Find an equation of the tangent line y = f(x) at x = a. f(x) = sin 4x, a = pi/8

Find an equation of the tangent line y = f(x) at x = a. f(x) = sin 4x, a = pi/8

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Hmm I think you've done a few of these types of problems. So I'm just curious, which result makes more sense to you. Seeing our tangent line in slope-intercept form: \(\large y=mx+b\), Or in point-slope form: \(\large y-y_o=m(x-x_o)\).

in slope intercept from

Ok we will have 2 pieces we need to find. \(\large m\) is the slope of our tangent line. Take the derivative of your function, and evaluate it at \(\large x=\pi/8\). That will be your \(\large m\) value.

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