What is the slope of the tangent line

Neveah Stewart

Neveah Stewart

Answered question

2022-03-15

What is the slope of the tangent line to the graph of y=exx+1 at x=1?

Answer & Explanation

queueryutisteh7n

queueryutisteh7n

Beginner2022-03-16Added 4 answers

The derivative is y=xex(1)ex1x2=ex(x+1)x2
Therefore the slope of the tangent line at x=1 is
y(1)=2e112=2e0.7358
y(1)=e11+1=1+ee, the equation of the tangent line at
x=1 is y=1+ee2e(x1)=2ex+3+ee0.7358x+2.1036

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