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BANSAL-LIMITS AND DERIVATIVES-All Questions
- 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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- Let f(x)=[x e^x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ xlt=0x+x^2-x^...
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- f:[0,\ 1]->R is defined as f(x)=[x^3(1-x)sin(1/(x^2))\ \ \ if\ 0<xlt=1...
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- Let f: R->R satisfying f((x+y)/k)=(f(x)+f(y))/k( k != 0,2).Let f(x...
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- Let (f(x+y)-f(x))/2=(f(y)-a)/2+x y for all real xa n dydot If f(x) is ...
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- If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...
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