Use logarithmic differentiation to find the derivative of the function.

Question

Use logarithmic differentiation to find the derivative of the function.

y = x^4x

Answer 1

ln y = 4x ln x

(1/y) (dy/dx) = 4x(1/x) + 4 ln x = 4(1 + ln x)

dy/dx = 4y(1 + ln x) = 4x^4x(1 + ln x)