Grade 12 Introduction to Derivatives Quiz

A free Grade 12 Introduction to Derivatives quiz. Play without signing up; sign in to save your score.

Grade 12 gradeMath subjectFree quiz

Grade 12 derivatives measure instantaneous rate of change: the limit of a difference quotient. Students use the power, product, quotient, and chain rules, and they interpret f′ as slope of the tangent line. Differentiability requires a well-defined tangent, so a corner can be continuous yet not differentiable.

The Grade 12 Introduction to Derivatives quiz is free to play without signing up. Sign in to save scores. Classic has a timer; Trivi gives three hearts; Learn is untimed with no score.

What you practice

These are the Grade 12 Introduction to Derivatives skills this quiz is built around.

Compute derivatives of polynomial, sine, cosine, and exponential functions with the basic rules.
Apply the product, quotient, and chain rules to a composite.
Interpret f′(a) as instantaneous rate and as slope of the tangent at x = a.

A useful tip

The chain rule multiplies by the inner derivative: d/dx [sin(2x)] = 2 cos(2x). Differentiating the outside only, and dropping the 2, is a common miss.

Frequently asked questions

What does Grade 12 Introduction to Derivatives practice?

Practice includes: Compute derivatives of polynomial, sine, cosine, and exponential functions with the basic rules; Apply the product, quotient, and chain rules to a composite; Interpret f′(a) as instantaneous rate and as slope of the tangent at x = a.

Is the Grade 12 Introduction to Derivatives quiz free?

Yes. This quiz is free to play without signing up. Sign in to save your scores and progress.

What game modes can I use?

Classic has a timer; Trivi gives three hearts; Learn is untimed with no score.