What is the equation of the line tangent to f(x)=(x-1)^{3}

Tomasz Gibson

Tomasz Gibson

Answered question

2022-02-17

What is the equation of the line tangent to f(x)=(x1)3 at x=3?

Answer & Explanation

poskakatiqzk

poskakatiqzk

Beginner2022-02-18Added 8 answers

f(3)=8
f(x)=3(x1)2
f'(3)=12
For a line with equation y=mx+c,
m=12
c=y-mx
=8-12(3)
=-28
Equation of line: y=12x-28

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