Methods2024 Exam 2 Section A · Q16CAS active1 mark

Gradient of tangent to square root of a function

Suppose that a differentiable function $f: R \to R$ and its derivative $f': R \to R$ satisfy $f(4) = 25$ and $f'(4) = 15$ .

Determine the gradient of the tangent line to the graph of $y = \sqrt{f(x)}$ at $x = 4$ .

1 mark

\sqrt{15}

\frac{1}{10}

\frac{15}{2}

\frac{3}{2}

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