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If x = e^theta (sin theta - cos theta), ...

If x = `e^theta` (sin `theta` - cos `theta`), y = `e^theta` (cos `theta` + sin `theta`), then `frac{dy}{dx}` at `theta` = `frac {pi}{4}` is ..........
(a) `-1`
(b) `1`
(c) `1/2`
(d) `-1/2`

A

-1

B

1

C

1/2

D

-1/2

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CHETANA PUBLICATION-Differentiation-Exercise
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  15. Differentiate tan^(-1) (sqrt x) w.r.t. x

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  16. Find dy/dx, if x= cosec^2theta, y= cot^3theta, at theta = (pi)/6

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  17. Differentiate x^x w. r. t. x

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  18. Find dy/dx if y= sin^(-1)(3x-4x^3)

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  19. Find (d^2y)/(dx^2) if y= log(log x)

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