Question

How do you find the slope of the tangent line `y=x^3` at x=1?

Answer 1

3

Explanation:

The gradient (or slope) of the tangent to a curve at any particular point is given by the derivative at that point

If `y=x^3` then `dy/dx=3x^2`

When `x=1 => dy/dx =3`

So the slope equals 3