How do you find the equation of the

Aedan Berry

Aedan Berry

Answered question

2022-04-18

How do you find the equation of the tangent line to the curve y=x2ex at (1, 1/e)?

Answer & Explanation

Latkaxu8j

Latkaxu8j

Beginner2022-04-19Added 11 answers

y=x2ex
By Product Rule,
y=2xex+x2(ex)=(2x)xex
To find an equation of a line, we need two things:
1. Point: (x1,y1)=(1,1e)
2. Slope: m=y(1)=(21)1e1=1e
By Point-Slope Form: yy1=m(xx1),
y1e=1e(x1)=xe1e
By adding 1e to both sides,
y=xe

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?