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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Differentiate the following w.r.t. x: (cos^(-1)x/2)/(sqrt(2x+7)), - ...
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- Differentiate the following w.r.t.x . (sqrt((x - 3)(x^2 + 4)))/(3x^2...
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- Differentiate the following w.r.t. x: x^2e^x sinx
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- Differentiate the following w.r.t. x: e^x cos^3 x sin^2x
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- Differentiate the following w.r.t. x: (x+6)^3 (x+2)^4(x+5)^5
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- Differentiate the following w.r.t. x: sqrt((x-1)(x-2)(x-3)(x-4))
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- If xy = e^(x-y), find dy/dx
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- If (sin x)^Y = (sin y)^x , find dy/dx :
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- If (cos x)^y = (cos y)^x, find dy/dx .
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- Differentiate log(x^x + cosec^2x) w.r.t.x
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- If x^p.y^q=(x+y)^(p+q) , show that dy/dx=y/x ;
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- If y = x^y, prove that (dy)/(dx) = (y^2)/(x(1 - y log x))
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- Differentiate the following w.r.t.x. If y^x = e^(y - x), prove that ...
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- If x^x + y^x = 1, prove that : dy/dx = -[(x^x (1+logx) + y^x.logy)/(x....
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- If x^y + y^x=1, find dy/dx
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- If x^y + y^x = log a, find dy/dx.
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- Show that if x^y + y^x = m^n, then: dy/dx = - (y^x logy +yx^(y-1))/...
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- Find the derivative of the function given by f(x) = (1+x)(1+x^2)(1+x^4...
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- Differentiate (x^2-5x+8)(x^3+7x+9) by using product rule.
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- Differentiate(x^2-5x+8)(x^3+7x+9) by expanding the product to obtain a...
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