For f(x)=(5+4x)^{2}, what is the equation of the line tangent

interestilo6z9

interestilo6z9

Answered question

2022-02-16

For f(x)=(5+4x)2, what is the equation of the line tangent to x=7?

Answer & Explanation

Elodie Williamson

Elodie Williamson

Beginner2022-02-17Added 7 answers

First find the slope at x=7, then use the point slope format to find the tangent line.
f(x)'=8(5+4x)
f'(7)=264
f(7)=1089
(yy1)=m(xx1)
(y-1089)=264(x-7)
Tangent Line : y=264x-759

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