Question

Find the slope of the tangent to curve y = x³ − x + 1 at the point whose x-coordinate is 2.

Answer 1

The given curve is.

The slope of the tangent to a curve at (x₀, y₀) is.

It is given that x₀ = 2.

Hence, the slope of the tangent at the point where the x-coordinate is 2 is given by,