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CHETANA PUBLICATION-Differentiation-Exercise
- If x= a(costheta + sintheta), y= a(sintheta + costheta), then (d^2y)/(...
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- If y= a cos(log x) and A ((d^2 y)/(dx^2)) + B (dy/dx) + C = 0 , then ...
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- If x^y = e^(x-y), then dy/dx = ............ A) frac{1 + x}{1+ log x} ...
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- If y= 1- cos theta, x= 1- sin theta, then dy/dx at theta = pi /4 is......
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- If sec(frac{x+y}{x-y}) = a^2, then (d^2 y)/(dx^2) = ............ A) y...
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- If y = sec^(-1) (frac{sqrt x - 1}{x+sqrt x}) + sin^(-1) (frac{x + sqr...
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- Derivative of tan^3theta with respect to sec^3theta at theta = (pi/3) ...
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- If x^5y = (x+y)^(n-2) and dy/dx = y/x, then n=..........
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- If x= e^2log(e)(sin theta), y= e^2log(e)(cos theta), then dy/dx at ...
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- If y= sqrt (log x + sqrt (log x + sqrt (log x + .......oo))), then dy/...
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- If y= 5^(2log(5)(sin x)) + 7^(2log(7)(cos x)), then dy/dx= A) 1 B) -...
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- If y= (sin^(-1) x)^2, then (1-x^2) (d^2 y)/(dx^2) - x (dy/dx) = .........
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- If y= sin^(-1) (frac{5x+ 12 sqrt (1-x^2)}{13}), then (dy/dx) = ..........
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- If x= a(theta - sin theta), y= a(1- cos theta), then dy/dx=......... A...
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- 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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- If x^py^q = (x+y)^(p+q), then(d^2y)/(dx^2) =..........
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- If y= sin^2 (cot^(-1)sqrt (frac {1+x}{1-x})), then frac{dy}{dx}=.........
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- If x = e^theta (sin theta - cos theta), y = e^theta (cos theta + sin t...
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- The derivative of cos^(-1)(2x^2 -1) w.r.t. cos^(-1) x is ........... A...
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- If x= a(cos t + tsin t), y= a(sin t- t cos t), then dy/dx ...............
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