Question

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

Answer 1

Slope = -4

Explanation:

`y=x-x^5`

`(dy)/(dx)=1-5x^4`

Since `x=1`:

`(dy)/(dx)=1-(5xx1)=-4`