Question

Evaluate d^2y/dx^2 for 2x^2+2y=17

Answer 1

d^2y/dx^2 = 2

Explanation:

We take the derivative with respect to x twice here. Find the first derivative, simplify the results and then differentiate that result again with respect to x.

(d/dx)(2x^2+2y=17+ → 4x + 2(dy/dx) = 0. Simplifying, we get:

dy/dx = -2x

Now take the derivative of this new equation, obtaining:

d^2y/dx^2 = 2