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FULL MARKS-DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION-EXERCISE 4 (Differentiate the following)
- find the derivative; y = x^( cos x)
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- Find the derivatives of the following : y = x^(log x) + (log x )^(x)
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- find the derivative; sqrt(xy) = e^((x-y))
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- find the derivative; x^(x) = y^(x)
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- Differentiate the following w.r.t. x:( cos x)^(log x)
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- Differentiate the following w.r.t. x; (x^2)/(a^2) + (y^2)/(b^2) =1
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- Find the derivatives of the following : sqrt ( x^2 + y^2) = tan^(-1)...
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- If tan (x + y) + tan (x - y) = x then find dy/dx
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- If cos ( xy) = x, show that (dy)/(dx) = -((1+ y sin (xy)))/(x sin xy)
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- Differentiate the following w.r.t. x; tan^(-1) sqrt((1 - cos x)/(1 + c...
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- Find the derivatives of the following : tan^(-1) ((6x)/(1-9x^2))
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- Find the derivatives of the following : cos [2 tan^(-1) sqrt((1 - x)/(...
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- Find the derivatives of the following : x = a cos^(3) t , y = a sin^(3...
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- If x =a ( cos t + t sin t), y = a [sin t-t cos t] then find dy/dx.
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- Find the derivatives of the following : x = (1-t^2)/(1+t^2), y = (2t)...
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- Find the derivatives of the following : cos^(-1) ((1 -x^2)/(1+x^2))
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- Find the derivatives of the following : sin^(-1) (3x-4x^3)
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- Find the derivatives of the following : tan^(-1) ((cos x + sin x)/(cos...
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- Find the derivative of sin x^2 with respect to x^2.
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- Find the derivative of sin^(-1) ((2x)/(1+x^2)) with respect to tan^(-1...
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