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If x=varphi(t), y=psi(t),t h e n(d^(2y))...

If `x=varphi(t), y=psi(t),t h e n(d^(2y))/(dx^2)` is (a)`(varphi^(prime)psi^('')-psi'varphi' ')/((varphi^(prime))^2)` (b) `(varphi^(prime)psi^('')-psi'varphi' ')/((varphi^(prime))^3)` (c)`varphi^('')/psi^('')` (d) `psi^('')/varphi^('')`

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  3. If x=varphi(t), y=psi(t),t h e n(d^(2y))/(dx^2) is (a)(varphi^(prime...

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  5. f(x)=e^x-e^(-x) then find f'(x)

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  6. Find (dy)/(dx) for the function: y=sqrt(sinsqrt(x))

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  7. If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)),then (dy)/(dx)is eq...

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  8. Find (dy)/(dx) for the function: y=e^x + cos x

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  9. Find (dy)/(dx) for the function: y=x^3 + e^(2x)

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  10. Find (dy)/(dx) for the function: y=logsqrt(sinsqrt(e^x))

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  12. Find (dy)/(dx) for the function: y= x^(1/2) + Sin 2x

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  13. Find (dy)/(dx) for the function: y= Sin 5x

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  18. Let f: R → R be a one-one onto differentiable function, such that f(2)...

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  19. If f''(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 a...

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