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If x^my^n = (x + y)^(m+n), then (dy/dx)(...

If `x^my^n = (x + y)^(m+n)`, then `(dy/dx)_(x=1, y=2)` is equal to

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BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. If f(x)=(log)x(logx) , then f'(x) at x=e is equal to......

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  2. If y=(log)(sinx)(tanx) , then (((dy)/(dx)))(pi//4) is equal to.......

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  3. If x^my^n = (x + y)^(m+n), then (dy/dx)(x=1, y=2) is equal to

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  4. Let f, g and h are differentiable functions. If f(0) = 1; g(0) = 2; ...

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  5. Find the derivative with respect to x of ((log)(cosx)sinx)((log)(sinx)...

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  6. Evaluate: intsin^(-1)((2x+2)/(sqrt(4x^2+8x+13)))dx

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  7. Let f(x) = x^2-4x-3, x > 2 and let g be the inverse of f. Find the val...

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  8. Let f : R -> R be defined as f(x) = x^3 + 3x^2 + 6x-5 + 4e^(2x) and ...

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  9. Suppose f^-1 is the inverse function of a differentiable function f an...

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  10. If y = y(x) and it follows the relation e^(xy) + y cos x = 2, then fin...

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  11. A twice differentiable function f(x)is defined for all real numbers an...

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  12. If x=2cost-cos2t & y=2sint-sin2t , find the value of (d^2y//dx^2) when...

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  13. Find the value of the expression y^3((d^2y)/(dx^2)) on the ellipse 3x^...

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  14. If sqrt(x^2+y^2)=e^(sin^(-1)(y/(sqrt(x^2+y^2)))). Prove that (d^2y)/(d...

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  15. Find a polynomial function f(x) such that f(2x) = f'(x) f ''(x).

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  16. 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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  17. Let y=xsink x . Find the possible value of k for which the differentia...

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  18. The function f: RvecR satisfies f(x^2)dotf^(x)=f^(prime)(x)dotf^(prime...

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  19. Let f(x)=[x e^x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ xlt=0x+x^2-x^...

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  20. 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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