The function $f(x)=x^3,$ is increasing for : |
Only positive values of x Only negative values of x For all real values of x For only the values of x, such that $-1≤x≤1$ |
For all real values of x |
The correct answer is Option (3) → For all real values of x So $f'(x)=3x^2≥0$ for all $x∈R$ so $f(x)$ is increasing for every $x∈R$ |