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Derivative of 5^(x) with respect to log(...

Derivative of `5^(x)` with respect to `log_(5)x` is

A

`x cdot 5^(x)`

B

`5^(x) (log 5)^(2)`

C

`x cdot 5^(x) (log 5)^(2)`

D

`x (log 5)^(2)`

Text Solution

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The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIATION -EVALUATION TEST
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  3. If f(x)=(cosx+isinx)(cos3x+isin3x)...(cos(2n-1)x+isin(2n-1)x) then f"(...

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  4. If y=f((3x+pi)/(5x+4)) and f'(x)=tan^2 x, then (dy)/(dx) at x=0 is

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  5. If y=|cosx|+|sinx|, then (dy)/(dx)" at "x=(2pi)/(3) is

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  6. If y = (1 + (2)/(x)) (1 + (2)/(x))(1 + (3)/(x))...(1 + (n)/(x)) x ...

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  7. If f(x)=x/(1+|x|) for x in R, then f'(0) =

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  14. If f(x), g(x), h(x) are polynomials in x of degree 2 If F(x)=|[f,g,h],...

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  17. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

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  18. If the function f defined on R-{0} os a dIfferentiable function and f(...

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  19. If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...

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