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CHETANA PUBLICATION-Differentiation-Exercise
- If x= a(cos t + tsin t), y= a(sin t- t cos t), then dy/dx ...............
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- If y= cot^(-1)(frac {1-3x^2}{3x - x^3}), then dy/dx=....... A) frac{3...
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- If log (sqrt (x^2 + y^2)) = tan^(-1)(frac{y}{x}), then frac{dy}{dx} is...
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- 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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- If x^2 + 6xy + y^2 = 10, then frac{d^2y}{dx^2} =..........
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- If e^y = (x+1) then (d^2y)/(dx^2) =.......... A) (dy/dx)^2 B) -(dy/dx)...
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- If x= a(cos theta + sin theta), y= a(sin theta + cos theta), then [(d^...
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- If x^y = e^(x-y), then dy/dx = ............ A) frac {log x}{(1+logx)...
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- If y is a function of x and log(x+y) = 2xy, then the value of y'(0) = ...
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- If y= cos(x^2 + a^2) find dy/dx
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- Differentiate tan^(-1) (sqrt x) w.r.t. x
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- Find dy/dx, if x= cosec^2theta, y= cot^3theta, at theta = (pi)/6
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- Differentiate x^x w. r. t. x
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- Find dy/dx if y= sin^(-1)(3x-4x^3)
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- Find (d^2y)/(dx^2) if y= log(log x)
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- Using derivative prove that sin^(-1) x + cos^(-1)x = (pi)/2
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- Differentiate 7^x w.r.t. x^7
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- If y= A cos (log x) + B sin(log x), show that x^2 y2 + xy1 + y =0
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- Find the derivative of the inverse of function y= 2x^3 - 6x and calcul...
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- Differentiate tan^(-1) (frac{5-x}{6x^2 -5x -3}) w.r .t. x
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