For the curve y = x² − 6x + 8, what is the gradient of the tangent at the point where x = 4?

Q: How do I try a free CXC Additional Mathematics question?

Just tap any of the four options on this page — no signup, no card, nothing to install. You'll see the correct answer and a full mark-scheme-style explanation within a second. Each visit shows a fresh randomly-picked question from the live CXC CSEC Additional Mathematics bank, so you can keep refreshing to try different ones before deciding whether to create a free account for daily access.

Q: Is Kramizo really free for CXC Additional Mathematics students?

Yes — completely free. Every student gets 45 questions a day on the free plan, across any board and any subject, with no card required and no trial countdown. Kramizo's optional Pro plan removes the daily cap and adds analytics, but the free plan is genuinely free forever. We make money from the small percentage of students who choose to upgrade — not from selling data or ads.

Q: Are the Additional Mathematics questions aligned to the CXC CSEC syllabus?

Every question is written against the published CXC CSEC Additional Mathematics syllabus and reviewed for accuracy before being added to the bank. We match the command words (state, describe, explain, evaluate), mark allocations, and difficulty tier you'll see on real CXC past papers. Explanations are written in the style of official examiner mark schemes so students learn exactly what marks are being awarded for.

Question

For the curve y = x² − 6x + 8, what is the gradient of the tangent at the point where x = 4?

Accepted Answer

2 — Award 1 mark for finding dy/dx = 2x − 6, and 1 mark for substituting x = 4 to get gradient = 2(4) − 6 = 2. B is incorrect — this would be the gradient at x = 3. C is incorrect — this would be the gradient at x = 2. D is incorrect — this confuses y-value with gradient.

Answer

2

Answer

8

Answer

−2

Answer

0

One real Additional Mathematics question.No signup. 30 seconds.

One real Additional Mathematics question.
No signup. 30 seconds.