How do you find the equation of the

Nevaeh Glass

Nevaeh Glass

Answered question

2022-04-13

How do you find the equation of the tangent line to the curve y=21+ex at (0,1)?

Answer & Explanation

convinto44re

convinto44re

Beginner2022-04-14Added 9 answers

Explanation:
Differentiate using the quotient rule.
y=0(1+ex)(2ex)(1=ex)2
y=2ex(1+ex)2
Find the slope of the tangent by plugging in your point x=a into the derivative.
y=21+e0
y=22
y'=1
Now find the equation.
yy1=m(xx1)
y-1=1(x-0)
y-1=-x
y=1-x

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