23. Intro to Derivatives & Area Under the Curve

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

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

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

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

Find the derivative of the function $f\left(x\right)=4x^2-9x$.

Use the definition of a derivative, to find the derivative of the function $g(x)=x^3$ at $x=-1$.