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Derivatives and Integrals
Derivatives and Integrals
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Derivatives and integrals
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1
Find the derivative
f'(x) = -tan x
f'(x) = -cot x
f'(x) = cot x
f'(x) = tan x
2
Find the derivative
f'(x) = 2x(ln 9)
f'(x) = 9x2 x ln9
f'(x) = 2x(ln x)9x2
f'(x) = 2x(ln 9)9x2
3
Find the derivative
f'(x) = 1/(x+4)
f'(x) = -1/(x+4)
f'(x) = 1/(x-4)
f'(x) = -1/(x-4)
4
Find the integral
3ex + C
3ex
None of these
(3e2x)/2 + C
5
Find the Integral
-5lnx + C
5/(2x2) + C
5lnx + C
-5/(2x2) + C
6
Find the derivative
f'(x) = 1/(x)
f'(x) = 1/(2x)
f'(x) = -1/(x)
f'(x) = -1/(2x)
7
Find the Derivative
f'(x) = 4e36x
f'(x) = 36e9x
f'(x) = 36xe9x
f'(x) = 4xe36x
8
Find the integral
(ln x)2/2+ C
ln x2 + C
ln x + C
(ln x)2 + C
9
Find the integral
ex2 + C
x2+ex2 + C
ex2/2x + C
2ex2 + C
10
Find the derivative
f'(x) = -(ln 8)8-x
f'(x) = (ln 8)8-x
f'(x) = 8-x
f'(x) = -8-x
11
Find the Derivative
f'(x) = 10xe2x + 1
f'(x) = 10xex2 + 1
f'(x) = 10xe2x
f'(x)=10xe5x2+ 1