SOLUTION: I'm not sure if this is the right place for this question, but it seemed the most appropriate. What is the derivative of this function given that: f(x)=(7x-9)^8 Any workings woul

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I'm not sure if this is the right place for this question, but it seemed the most appropriate. What is the derivative of this function given that: f(x)=(7x-9)^8 Any workings woul      Log On


   

Question 1048701: I'm not sure if this is the right place for this question, but it seemed the most appropriate.
What is the derivative of this function given that: f(x)=(7x-9)^8
Any workings would be greatly appreciated.
Found 3 solutions by josgarithmetic, advanced_Learner, solver91311:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%28y=kx%5En%2Cx%28t%29%29-------y is in terms of x, and x is a function of t.

dy%2Fdt=k%2An%2Ax%5E%28n-1%29%2A%28dx%2Fdt%29


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Slightly clearer steps:
dy%2Fdx=8%2A%287x-9%29%5E7%2A7
8%2A7%287x-9%29%5E7
56%287x-9%29%5E7

Answer by advanced_Learner(501) About Me  (Show Source):
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the chain rule. .

For , let

Then and , so

John

My calculator said it, I believe it, that settles it