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BANSAL-LIMITS AND DERIVATIVES-All Questions
- The derivative of sin^2x with respect to cos^2x is equal to....
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- The derivative of cos^(-1)((1-x^2)/(1+x^2)) w.r.t. cot^(-1)((1-3x^2)/(...
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- If y=(a^(cos^(-1)x))/(1+a^(cos^(-1)x)) and z=a^(cos^(-1)x), then (dy)/...
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- The second order derivative of a sin^3 t w.r.t, a cos^3 t at t = pi/4...
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- If y=sin((log)e x) , then x^2\ (d^2y)/(dx^2)+x(dy)/(dx) is equal to......
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- (d^(20))/(dx^(20))(2cosxcos3x) is equal to........
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- If y=x^3(log)e(1+x) , then y'(0) is equal to.......
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- If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)
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- f(x) and g(x) are two differentiable functions in [0,2] such that f"(...
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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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