2. Pure Mathematics 2

Differentiation — Quiz

Test your understanding of differentiation with 5 practice questions.

Practice Questions

Question 1

Differentiate $f(x)=6x^2 - 4x + 7$:

Question 2

Find $\frac{dy}{dx}$ for $y=x^3e^x$:

Question 3

Given the implicit equation $x^2y + y^2 = 10$, find $\frac{dy}{dx}$:

Question 4

For $f(x)=x^3 - 6x^2 + 9x$, compute the second derivative $f''(x)$:

Question 5

For $y=x^3 -3x$, the stationary point at $x=1$ is a: