### Chapter 3 Test Number 5

find the derivative of the following function:

**y = 9^(7x)**

recognize that the chain rule must be used

remember the formula: (a^(x))' = (a^(x)) (ln a)

a=9

applying the chain rule to the exponent '7x',

so.... 9^(7x) (7x)'

the der. of 7x is 7

(9^7x)(ln9)(7) = y'(x)

**this answer matches the answer choice of 'b'**
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