Question 8
[Maximum number: 6]
The equation of a curve is .
Find the exact coordinates of the stationary point of the curve.
CAIE A-Level Mathematics 2.4.1 Advanced Differentiation
Practise differentiating eˣ, ln x and trigonometric composites with product, quotient and chain rules and solving derivative conditions for exact gradients or stationary points.
How this is tested
- differentiate eᵘ, ln u or a trig function and multiply by the derivative of u
- combine product or quotient terms before simplifying the derivative into a solvable form
- set the derivative to zero or evaluate it at the stated point to obtain an exact result