8. Topic 8(COLON) Introduction to Differentiation

Lesson 8.1: Rate Of Change And The Gradient Of A Curve — Quiz

Test your understanding of lesson 8.1: rate of change and the gradient of a curve with 5 practice questions.

Practice Questions

Question 1

What is the average rate of change of the function $f(x) = x^2$ over the interval $[1, 3]$?

Question 2

If the function is $f(x) = 2x$, what is the gradient of the chord connecting the points $(-1, f(-1))$ and $(2, f(2))$?

Question 3

What is the derivative of the function $f(x) = 3x^3$ at $x = 2$?

Question 4

What is the slope of the tangent line to the curve $f(x) = x^2 + 2x$ at the point where $x = 1$?

Question 5

What does the gradient of a curve represent at a given point?