Why isn't the answer to TMUA-P1-MM6-018 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM6-018 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM6-018?

No — calculators are banned in the TMUA. TMUA-P1-MM6-018 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-MM6-018?

TMUA-P1-MM6-018 is Paper P1 · Differentiation (specification code MM6), level 2. Drill more of the same topic from this page.

TMUA-P1-MM6-018 — Paper P1 · Differentiation · Level 2

P1MM6Level 2~150s target

Spec: MM6 · No calculator · ~150s

What is the gradient of the tangent to

y = x^2

at the point

(3, 9)

Options

$3$
$9$
$6$
$12$

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: tangent-gradient, gradient-at-point. Name the trap first, work the stem by hand, then open the solution below.

Show solution

\frac{dy}{dx} = 2x = 6

x = 3

, so the tangent gradient is

6

and the correct is C. Trap:

9

is the

y

-coordinate, not the gradient.

Keep practising

Same topic · same level
P1MM6Level 2
TMUA-P1-MM6-004
Differentiate y = √x^3 (for x > 0 ) with respect to x.
Differentiation
Open TMUA-P1-MM6-004 →
Same trap: gradient-at-point
P1MM6Level 1
TMUA-P1-MM6-013
Find the gradient of y = 3x^2 at the point where x = 2.
Differentiation
Open TMUA-P1-MM6-013 →
Step up a level
P1MM6Level 3
TMUA-P1-MM6-009
The area of a circle is A = π r^2. The radius increases at 2 cm/s. At what rate is the area increasing when r = 5 cm?
Differentiation
Open TMUA-P1-MM6-009 →

Browse more

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Keep practising

Same topic · same level

P1MM6Level 2

TMUA-P1-MM6-004

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

Differentiation

Open TMUA-P1-MM6-004 →

Same trap: gradient-at-point

P1MM6Level 1

TMUA-P1-MM6-013

Find the gradient of y = 3x^2 at the point where x = 2.

Differentiation

Open TMUA-P1-MM6-013 →

Step up a level

P1MM6Level 3

TMUA-P1-MM6-009

The area of a circle is A = π r^2. The radius increases at 2 cm/s. At what rate is the area increasing when r = 5 cm?

Differentiation

Open TMUA-P1-MM6-009 →

TMUA-P1-MM6-018 — Paper P1 · Differentiation · Level 2

Options

Keep practising

Master Differentiation

TMUA-P1-MM6-018 — Paper P1 · Differentiation · Level 2

Options

Keep practising

Master Differentiation