Asked by Layla
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!!!
f(x)=(8x-3)^5/(6x+7)^12
Thank you!!!
Answers
Answered by
Steve
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
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
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