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Let f(x+y) = f(x).f(y), forall, x, y. Su...

Let f(x+y) = f(x).f(y), `forall, x, y`. Suppose f(5) =2, `f^(')(0) = 3` then `f^(')(5) =`

A

5

B

6

C

0

D

none of these

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B
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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
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  3. Let f(x+y) = f(x).f(y), forall, x, y. Suppose f(5) =2, f^(')(0) = 3 th...

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  4. lim(hto0)(cos^(2)(x+h)-cos^(2)x)/(h) is equal to :

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  6. If g(x) = 1/sqrt(9+x^(2) then lim(x rarr 4) ((g(x) - g(4))/(x-4) )=

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  7. Let f be twice differentiable function such that f^('')(x) = -f(x) and...

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  8. If y=e^(-x)(Acosx+Bsinx), then y satisfies :

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  9. If y = e^(2x)(A cos 3x - B sin 3x), then y satisfies

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  10. If y = Ae^(2x) + Be^(-3x), then y satisfies

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  11. If y = 2e^(-x)+3e^(-2x), then y satisfies

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  12. If y = (3x+5)e^(-2x), then y satisfies

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

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  16. If S(n) denotes the sum of n terms of a G.P., whose common ratio is r,...

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  17. y = 1/(1+x^(beta-alpha)+x^(gamma-alpha))+ 1/(1+x^(alpha-beta)+x^(gamma...

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  18. If y = (1+x^(1/4))(1+x^(1/2))(1-x^(1/4)), then dy/dx =

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  19. If f(x) = x sin x, then f^(')(pi/2) is equal to

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  20. Let f(x) = x-[x], x in R then f^(')(1/2) is

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