$3$

Multiple Choice

$1$ point

a$.$ Find the slope of the line tangent to the graph of $f(x)=7+4x^2$ using the following limit formula:

$f^{\text{'}}(a)=\underset{h0}{lim}\frac{f(a+h)-f(a)}{h}$

b$.$ Determine an equation of the tangent line at the point $(0,7).$

Slope $=0,$ Equation of the tangent line is: $y=7$

There is not enough information given to answer the question.

Slope $=28,$ Equation of the tangent line it $y=28x+7$

Slope $=0,$ Equation of the tangent line is: $x=0$

Slope $=-28,$ Equation of the tangent line is: $y=-28x+7$

$4$

Ordering

$1$ point