## Calculus (3rd Edition)

$x=\frac{1}{2}$
The slope of the tangent line=4 $\implies \frac{dy}{dx}=4$ That is, $\frac{d}{dx}(x^{2}+3x-7)=4$ $\implies 2x+3=4$ Or $x=\frac{4-3}{2}=\frac{1}{2}$