3. Differentiation

Tangents And Normals — Quiz

Test your understanding of tangents and normals with 5 practice questions.

Practice Questions

Question 1

For the curve $y = 2x^2 + 3$, what is the gradient of the tangent at the point where $x = 1$?

Question 2

What is the equation of the tangent line to the curve $y = x^2$ at the point $(2, 4)$?

Question 3

Given the curve $y = 3x^2 - 6x + 2$, what is the gradient of the tangent at the point where $x = 1$?

Question 4

What is the equation of the normal line to the curve $y = x^2$ at the point $(1, 1)$?

Question 5

For the curve $y = 4 - x^2$, what is the gradient of the tangent at the point where $x = 0$?