Find d2y/dx2 in terms of x and y if (x^2)-(y^2)=16.

1 answer:

5 0

We can use implicit differentition to determine the second derivative of y in terms of x. In this case, the first derivative is 2x dx - 2y dy = 0. The second derivative is 2 d2x - 2 d2y = 0. Hence d2y/d2x is equal to 1.

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<h3>Answer: x = 0.18 and x = -1.85</h3>

Work Shown:

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Visual confirmation is shown below. The solutions are the x coordinates of the x intercepts, aka roots. GeoGebra is another tool you can use if you prefer that over Desmos. Both are free apps.

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