What is the slope of the line tangent

Kassandra Cherry

Kassandra Cherry

Answered question

2022-03-13

What is the slope of the line tangent to the graph of y=arctan(3x) at x=1?

Answer & Explanation

Meadow Franco

Meadow Franco

Beginner2022-03-14Added 6 answers

First determine the derivative of the function with respect to x, then evaluate at x = 1.
Explanation:
dydx=31+(3x)2=31+9x2
Evaluating at x = 1:
slope =31+9=310

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