Skip to content

Salam Academy

Sign in Create account

LearnEdexcelYMA012018 specificationWMA13 · Pure Mathematics 3Differentiation

WMA13 · Module

Differentiation

4 subtopics≈ 170 min in total

Start the module: Derivatives of eˣ, ln x and trigonometric functions Open graphing calculator

Derivatives of eˣ, ln x and trigonometric functions
The derivatives of $e^x$ , $\ln x$ , $\sin x$ , $\cos x$ and $\tan x$ , why they need radians, and how to combine them with the chain rule for functions like $e^{3x}$ , $\ln(x^2+1)$ and $\sin^2x$ .
≈ 40 min
The chain rule
How to differentiate a function of a function, such as $(2x-5)^4$ or $\sqrt{x^2+5}$ , without multiplying out: differentiate the outside, keep the inside, and multiply by the derivative of the inside.
≈ 40 min
The product and quotient rules
How to differentiate two functions multiplied together, $uv$ , or divided, $\dfrac uv$ , and how to tidy the result by factorising, so it is ready for finding stationary points.
≈ 45 min
Stationary points and tangents
Putting the Pure 2/3 rules to work: finding exact stationary points of curves like $y=xe^{2x}$ and $y=\dfrac{\ln x}{x}$ , deciding their nature, and finding tangents and normals.
≈ 45 min