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OSWAAL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-DIFFERENTIABILITY ( SHORT ANSWER TYPE QUESTIONS-I)
- y=tan^-1[(3x-x^3)/(1-3x^2)],-1/sqrt3ltxlt1/sqrt3
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- Find (dy)/(dx)," if "sin^(2)x + cos^(2)y= k, where k is constant.
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- Find the derivative of sqrt(x)+sqrt(y) = 9 " at "(4,9).
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- If y=log7(log7x), find (dy)/(dx)
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- Differentiate x^(sinx) , x gt 0 with respect to x.
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- if y=tan^-1((sinx)/(1+cosx)) prove that (dy)/(dx) = 1 / 2
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- x = 4t, y = (4)/(t)
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- Differentiate (x+1/x)^(x) w.r.t.x
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- x^(2) + xy + Y^(2) =100
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- If sqrt(x)+sqrt(y)=sqrt(10), show that (dy)/(dx)+sqrt(y/x)=0
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- differentiate sec(tan(sqrt(x)))
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- Find (dy)/(dx)" if "y=(log x)^("cos x)
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- If y=x^(x^x), then find dy/dx.
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- Find the derivative of x^x-2^(sinx) w.r.t. x
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- Find derivative of (e^x)/(sinx) w.r.t. to x
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- If y= tan (x+y)," find "(dy)/(dx).
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- Find the derivative of (3x^(2) - 7x + 3)^(5//2) with respect to x.
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- If y+ sin y= cos x," find "(dy)/(dx).
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- If y = (sin^(-1)x)^(x) find (dy)/(dx)
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- If y = sin(log(e) x) prove that (dy)/(dx) = sqrt(1-y^2)/x
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