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Derivatives and Integrals of Transcendental Functions Flashcards | StudBud
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Derivatives and Integrals of Transcendental Functions
Find the integral
Find the derivative
Derivatives and Integrals of Transcendental Functions
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Derivatives and integrals of e and ln
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1
Find the derivative
f'(x) = -tan x
f'(x) = tan x
f'(x) = cot x
f'(x) = -cot x
2
Find the integral
ex2 + C
ex<span style="font-size: 13px;">2/2x + C</span>
x2+ex2 + C
2ex2 + C
3
Find the Derivative
f'(x) = 10xe2x + 1
f'(x)=10xe5x2 + 1
f'(x) = 10xex2 + 1
f'(x) = 10xe <span style="font-size: 13px;">+ 1</span>
4
Find the integral
(3e2x)/2 + C
3ex
None of these
3ex + C
5
Find the integral
(ln x)2 + C
(ln x)2/2+ C
ln x + C
ln x2 + C
6
Find the derivative
f'(x) = -1/(x+4)
f'(x) = 1/(x-4)
f'(x) = -1/(x-4)
f'(x) = 1/(x+4)
7
Find the deriviative
f'(x) = (1/x)sec2(ln x)
f'(x) = (1/x)sec(ln x)tan(ln x)
f'(x)=sec(1/x)tan(1/x)
f'(x) = sec(ln x)tan(ln x)
8
Find the derivative
f'(x) = 1/(2x)
f'(x) = -1/(x)
f'(x) = 1/(x)
f'(x) = -1/(2x)
9
Find the derivative
f'(x) = 2x(ln x)9x2
f'(x) = 9<span style="font-size: 13px;">x2 x ln9</span>
f'(x) = 2x(ln 9)
f'(x) = 2x(ln 9)9x2
10
Find the derivative
f'(x) = (ln 8)8-x
f'(x) = 8-x
f'(x) = -8-x
f'(x) = -(ln 8)8-x
11
Find the Derivative
f'(x) = 36e9x
f'(x) = 36xe9x
f'(x) = 4e36x
f'(x) = 4xe36x
12
Find the Integral
-5/(2x2) + C
5/(2x2) + C
-5lnx + C
5lnx + C
13
Find the derivative
f'(x) = 1/(2x+4)
f'(x) = 2x/(x2+4)
f'(x) = 2/x
f'(x) = 8/x
14
Find the Derivative
f"(x) = 20(ln 5)54x
f"(x) = 4(ln 5)54x
f"(x) = 5(ln 4)54x
f"(x) = 20(ln 4)54x