MCQ
Let $f:\,\left( { - \infty ,\infty } \right) \to \left( { - \infty ,\infty } \right)$ be defined by $f(x) = x^3 + 1$.
Statement $1$ : The function $f$ has a local extremum at $x = 0$
Statement $2$ : The function $f$ is continuous and differentiable on $\left( { - \infty ,\infty } \right)$ and $f'(0) = 0$
- AStatement $1$ is true, Statement $2$ is false.
- BStatement $1$ is true, Statement $2$ is true, Statement $2$ is a correct explanation for Statement $1$
- CStatement $1$ is true, Statement $2$ is true, Statement $2$ is not the correct explanation for Statement $1$
- ✓Statement $1$ is false, Statement $2$ is true.