Question

Find
`(d^2y)/(dx^2)` for the curve given by x = t2 and y = t3.

Answer choices:
1

3/4t

0

4t/3

Thanks so much!

Answer 1

3/(4t)

Explanation:

x = t²

t = x^½

y = t³

y = (x^½)³

y = x^(3/2)

dy/dx = 3/2 x^(1/2)

d²y/dx² = 3/4 x^(-1/2)

d²y/dx² = 3/(4t)