Find dy/dx given y = 4x^3 - 2x + 7.

Worked solution for TMUA-P1-MM6-014 is revealed on this page behind the solution details.

Why isn't the answer to TMUA-P1-MM6-014 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM6-014 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM6-014?

No — calculators are banned in the TMUA. TMUA-P1-MM6-014 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-MM6-014?

TMUA-P1-MM6-014 is Paper P1 · Differentiation (specification code MM6), level 1. Drill more of the same topic from this page.

TMUA-P1-MM6-014 — Paper P1 · Differentiation · Level 1

P1MM6Level 1~150s target

Spec: MM6 · No calculator · ~150s

Find

\frac{dy}{dx}

given

y = 4x^3 - 2x + 7

Options

$12x^2 + 2$
$4x^2 - 2$
$12x^2 - 2$
$12x - 2$

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: polynomial-differentiation, constant-vanishes. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Differentiate term by term:

12x^2 - 2 + 0 = 12x^2 - 2

, so the correct is C. Trap:

12x - 2

differentiates twice on the cubic term.

Keep practising

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Differentiate y = x^5 with respect to x.
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P1MM6Level 2
TMUA-P1-MM6-016
Find dy/dx given y = x^2(3x - 1).
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Step up a level
P1MM6Level 2
TMUA-P1-MM6-004
Differentiate y = √x^3 (for x > 0 ) with respect to x.
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Open TMUA-P1-MM6-004 →

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 →

Same trap: polynomial-differentiation

P1MM6Level 2

TMUA-P1-MM6-016

Find dy/dx given y = x^2(3x - 1).

Differentiation

Open TMUA-P1-MM6-016 →

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-MM6-014 — Paper P1 · Differentiation · Level 1

Options

Keep practising

Master Differentiation

TMUA-P1-MM6-014 — Paper P1 · Differentiation · Level 1

Options

Keep practising

Master Differentiation