# What is the equation of the line tangent to # f(x)=2x-secx # at # x=pi/4#?

First of all, find the point the tangent line will intersect:

Differentiating the function:

Putting this together,

And the slope of the tangent line is

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The equation of the line tangent to f(x)=2x-secx at x=pi/4 is y = 2x - 2√2.

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