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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- 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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- If f(x) = |sin x - cosx|, find f' (pi//6)
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- If f(x) = |sinx| + | cos x|, find f'((3pi)/(4))
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- If y = sec x + tan x , then prove that dy/dx = 1/(1-sinx)
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- Can Rolle's Theorem be applied to the function f(x) = |x| in the inter...
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- Does there exist a point c(in)(0,pi/2) such that f' (c)= 0 where f(x) ...
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- Can Lagrange's Theorem be applied to the function f(x) = sqrt(1-x^2) i...
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- Is Lagrange's Theorem applicable to the function f(x) = |x| on the int...
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