Question

Find dy/dx if y=(4x^2-5x)^8

Answer 1

dy/dx if y= (4x^2-5x)^8

Answer 2

dy/dx = 8(8x - 5)(4x² - 5x )^ 7

differentiate using the ' chain rule '

dy/dx = 8(4x² - 5x)^ 7 × d/dx (4x² - 5x)

         = 8(4x² - 5x)^ 7  × (8x - 5)

         = 8(8x - 5)(4x² - 5x)$^{7}$