Question

Find the derivative of the function y, below. It may be to your advantage to simplify before differentiating. y = 8x(ln(x)+ln(2))-4x+pi

Answer 1

so y = 8x ln(2x) - 4x + π

dy/dx = 8x(1/x) + 8ln(2x) - 4
= 8 + 8ln(2x) =- 4
= 4 + 8ln(2x)