QuestionFind the slope of the tangent line to $f(x)=3 x^{2}$ at $x=4$ using the limit definition of the derivative.

Studdy Solution
implify the expression.
$$\lim{h \rightarrow0} \frac{f(4+h)-f(4)}{h}=24$$So, the slope of the tangent line to the curve $f(x)=3x^{}$ at $x=4$ is $24$.
$$f^{\prime}(4)=24$$