Let F(x) be the antiderivative of f(x)=3...

Let `F(x)` be the antiderivative of `f(x)=3 cosx-2sinx` whose graph passes through the point `((pi)/(2),1)`. Then `F((pi)/(3))` is equal to……..

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Knowledge Check

The anti - derivative of f(x) = e^(x//2) whose graph passes through the point (0,3) is :

A

`3e^(x//2)`

B

`4 e^(x//2-1)`

C

`2e^(x//2+1)`

D

None of these

The antiderivative of f (x) = log (log x ) + 1/(log x)^(2) whose graph passes through (e,e) is

A

`x (log (log x) + (log x)^(-1))`

B

`x (log (log x)- (log x)^(-1)) + e`

C

`x(log(logx)-(logx)^(-1)+2e`

D

none of these

If f(x)=|cosx| ,then f'(3pi)/(4) is equal to

A

`(1)/(sqrt2)`

B

`sqrt2`

C

`(1)/(2)`

D

`2sqrt2`

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Let F(x) be the antiderivative of f(x) = 1/(3+5 sin x + 3cos x) whose graph passes through the point (0,0). Then (F(pi//2))/(log8//3) is equal to

If f(x)=|cosx|, then f'((3 pi)/(4)) equal to

If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

If f(x) = |cosx| , then f'(pi/4) is equal to "……."

If f(x)=|cosx-sinx|, then f'(pi)/(2) is equal to

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