y = square root (8 + 7x)
find dy/dx
By chain rule:
1/2 (8+7x)^(-1/2) * (7)
Make sure to write the derivative using the same notation the original function is given.
Since it is given using radicals, write the derivative using radicals as well.
$\displaystyle y = \sqrt{8 + 7x}$
$\displaystyle \frac{dy}{dx} = \frac{7}{2\sqrt{8 + 7x}}$.