Question

5. ( The set of values of 'a' for which f(x)= a’x - 123*dx is increasing for all x e Ris- (A)[-2,2] (B) (-00,-2] U [2,00) (C)[2,00) (0) (-0,-2]

JEE/Engineering Exams

Maths

Solution

116

4.0 (1 ratings)

( f(x)=a^{3} x-int_{2}^{3-x^{2}} d x ) ( f^{prime}(x)=a^{3}-2^{3-x^{2}}>0 ) ( Rightarrow quad a^{3} cdot x^{3-x^{2}} ) 2)( a^{3}>2^{3-x^{2}} Rightarrow[a geqslant 2] quad forall x in R ) op hon ( [2, infty) ) the