2. Intro to Derivatives

Given the function $f(x)=4x^2-1$, calculate the slope of the tangent line at $x=-3$.

Given the function $f(x)=x^2-10x+2$, calculate the slope of the tangent line at $x=2$.

Given the function $f(x)=x^2+100$, calculate the slope of the tangent line at $x=0$.

Given the function $f(x)=3(x^2-1)$, find the equation of the tangent line at $x=1$.