A function $f$ has a vertical asymptote at $x=8$, so neither $f$ nor $f^{\prime }$ is defined there. Is $x=8$ a critical point?

Find every critical point of $q(x)=2x^3+6x^2-18x$.

Find every critical point of $p(x)=2x^3+6x^2-48x$.

Find every critical point of $q(x)={\left(x-8\right)}^{2/3}$.

Find every critical point of $r(x)=\frac{x}{x-4}$.

Find every critical point of $f(x)={\left(x+4\right)}^{2/3}$.

Find every critical point of $u(x)={\left(x-3\right)}^{2/3}$.

Find every critical point of $f(x)=e^x-x$.

Find every critical point of $w(x)=2x^3+3x^2-36x$.

Find every critical point of $u(x)=2x^3-6x$.

Find every critical point of $f(x)=x{e}^x$.

Find every critical point of $f(x)=\cos x$ on the open interval $\left(0,2\pi \right)$, with $x$ in radians.

Find every critical point of $f(x)=\sin x$ on $\left[0,2\pi \right]$, with $x$ in radians.

Find every critical point of $r(x)=\frac{x}{x-1}$.

Find every critical point of $p(x)=2x^3-3x^2-12x$.

Find every critical point of $v(x)=2x^3+9x^2$.

Find every critical point of $q(x)={\left(x+5\right)}^{2/3}$.

Find every critical point of $v(x)=\frac{x}{x-2}$.

Find every critical point of $v(x)=\frac{x}{x+8}$.

Find every critical point of $f(x)=x\ln x$, for $x>0$.

Find every critical point of $f(x)=2x^3-3x^2-72x$.

Find every critical point of $g(x)=2x^3+12x^2$.

Find every critical point of $g(x)=\frac{x}{x+6}$.

A function $f$ has a vertical asymptote at $x=-1$, so neither $f$ nor $f^{\prime }$ is defined there. Is $x=-1$ a critical point?

Find every critical point of $u(x)=2x^3-18x^2+48x$.

A function $f$ has a vertical asymptote at $x=-9$, so neither $f$ nor $f^{\prime }$ is defined there. Is $x=-9$ a critical point?

Find every critical point of $s(x)=2x^3-24x$.

Find every critical point of $q(x)={\left(x+2\right)}^{2/3}$.

Find every critical point of $p(x)=2x^3+18x^2+48x$.

Find every critical point of $g(x)=2x^3-3x^2-36x$.