The quantities $x$ and $y$ satisfy $$y=3x^2+1.$$ At an instant when $x=2$, $x$ is decre

Question

The quantities $x$ and $y$ satisfy $$y=3x^2+1.$$ At an instant when $x=2$, $x$ is decreasing at $0.5$ units/s. Find $\dfrac{\mathrm{d}y}{\mathrm{d}t}$ and state whether $y$ is increasing or decreasing.

Accepted Answer

$\frac{\mathrm{d}y}{\mathrm{d}t}=-6$ units/s; decreasing.

Differentiation

Differentiation

Solution:

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