how do you find the derivative of ((x)^7x)?

Answer 1

express x^7x as e^ln[x^7x]

by the laws of exponents, this can be rewritten as e^7x*ln[x]. This can be differentiated using the chain rule.

The derivative of e^7x*ln[x] = e^7x*ln[x] * the derivative of 7x*ln[x] which you can rewrite as x^7x * the derivative of 7x*ln[x].

This is x^7x * [7x*1/x +ln[x]*7] or x^7x * 7(1+ln[x]).

have fun!

Answer 2

Use the chain rule. Your answer will be: 7x^(7x).