Standard derivatives. Game on.

Standard derivatives is a grade 12 math skill: recall and apply the standard derivatives of polynomial, exponential, logarithmic, and trigonometric functions. Below are 3 practice questions with answers and step-by-step explanations, drawn from the 5 standard derivatives problems our math games drill.

5 questions in the bank
Kickoff

3 plays. No signup.

Warm-upeasy

What is ddx[ex]\dfrac{d}{dx}[e^x]?

ddx[ex]=ex\dfrac{d}{dx}[e^x] = e^x.

Mid-gameeasy

What is ddx[ln⁡x]\dfrac{d}{dx}[\ln x]?

ddx[ln⁡x]=1x\dfrac{d}{dx}[\ln x] = \dfrac{1}{x}.

Buzzer beatereasy

What is ddx[tan⁡x]\dfrac{d}{dx}[\tan x]?

ddx[tan⁡x]=sec⁡2x\dfrac{d}{dx}[\tan x] = \sec^2 x.

Overtime

2 more. Played, not assigned.

The rest of the bank lives inside live head-to-head matches — the placement test finds the right starting difficulty.

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More Grade 12 skills
Standard antiderivativesSpecial limitsTrig identitiesPolar and rectangular conversionMaclaurin seriesInverse trig domain and rangeDegree-radian conversionConvergence testsAll Grade 12 practice →

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