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The function is defined for all . The line with equation is the tangent to the graph of at . Write…

Mathematics20232 marksShort answer
The function $f$ is defined for all $x \in \mathbb{R}$. The line with equation $y = 6x - 1$ is the tangent to the graph of $f$ at $x = 4$.
(i)
Write down the value of $f'(4)$.
(ii)
Find $f(4)$.

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Applications of Derivatives

From ISC 2023 Specimen Mathematics Paper 1, question 4.