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Differentiate sin(cos x^(2)) with respec...

Differentiate `sin(cos x^(2))` with respect to x

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The correct Answer is:
`-2x sin x^(2) cos (cos^(2))`
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook Illustrations for Practice Work
  1. Find the derivative of the function given by f(x)= sin x^(2)

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  2. Find the derivative of tan (2x + 3)

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  3. Differentiate sin(cos x^(2)) with respect to x

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  4. Find (dy)/(dx) if x-y= pi

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  5. Find (dy)/(dx) if y+ sin y= cos x

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  6. Find the derivative of f given by f(x)= sin^(-1)x assuming it exists.

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  7. Find the derivative of f given by f(x)= tan^(-1)x assuming it exists

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  8. Is it true that x= e^(log x) for all real x?

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  9. Differentiate the following w.r.t x: (i) e^(-x) (ii) sin (log x), x ...

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  10. Differentiate sqrt((x-3) (x^(2) + 4))/sqrt((3x^(2) + 4x + 5)) w.r.t x.

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  11. Differentiate a^(x) w.r.t x, where a is a positive constant

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  12. Differentiate x^(sin x), x gt 0 w.r.t x

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  13. Find (dy)/(dx), If y^(x) + x^(y) + x^(x)= a^(b)

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  14. Find (dy)/(dx), if x = a cos theta, y= a sin theta

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  15. Find (dy)/(dx), if x= a t^(2), y= 2 a t

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  16. Find (dy)/(dx), if x= a (theta + sin theta), y= a (1- cos theta)

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  17. Find (dy)/(dx), if x^((2)/(3)) + y^((2)/(3))= a^((2)/(3))

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  18. Find (d^(2)y)/(dx^(2)), if y= x^(3) + tan x

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  19. If y= A sin x + B cos x, then prove that (d^(2)y)/(dx^(2)) +y= 0

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  20. If y= 3e^(2x) + 2e^(3x), prove that (d^(2)y)/(dx^(2))-5 (dy)/(dx) + 6y...

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