Find the slope of the tangent at P=(4/m²,4/m).

01 / Standard#Your turn

y^2=4x,\quad m>0

Official paper · jm02-2022 · 3(c)(ii) · PDF 5

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Differentiate implicitly.

Hint 2

Substitute the ordinate 4/m.

Worked solution

Tangent slope m/2.

Checks and common pitfalls: The tangent slope differs from the secant slope m.

Reasoning checklist · self / teacher assessment

Teaching assessment checklist, independently authored. Use the original paper for official marks.
Obtain the slope formula.
$2y\frac{dy}{dx}=4\implies\frac{dy}{dx}=2/y$
Evaluate at P.
$\left.\frac{dy}{dx}\right|_P=\frac2{4/m}=m/2$

Think first. Reveal a hint when the class is ready.

2022 JM02