Question

The inflection point of a curve $f\left(x\right)=x^3+2x-1$ is $x=$

• A. $0$
• B. $-1$
• C. $1$
• D. No Inflection Points

Answer 1

The correct option is A $0$

Given $f\left(x\right)=x^3+2x-1$

To find the inflection point, we take the second derivative of the curve and equate to zero and then solve for x.

Therefore, $f^{{}^{\prime }}\left(x\right)=3x^2+2$

$f^{{}^{\prime \prime }}\left(x\right)=6x=0$

$⟹x=0$

Therefore, the inflection point of the curve $f\left(x\right)$ is $x=0$