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If f(x) = x +2, then f^(')(f(x)) at x = ...

If f(x) = x +2, then `f^(')(f(x))` at x = 4 is

A

8

B

1

C

4

D

5

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The correct Answer is:
B
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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
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  4. If y = x^(x)^(x)^(x)^(oo), then x(1-y log x) dy/dx =

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  5. If y = x+e^(x), then (d^(2)y)/(dx^(2)) is equal to

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  6. If f(x) = x +2, then f^(')(f(x)) at x = 4 is

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  7. If y = [f(x)}^(phi(x))then dy/dx is

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  8. If y = tan^(-1)((sqrt(1 + x^2)-1)/(x)), prove that (dx)/(dy) = 1/(2(1 ...

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  9. If f(x) = log |x|, x ne 0 then f^(')(x) equals

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  10. If f(x) = x tan^(-1)x, then f^(')(1) is equal to

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  11. If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)), then (dy)/(dx) is

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  12. If y=x^(x^(x^(x^(x^(oo))))), then x(dy)/(dx) is equal to

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  13. The derivative of log(10)x with respect to x^(2) is

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  14. If y = sin^(-1) (x/2) + cos^(-1) (x/2) then the value of dy/dx is

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  15. If g is the inverse function of f and f^(')(x) = 1/(1+x^(n)), then g^(...

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  17. If y = [log(cosx) (sin x)][log(sinx) cosx]+sin^(-1) ((2x)/(1+x^(2))) t...

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  18. The derivative of tan^(-1) ((2x)/(1-x^(2))) w.r.t sin^(-1) ((2x)/(1+x^...

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  19. If x = a (cos x + log tan theta/2) and y = a sin theta then dy/dx is ...

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  20. If f(x) = 1/(1-x), then the derivative of the composition function f[f...

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