Question

Find the derivative of the following function showing your work and fully simplifying your answer.

f(x)=(8x-3)^5/(6x+7)^12

Thank you!!!

Answer 1

just use the quotient rule and chain rule. If

f = u/v
f' = (u'v-uv')/v^2

f' = 5(8x-3)^4(8)(6x+7)^12 - (8x-3)^5(12)(6x+7)^11(6)]/(6x+7)^24

= -16(8x-3)^4(21x-31)/(6x+7)^13