`y = e^x cos(x), (0, 1)` Find an equation of the tangent line to the curve at the given point.

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Chapter 3, 3.3 - Problem 22 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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balajia | College Teacher | (Level 1) eNoter

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The slope of tangent  to `y=e^xcosx` at (0,1) = `dy/dx` at (0,1)

 `dy/dx = e^x(cosx-sinx)`

Slope is equal to 1.

The equation of the tangent is equal to `y-1=1(x-0).`

That is `x-y+1=0.`


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