Classify every critical point of $v(x)=2x^3+21x^2+72x$.

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

Classify the critical point of $r(x)={\left(x-2\right)}^{2/3}$ at $x=2$.

A differentiable function has $g^{\prime }\left(x\right)={\left(x+3\right)}^2$. Classify the critical point at $x=-3$.

A student writes: $w$ is positive to the left of $x=6$ and negative to the right, so $w$ has a relative maximum at $x=6$. Which best evaluates the argument?

Classify every critical point of $f(x)=2x^3+3x^2-12x$.

A differentiable function has $s^{\prime }\left(x\right)=-\left(x+3\right)\left(x-4\right)$. Where does $s$ have a relative MAXIMUM?

Classify every critical point of $q(x)=2x^3+12x^2+18x$.

A differentiable function has $g^{\prime }\left(x\right)={\left(x+6\right)}^2$. Classify the critical point at $x=-6$.

Classify the critical point of $g(x)={\left(x+7\right)}^{2/3}$ at $x=-7$.

A differentiable function has $r^{\prime }\left(x\right)={\left(x+1\right)}^2$. Classify the critical point at $x=-1$.

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

A student writes: $q^{\prime }\left(x\right)={\left(x+3\right)}^2$ is zero at $x=-3$, so $q$ has a relative minimum there. Which best evaluates the argument?

A differentiable function has $s^{\prime }\left(x\right)=-\left(x+4\right)\left(x-2\right)$. Where does $s$ have a relative MINIMUM?

Classify the critical point of $r(x)={\left(x-8\right)}^{2/3}$ at $x=8$.

A differentiable function has $v^{\prime }\left(x\right)={\left(x+2\right)}^2$. Classify the critical point at $x=-2$.

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

A differentiable function has $u^{\prime }\left(x\right)=-\left(x+6\right)\left(x-1\right)$. Where does $u$ have a relative MINIMUM?

Classify the critical point of $v(x)={\left(x+9\right)}^{2/3}$ at $x=-9$.

Classify every critical point of $r(x)=2x^3+6x^2$.

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

A student writes: $s$ is positive to the left of $x=2$ and negative to the right, so $s$ has a relative maximum at $x=2$. Which best evaluates the argument?

A differentiable function has $q^{\prime }\left(x\right)=-\left(x+4\right)\left(x+3\right)$. Where does $q$ have a relative MAXIMUM?

A student writes: $s$ is positive to the left of $x=-5$ and negative to the right, so $s$ has a relative maximum at $x=-5$. Which best evaluates the argument?

Classify every critical point of $f(x)=2x^3-12x^2$.

A differentiable function has $g^{\prime }\left(x\right)=-\left(x+6\right)\left(x-5\right)$. Where does $g$ have a relative MAXIMUM?

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

A differentiable function has $u^{\prime }\left(x\right)=-\left(x+2\right)\left(x-3\right)$. Where does $u$ have a relative MAXIMUM?

Classify the critical point of $r(x)={\left(x-5\right)}^{2/3}$ at $x=5$.

Classify every critical point of $u(x)=2x^3+15x^2+24x$.