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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Differentiate the following w.r.t.x. tan^(-1)(sec x + tan x)
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- Differentiate the following w.r.t. x: tan^-1sqrt((1-cosx)/(1+cosx))
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- Differentiate the following w.r.t. x: tan^-1sqrt((1+sinx)/(1-sinx))
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- Differentiate the following w.r.t. x: sin^-1x+sin^-1sqrt(1-x^2),-1lex...
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- Differentiate the following w.r.t. x: sin^-1(sqrt((1+x^2)/2))
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- If y = cot^-1{(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))}...
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- Differentiate w.r.t x : cot^-1{(sqrt (1+sin x) + sqrt (1-sin x))/(sqrt...
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- If y = tan^(-1)((5ax)/(a^2 - 6x^2)) . Prove that (dy)/(dx) = (3a)/(a^2...
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- If y = tan^-1 (4x)/(1+5x^2) + tan^-1(2+3x)/(3-2x), prove that dy/dx = ...
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- If f(x) = tan^-1x,g(x) = tan^-1((1+x)/(1-x)) fo |x| < 1, show that f' ...
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- If sqrt(1-x^6)+sqrt(1-y^6)=a^3(x^3-y^3), prove that : dy/dx = x^2/y^2s...
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- If y = tan^-1(cotx) + cot^-1(tanx), then prove that : dy/dx + 2 = 0
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- Differentiate : cos(2x+3)
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- Differentiate: cosx^2
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- Differentiate the following w.r.t. x: e^-x
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- Differentiate the following w.r.tx: e^(cot^-1x^2)
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- Differentiate the following w.r.tx: e^(mlogx)
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- Differentiate the following w.r.tx: sqrt(e^sqrtx), x > 0
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- Differentiate the following w.r.t x log(logx) , x > 1
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- Differentiate the following w.r.tx: log (sinx)
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