Why isn't the answer to TMUA-P1-MM6-002 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM6-002 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM6-002?

No — calculators are banned in the TMUA. TMUA-P1-MM6-002 is set for a no-calculator target of about 150 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MM6-002?

TMUA-P1-MM6-002 is Paper P1 · Differentiation (specification code MM6), level 1. Drill more of the same topic from this page.

TMUA-P1-MM6-002 — Paper P1 · Differentiation · Level 1

P1MM6Level 1~150s target

Spec: MM6 · No calculator · ~150s

Let

f(x) = 3x^2 + 2x - 7

. What is the value of

f'(1)

Options

$6$
$8$
$10$
$12$
$3$

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: derivative-evaluation. Name the trap first, work the stem by hand, then open the solution below.

Show solution

f'(x) = 6x + 2

, so

f'(1) = 8

Keep practising

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Differentiate y = √x^3 (for x > 0 ) with respect to x.
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Let f(x) = x^3. What is the value of f''(2)?
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Open TMUA-P1-MM6-003 →

Browse more

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Keep practising

Same topic · same level

P1MM6Level 1

TMUA-P1-MM6-001

Differentiate y = x^5 with respect to x.

Differentiation

Open TMUA-P1-MM6-001 →

Step up a level

P1MM6Level 2

TMUA-P1-MM6-004

Differentiate y = √x^3 (for x > 0 ) with respect to x.

Differentiation

Open TMUA-P1-MM6-004 →

TMUA-P1-MM6-002 — Paper P1 · Differentiation · Level 1

Options

Keep practising

Master Differentiation

TMUA-P1-MM6-002 — Paper P1 · Differentiation · Level 1

Options

Keep practising

Master Differentiation