Question Type 6: Finding the regions of the function in which it is concave up and concave down with technology Bootcamps

Find the intervals of concavity for $f(x)=\ln(x^2+1)$.

Find the regions where the function $f(x)=x^3-6x^2+9x+2$ is concave up and concave down.

Determine where $f(x)=\dfrac{x}{x^2+1}$ is concave up and concave down.

Find where the function $f(x)=\frac{1}{1+x^2}$ is concave up and concave down.

Using a graphing tool, find the intervals of concavity for $f(x)=\ln\bigl(e^{2x}+2x\bigr)$.

Using technology, determine the concavity intervals for $f(x)=e^{-x^2}$.

Determine concavity intervals of $f(x)=\dfrac{e^x}{1+e^x}$ using technology.

Determine the intervals of concavity for $f(x)=x^5-5x$.

Determine the concavity regions for $f(x)=x e^{-x}$ using technology.

Find the intervals of concavity for $f(x)=x^4-4x^3+4x$.

Using technology, determine the concavity of $f(x)=\sin x + x^2$ on its domain.