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

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

A

`4x{cos(2x^(2))-sin8x^(2).sin2x^(2)}`

B

`4x{cos(2x^(2))+sin8x^(2).cos2x^(2)}`

C

`{cos(2x^(2))-sin8x^(2).sin2x^(2)}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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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 w.r.t. 'x' : f(x) = log((a+b sin x)/(a - b sin x))

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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. If f(x) =|log(e)|x||, then f'(x) equals

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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) = cos x cos 2x cos 4x cos 8x cos 16x then find f' (pi/4)

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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 = |cos x| + |sin x|,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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