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- If y=cos(sinx^2) then at x=sqrt(pi/2), (dy)/(dx)=
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- If f(x)=xtan^(-1)x, then f'(1) is equal to
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- If f(x)=(log)x(logx) , then f'(x) at x=e is equal to......
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- If y=(log)(sinx)(tanx) , then (((dy)/(dx)))(pi//4) is equal to.......
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- If x^my^n = (x + y)^(m+n), then (dy/dx)(x=1, y=2) is equal to
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- Let f, g and h are differentiable functions. If f(0) = 1; g(0) = 2; ...
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- Find the derivative with respect to x of ((log)(cosx)sinx)((log)(sinx)...
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- Evaluate: intsin^(-1)((2x+2)/(sqrt(4x^2+8x+13)))dx
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- Let f(x) = x^2-4x-3, x > 2 and let g be the inverse of f. Find the val...
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- Let f : R -> R be defined as f(x) = x^3 + 3x^2 + 6x-5 + 4e^(2x) and ...
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- Suppose f^-1 is the inverse function of a differentiable function f an...
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- If y = y(x) and it follows the relation e^(xy) + y cos x = 2, then fin...
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- A twice differentiable function f(x)is defined for all real numbers an...
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- If x=2cost-cos2t & y=2sint-sin2t , find the value of (d^2y//dx^2) when...
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- Find the value of the expression y^3((d^2y)/(dx^2)) on the ellipse 3x^...
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- If sqrt(x^2+y^2)=e^(sin^(-1)(y/(sqrt(x^2+y^2)))). Prove that (d^2y)/(d...
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- Find a polynomial function f(x) such that f(2x) = f'(x) f ''(x).
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- If 2x=y^(1/5)+y^(-1/5) then (x^2-1)(d^2y)/dx^2+xdy/dx=ky , then find t...
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- Let y=xsink x . Find the possible value of k for which the differentia...
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- The function f: RvecR satisfies f(x^2)dotf^(x)=f^(prime)(x)dotf^(prime...
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