What is the slope of the line tangent to the curve y = arctan(4x) where x = 1/4?

The slope of the line tangent to the curve y = arctan(4x) where x = 1/4 is 2

Given the function

The slope of the function can be given by differentiating the function as shown below;

On differentiating the given function

Substitute x = 1/4 into the result to have:

Hence the slope of the line tangent to the curve y = arctan(4x) where x = 1/4 is 2

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