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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Write down the value of dy/dx at x = e when y = log(a) x
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- Compute d/(dx)(sin^-1(sinx)) when pi/2 le x le (3pi)/2
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- Find d/(dx)(cos^-1 (cosx)) when pi le x le 2pi
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- Find d/dx (tan^-1(tanx)) when - pi/2 < x < pi/2
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- Compute underset(h rarr0)Lim((sin(x+h) - sinx)/h)
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- Compute d/(dx) (log(e) |sinx|), - pi/2 < x < pi/2
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- Find the value of sin^-1 (cos(sin^-1x)) + cos^-1 (sin (cos^-1 x))
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- If f(x) is an even function, state whether f'(x) is an odd function or...
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- Find dy/dx when y = x^x, x > 0
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- Compute d/(dx) ((logx)/(x))
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- If x = sin t, y = cos t, find dy/dx
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- Find the differential coefficient of sqrt(1+x^2) w.r.t 1 +x ^2
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- If f(x)=logx(logx) then the value of f'(e) is
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- If f(x) = 1 - x, find (d/dx)(fof)(x)
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- If y = f (loge x) and f'(2) = 2, find dy/dx at x = e^2
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- If y = a sin x + b cos x, find (d^2y)/(dx^2) in terms of y.
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- If y =x^2, write the value of (d^3y)/(d(x)^3) at x = 0
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- What is the value of the underset(h rarr0) Lt ((log(e+h) - log e)/(h)?
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- If y = sin^-1((2x)/(1+x^2)) and -1 < x < 1, find dy/dx
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- Find d/(dx) (sin (cosx) + cos (sinx))
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