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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- 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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- Find d/(dx)(e^(sqrt(1+x^2)))
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- Find d/(dx) (2^(cos^2x))
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- Compute d/(dx) (sin^n(ax^2 + bx +c)), n in N.
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- If f(x) = sin^-1 x + cos^-1 x, find f' (x)
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- Find d/(dx)((8^x)/(x^8))
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- Compute d/(dx){sin^-1((1)/(sqrt(x+1)))}
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- Evaluate d/(dx) (sin^(m) x cos ^n x ), where m,n inN.
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- If y = (sinx)^cosx, find dy/dx
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- Differentiate x/(sinx) w.r.t sinx
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- If y = tan^-1 x , find (d^2y)/(dx^2) in terms of y alone.
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- Find dy/dx when tan^-1(x^2 + y^2) = a^2
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- If y = t + 1/t and x = t - 1/t find dy/dx
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- Find dy/dx when y = tan (x+y)
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- Find d/(dx) (tansqrtx)
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- Find d/(dx) (tansqrtx)
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