How do you find the slope of a

Cash Duncan

Cash Duncan

Answered question

2022-04-10

How do you find the slope of a tangent line to the graph of the function y=exx+1, at x=1?

Answer & Explanation

Ferrito90gn

Ferrito90gn

Beginner2022-04-11Added 12 answers

The slope (m) of the tangent to y at x=1 is y'(1)
Applying the quotient rule
y=((x+1)ex)(ex1)(x+1)2
=ex(x+1+1)(x+1)2
=ex(x+2)(x+1)2
m=e1(1+2)(1+1)2
=3e122
=34e

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