4cos2(2θ+1)
4sin(2θ+1)
5
d/dx x
2
2x
2x2
x4
2
6
d/dx -csc(θ)
csc(θ)cot(θ)
-csc(θ)cot(θ)
-tan(θ)
tan(θ)
7
d/dx -sec(θ)
-tan2(θ)
tan(θ)
-sec(θ)tan(θ)
sec(θ)tan(θ)
8
d/dx -2sin(θ)
-2cos(θ)
cos(θ)
2cos(θ)
2sin(θ)
9
d/dx 8x
3
24x2
5x2
24x
16x2
10
d/dx -cos(-x)
sin(x)
-sin(x)
-sin(-x)
sin(-x)
11
d/dx p(x)h(x)
p(x)h(x) + p'(x)h'(x)
p'(x)h(x) + p(x)h'(x)
p'(x) + h'(x)
p'(x)h(x)
12
d/dx sec(θ)
sec(θ)tan(θ)
tan2(θ)
-sec(θ)tan(θ)
sec2(θ)
13
d/dx sin(cos(x))
cos2(x)
-cos(cos(x))(sin(x))
cos(cos(x))
cos(cos(x))(sin(x))
14
d/dx sin(θ)
cos(θ)
tan(θ)
-cos(θ)
-sin(θ)
15
d/dx p(x)/h(x)
p(x)h(x)-p'(x)h'(x)/h2(x)
p'(x)h(x)-p(x)h'(x)/(h'(x))2
p'(x)h(x)-p(x)h'(x)/h2(x)
p(x)h(x)-p(x)h'(x)/h2(x)
16
d/dx cot(θ)
csc(θ)cot(θ)
-csc2(θ)
cot(θ)
csc2(θ)
17
d/dx tan(0)
1
0
-1
DNE
18
d/dx tan(θ)
tan(θ)sec(θ)
tan2(θ)
sin(θ)/cos(θ)
sec2(θ)
19
d/dx cos(θ)
sin(θ)
cos(θ)
-cos(θ)
-sin(θ)
20
d/dx f(g(h(x)))
f'(g(h(x)))(g'(h(x))(h'(x))
h'(x)
f'(g(h(x)))(g'(h'(x))
f'(g(h(x)))
