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 \(y=2x^2+2\), where \(x < 0\). Submit your answer as the angle in degrees. You may use the fact that \(\arctan \left( \frac{1}{2} \right)\approx 26^\circ\).

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