1 answer

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

Question:

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

Answers

First determine the derivative of the function with respect to x, then evaluate at x = 1.

Explanation:

#dy/dx# = #3/(1 + (3x)^2)# = #3/(1+9x^2#

Evaluating at x = 1:

slope = #3/(1+9)=3/10#

hope that helped!

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