Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

For a Green Anaconda snake aged $t$ years, its length, $x$ metres, is approximated by the formula $x = 0.7\sqrt{(2t - 1)}$, where $1 \leq t \leq 10$. Using this formula, determine
(i)[2]

$\frac{dx}{dt}$.

(ii)[2]

the growth rate for a Green Anaconda snake aged 5 years.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Uses differentiation to produce an expression proportional to $(2t-1)^{-\frac{1}{2}}$

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