Question

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

y = ln x2

Answer 1

dy/dx = 2/x

Explanation:

y = In x^2

Let u = x^2

du/dx = 2x

y = In u

dy/du = 1/u

dy/dx = dy/du × du/dx = 1/u × 2x = 1/x^2 × 2x = 2/x