What is the equation of the tangent line

Roy Roth

Roy Roth

Answered question

2022-03-25

What is the equation of the tangent line of f(x)=x2ex+2 at x=-2?

Answer & Explanation

Jesse Gates

Jesse Gates

Beginner2022-03-26Added 19 answers

Explanation:
Writing
f(x)=x2ex2 so we get by the product and chain rule
f(x)=2xex2+x2ex2(1)
f(x)=ex2(2xx2)
and we get
f(2)=e22(44)=8
and we have
y=-8x+n
since f(-2)=4
we obtain n=-12

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