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

Question

23372 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-18T11:06:18

3

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

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