How do you find the slope of the

Breanna Fisher

Breanna Fisher

Answered question

2022-04-11

How do you find the slope of the line tangent to the graph of y=ln(x2) at the point (4,ln(16))?

Answer & Explanation

Vegljamzt6

Vegljamzt6

Beginner2022-04-12Added 16 answers

First, differentiate using the chain rule:
Let y=ln(u) and u=x2. If so,  dy  dx =1u×2x=2xx2.
The slope of the tangent is given by substituting your point, x=a, into the derivative.
So, mtangent=2(4)42=816=12
Hence, the slope of the tangent is 12.

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