How do you find the slope of a tangent line to the curve $y = x - x^5$ at the point (1, 0)?

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Answer 1 · 2015-04-20T17:23:45

The slope of the tangent line to a curve in a point is the first derivative in that point, so:

$y'=1-5x^4$

and:

$m=y'(1)=1-5*1=-4$ .

How do you find the slope of a tangent line to the curve y = x - x^5y = x - x^5 at the point (1, 0)?