Differentiate the following function using product rule. f(x)=(3x-9)(x-6)
killjoy1990xb9
Answered question
2021-12-07
Answer & Explanation
Jacob Homer
Beginner2021-12-08Added 41 answers
For functions given as product of functions f(x)g(x) the derivative using product rule is given as (f(x)g(x))'=f'(x)g(x)+f(x)g'(x). One property of derivatives that will be used is (cf(x))'=cf'(x). Here c is a constant.
Another property of derivatives that will be used is
Step 2
The function given is f(x)=(3x−9)(x−6). Use product rule and other properties to find the derivative.
f'(x)=(3x−9)'(x−6)+(3x−9)(x−6)'
=3(x-6)+(3x-9)
=3x-18+3x-9
=6x-27
Hence, the derivative of the function is 6x−27.
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