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CHETANA PUBLICATION-Differentiation-Exercise
- If y= sqrt (sin x + sqrt (sin x + sqrt (sin x + .......oo))), then sho...
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- Find dy/dx if x sin y + y sin x = 0
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- Differentiate 3^x w.r.t. log(3)(x)
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- If y= tan^2 (log x^3), find dy/dx
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- If y= x^x, find dy/dx
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- If y= log(5x^2 + 7x - 2), find dy/dx
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- If y= sin^(-1) (cos 3x), find dy/dx
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- Find dy/dx, if x=at^2, y= 2at
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- Find (d^2 y)/(dx^2), if y= x^2 + 4x + 5
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- Find dy/dx, if y= sin x^0
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- If x= a(t-(1/t)), y=a(t+(1/t)), then show that dy/dx = x/y
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- If sqrt (1-x^2) + sqrt (1-y^2) = a(x-y), show that dy/dx = sqrt (frac...
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- If x^p y^q= (x+y)^(p+q), then prove that dy/dx = y/x
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- If y= (tan^(-1) x)^2 , show that (1+x^2)(d^2 y)/(dx^2) + 2x(1+x^2) (dy...
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- If log(10)(frac{x^3 -y^3}{x^3+y^3}) =2, then show that dy/dx = (-99x^2...
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- Differentiate: cos^(-1) frac{3cos x - 2 sin x}{sqrt 13} w.r.t. x
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- If y=cos^(-1) (2x sqrt (1-x^2)), find dy/dx
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- If y= e^(tan x) + (log x)^(tan x), then find dy/dx
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- Find dy/dx, if y= tan^(-1) frac{3a^2x - x^3}{a^3 - 3a x^2}
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- If sec^(-1) (frac {x+y}{x-y}) = a^2, show that dy/dx = y/x
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