Practicing Success
The function $f(x)=x^3+1$ is : |
increasing in [2, 3] increasing at x= 1 only decreasing in [2, 3] neither increasing nor decreasing |
increasing in [2, 3] |
The correct answer is Option (1) → increasing in [2, 3] $f(x)=x^3+1⇒f'(x)=3x^2⇒x=0$ $x$ → point of inflexion as for $x<0,f'(x)>0$ $x≥0,f'(x)>0$ ⇒ increasing in R as $[2, 3] ∈ R$ increasing in [2, 3] |