Question

Find d2y/dx2 in terms of x and y.
y^3 = x^4

Answer 1

Although the equation is given implicitly, you can get a unique representation of y and avoid the need to do implicit differentiation.

\(y^{3} = x^{4} \implies y = x^{4/3}\)

From there it's just two applications of the basic power rule for differentiation.