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Mathematics course of the University of Cambridge

Past exam of the mathematics course of the University of Cambridge

2023

Paper 1

\b[No.] Take
$$
f(x)=\begin{cases}x,&x\geq0,\\2x,&x<0,\end{cases}
\qquad
g(y)=\begin{cases}2y,&y\geq0,\\y,&y<0.
\end{cases}
$$
Both <functions> are nonconstant on every interval and nondifferentiable at zero, but $g(f(x))=2x$ is <differentiable>.

Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / ia / Paper 1 / 3E / iii / Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / ia / Paper 1 / 3E / iii / Solution

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Past exam of the mathematics course of the University of Cambridge / 2023 / ia / Paper 1 / 3E / iii / Solution

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