How do you find the slope of a

Aileen Rogers

Aileen Rogers

Answered question

2022-04-10

How do you find the slope of a tangent line to the graph of the function f(x)=16x at x=9?

Answer & Explanation

webhui2v2

webhui2v2

Beginner2022-04-11Added 10 answers

Start by finding the derivative.
f(x)=16x=1(6x)12=(6x)12
Now by the chain rule, letting y=u12 and u=6x, we have.
f(x)=12u326=3u32=3(6x)32
The slope of the tangent at x=9 is
f(9)=3(6(9))32=35432

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