If x = t^2 and y = t^3, where a is a constant, then find d^2y/dx^2 at x = 1/2.

Question

If x = t² and y = t³, where a is a constant, then find \(\frac{d^2y}{dx^2}\) at x = \(\frac{1}{2}\).

Answer 1

Given:

x=t² ;y=t³

\(=\frac{3}{4}\)