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If f(x)=sinx,g(x)=x^(2)andh(x)=logx. IF ...

If `f(x)=sinx,g(x)=x^(2)andh(x)=logx.` IF `F(x)=h(f(g(x))),` then `F'(x)` is

A

`2x cot x^(2)`

B

`2 cosec^(3)x`

C

`-2cosec^(2)x`

D

None of these

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The correct Answer is:
A
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ARIHANT MATHS-DIFFERENTIATION -Exercise For Session 2
  1. Differentiate the following w.r.t.x. log(x+sqrt(a^(2)+x^(2)))

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  2. Differentiate the following w.r.t.x. log((a+bsinx)/(a-bsinx))

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  3. Differentiate the following w.r.t.x. logsqrt((1+sinx)/(1-sinx))

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  4. Differentiate the following w.r.t.x. (e^(x)+logx)/(sin3x)

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  5. Differentiate the following w.r.t.x. sin(msin^(-1)x),|x|lt1

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  6. Differentiate the following w.r.t.x. a^((sin^(-1)x)^(2)),|x|lt1

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  7. Differentiate the following w.r.t.x. e^(cos^(-1)(sqrt(1-x^(2)))),|x|lt...

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  8. Differentiate the following w.r.t.x. (xsin^(-1)x)/(sqrt(1-x^(2)))+logs...

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  9. Differentiate the following w.r.t.x. log(10)x+log(x)10+log(x)x+log(10)...

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  10. Differentiate the following w.r.t.x. 5^(3-x^(2))+(3-x^(2))^(5)

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  11. Differentiate the following w.r.t.x. (sqrt(a^(2)+x^(2))+sqrt(a^(2)-x^...

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  12. Differentiate the following w.r.t.x. sqrt(4+sqrt(4+sqrt(4+x^(2))))

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  13. Differentiate the following w.r.t.x. The differentiation coneffiecient...

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  14. f(x)=log(e)|x|,xne0, then f'(x) is equal to

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  15. If f(x)=sinx,g(x)=x^(2)andh(x)=logx. IF F(x)=h(f(g(x))), then F'(x) is

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  16. If f(x)=cosxcos2xcos4xcos8xcos16x," then "f'((pi)/(4)) is

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  17. If y=f((3x+4)/(5x+6))andf'(x)=tanx^(2), then (dy)/(dx) is equal to

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

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  19. If f'(x)=sinx+sin4x.cosx, then f'(2x^(2)) is

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  20. if f'(x)=sqrt(2x^2-1) and y=f(x^2) then (dy)/(dx) at x=1 is:

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