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If x= a(`theta` - sin `theta`), y= a(1- cos `theta`), then dy/dx=......... A) `cot (frac{theta}{2})` B) `- cot (frac{theta}{2})` C) `tan (frac{theta}{2})` D) `- tan (frac{theta}{2})`

A

cot (`frac{`theta`}{2}`)

B

- cot (`frac{`theta`}{2}`)

C

tan (`frac{`theta`}{2}`)

D

- tan (`frac{`theta`}{2}`)

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CHETANA PUBLICATION-Differentiation-Exercise
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  3. If x= a(theta - sin theta), y= a(1- cos theta), then dy/dx=......... A...

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  4. If x= a cos^3 t, y= a sin^3 t, then dy/dx=..... A) -y/x B) -(y/x)^(1...

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  5. If x^py^q = (x+y)^(p+q), then(d^2y)/(dx^2) =..........

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  6. If y= sin^2 (cot^(-1)sqrt (frac {1+x}{1-x})), then frac{dy}{dx}=.........

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  7. If x = e^theta (sin theta - cos theta), y = e^theta (cos theta + sin t...

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  9. If x= a(cos t + tsin t), y= a(sin t- t cos t), then dy/dx ...............

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  10. If y= cot^(-1)(frac {1-3x^2}{3x - x^3}), then dy/dx=....... A) frac{3...

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  11. If log (sqrt (x^2 + y^2)) = tan^(-1)(frac{y}{x}), then frac{dy}{dx} is...

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  12. If x= a(t-1/t), y=a(t+1/t), then dy/dx =........ A) x/y B) y/x C) ...

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  13. If x^2 + 6xy + y^2 = 10, then frac{d^2y}{dx^2} =..........

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  14. If e^y = (x+1) then (d^2y)/(dx^2) =.......... A) (dy/dx)^2 B) -(dy/dx)...

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  15. If x= a(cos theta + sin theta), y= a(sin theta + cos theta), then [(d^...

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  16. If x^y = e^(x-y), then dy/dx = ............ A) frac {log x}{(1+logx)...

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  17. If y is a function of x and log(x+y) = 2xy, then the value of y'(0) = ...

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  18. If y= cos(x^2 + a^2) find dy/dx

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  19. Differentiate tan^(-1) (sqrt x) w.r.t. x

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

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