Why isn't the answer to TMUA-P1-MM6-019 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM6-019 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM6-019?

No — calculators are banned in the TMUA. TMUA-P1-MM6-019 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-MM6-019?

TMUA-P1-MM6-019 is Paper P1 · Differentiation (specification code MM6), level 2. Drill more of the same topic from this page.

TMUA-P1-MM6-019 — Paper P1 · Differentiation · Level 2

P1MM6Level 2~150s target

Spec: MM6 · No calculator · ~150s

Find the

x

-coordinate of the stationary point of

y = x^2 - 4x + 3

Options

$x = 4$
$x = -2$
$x = 2$
$x = 1$

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: stationary-points, set-derivative-zero. Name the trap first, work the stem by hand, then open the solution below.

Show solution

\frac{dy}{dx} = 2x - 4 = 0

gives

x = 2

, so the correct is C. Trap:

x = -2

solves

2x + 4 = 0

with a sign slip.

Keep practising

Same topic · same level
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Same trap: stationary-points
P1MM6Level 2
TMUA-P1-MM6-008
The curve y = x^3 - 3x has a local maximum. What is its y -value?
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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?
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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: stationary-points

P1MM6Level 2

TMUA-P1-MM6-008

The curve y = x^3 - 3x has a local maximum. What is its y -value?

Differentiation

Open TMUA-P1-MM6-008 →

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-MM6-019 — Paper P1 · Differentiation · Level 2

Options

Keep practising

Master Differentiation

TMUA-P1-MM6-019 — Paper P1 · Differentiation · Level 2

Options

Keep practising

Master Differentiation