Calculus with hyperbolic functionsAQA A-Level Further Maths: Mind map

Exam questions on Calculus with hyperbolic functions

1. The function $f$ is defined by $f(x)=\cosh 2x$.
   Find the exact value of $\int_0^{\ln2}f(x)\,dx$.2 marks
2. The function $g$ is defined by $g(x)=\tanh x$ for all real $x$.
   Find the exact gradient of the curve $y=g(x)$ at the point where $x=\ln3$.2 marks
3. A curve has equation $y=2\cosh x-3\sinh x$.
   Show that the curve has no stationary points.3 marks