Calculus of hyperbolic functionsEdexcel A-Level Further Maths: Mind map

Derivatives

Rules

Integrals

Hyperbolic calculus

differentiate and integrate

sinhcoshtanh

Reverse chain

Applications

Exam tips

Exam questions on Calculus of hyperbolic functions

Let $f(x)=\cosh3x$ .
Find the exact gradient of the curve $y=f(x)$ at the point where $x=\frac13\ln2$ .2 marks
The curve $C$ has equation $y=\tanh3x$ .
Find the equation of the tangent to $C$ at the origin.2 marks
The curve $C$ has equation $y=x\sinh^2x$ .
Find $\frac{dy}{dx}$ .3 marks

See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).