A curve has the equation $y = \ln \sqrt{1 - 2x^{2}}$, show that the gradient of the curve at \(x =

Question

A curve has the equation $y = \ln \sqrt{1 - 2x^{2}}$, show that the gradient of the curve at $x = 2$ is $\frac{4}{7}$. given that $y$ decreases at a rate of $2$ units per second, determine the rate of change of $x$ when $x = 2$.

Accepted Answer

(b) $\therefore x$ is decreasing at a rate of $\dfrac{7}{2}$ units per second.

Rates of Change

Rates of Change

Video Solution:

Solution:

Solution locked