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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Differentiate the following w.r.tx: x^2ln((sqrt((x^2+9)/(x^2+4))))
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- Differentiate the following w.r.tx: ln(Sec x + tanx)
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- Differentiate the following w.r.tx: log((1+x)/(1-x))
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- Differentiate the following w.r.t.x. log tan (pi/4 + x/2)
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- Differentiate the following w.r.t.x. sin^(-1)(2xsqrt(1 - x^2))
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- Find dy/dx if y=x^x
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- Find dy/dx when: xy + ce^-y + ye^x = x^2
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- If 1/2 (e^y - e^-y) = x, prove that : dy/dx = 1/(sqrt(1+x^2))
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- If xy = e^(x - y), prove that (dy)/(dx) = (y (x - 1))/(x (y + 1))
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- If y = (sin^-1x)/(sqrt(1-x^2)), prove that (1-x^2)(dy/dx)- xy = 1
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- If x=tan((1)/(2)logy), then show that (1+x^(2))(d^(2)y)/(dx^(2))=(a-2x...
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- Differentiate tan^-1((2^(x+1))/(1-4^x)) with respect to x.
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- If y = log10 sin x, prove that dy/dx=(log10 e) cotx
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- If y = sin[sin(log3x)]. Find dy/dx
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- Find, from first principle , the derivative of the following w.r.t. x:...
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- Find, from first principle , the derivative of the following w.r.t. x:...
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- Differentiate the following w.r.t. x: e^-x
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- Find, from first principle , the derivative of the following w.r.t. x:...
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- Find, from first principle , the derivative of the following w.r.t. x:...
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- Find, from first principle , the derivative of the following w.r.t. x:...
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