# Should I plot them?

Calculus Level 4

Find the slope of the tangent to the curve $y=\dfrac{1}{2x}+3$ at the point where $$x=-1$$. Find the angle which this tangent makes with the curve $y=2x^2+2, \text{ where } x < 0$

You may use the fact that $$\arctan \left( \dfrac{1}{2} \right)\approx 26^\circ$$.