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Find (d^2y)/dx^2 if: x^3+y^3-3axy=0...

Find `(d^2y)/dx^2` if:
`x^3+y^3-3axy=0`

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To find the second derivative \(\frac{d^2y}{dx^2}\) given the equation \(x^3 + y^3 - 3axy = 0\), we will follow these steps: ### Step 1: Differentiate the equation implicitly with respect to \(x\) Starting with the equation: \[ x^3 + y^3 - 3axy = 0 \] ...
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MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. Find (d^2y)/dx^2 if: sinx+cosy=1

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  2. Find (d^2y)/dx^2 if: y^2=a^2cos^2x+b^2sin^2x

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  3. Find (d^2y)/dx^2 if: x^3+y^3-3axy=0

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  4. If xsqrt(1-y^2)+ysqrt(1-x^2)=0, find the value of (d^2y)/dx^2 when y=1

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  5. If sqrty+1/sqrty=2x, show that (x^2-1)y2+xy1-4y=0

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  6. Without using derivative, find the maximum value and the minimum value...

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  7. Without using derivative, find the maximum value and the minimum value...

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  8. Without using derivative, find the maximum value and the minimum value...

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  9. Find the local maximum, the local minimum values, if any, using first ...

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  10. Find the local maximum, the local minimum values, if any, using first ...

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  11. Find the values of x, if any, for which f(x) has local maximum and loc...

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  12. Find the values of x, if any, for which f(x) has local maximum and loc...

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  13. Find the values of x, if any, for which f(x) has local maximum and loc...

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  14. Find the values of x, if any, for which f(x) has local maximum and loc...

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  15. Find the local maximum, local minimum, absolute maximum and absolute m...

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  16. Find the local maximum, local minimum, absolute maximum and absolute m...

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  17. Show that f(x)=3x-x^3 has a local maximum at x=1.

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  18. Show that f(x)=x^2+(250)/x has a local minimum at x=5.

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  19. Show that f(x)=1+x+x^2+x^3 has no local extremum.

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  20. Show that f(x)=x^3-3x^2+15x+2 has no local extremum.

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