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If u = x^(2) + y^(2) " and " x = s + 3t...

If ` u = x^(2) + y^(2) " and " x = s + 3t, y = 2s - t , " then " (d^(2) u)/(ds^(2))` is equal to

A

12

B

32

C

36

D

10

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-DIFFERENTIATION -COMPETITIVE THINKING
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  4. If x=at^2,y=2at, then (d^2x)/(dy^2)=

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  10. If y=e^sqrtx+e^(-sqrtx), then (x(d^2y)/(dx^2)+1/2.(dy)/(dx)) is equal ...

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  11. If x=2at^3,y=at^4, then (d^2y)/(dx^2) at t=2 is

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  12. If x=acostheta,y=bsintheta , then (d^2y)/(dx^2) when theta=pi/4 is gi...

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  15. If x=3 cos t and y=4 sin t, then (d^2y)/(dx^2) at the point (x0,y0)=(3...

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  17. If y=(a^(cos^-1x))/(1+a^(cos^-1x))andz=a^(cos^-1x),then (dy)/(dx)=

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  19. Let g(x) be the inverse of the function f(x), and f'(x)=1/(1+x^3) then...

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  20. Let f(x)=tan^-1 x. Then, f'(x)+f''(x) is = 0, when x is equal to

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