Question

How do I calculate the second derivative?

Answer 1

same rule as the 1st derivative , just apply it on the function of the 1st derivative
for example : f'(x) = x^3 - 2x
f''(x) = 3x^2 - 2

Answer 2

Take the derivative of the derivative.

Answer 3

If \[x^4+y^4=16\], show \[\frac{ d^2y }{ dx^2 } = \frac{ -48x^2 }{ y^7 }\]

I got the first derivative to be \[\frac{ -x^3 }{ y^3 }\]