Given:
[tex]f(x)=7x^2\text{ + 7}[/tex]To find the slope of the tangent line of the function at the given value, evaluate the first derivative for the given.
The first derivative is:
[tex]\begin{gathered} f^{\prime}(x)=anx^{n-1} \\ f^{\prime}(x)\text{ = 14x } \end{gathered}[/tex]At x =-1:
[tex]\begin{gathered} f^{\prime}(x=-1)\text{ = 14(-1)} \\ =\text{ -14} \end{gathered}[/tex]Hence, the slope is -14
