If f(x)=x3 and g(x)=x3−4x in −2≤x≤2, then consider the stateme

1.	If f(x)=x3 and g(x)=x3−4x in −2≤x≤2, then consider the statements: (A) f(x) and g(x) satisfy mean value theorem. (B) f(x) and g(x) both satisfy Rolle’s theorem. (C) Only g(x) satisfies Rolle’s theorem of these statements.
Answer» If $f (x) = x^{3}$ and $g (x) = x^{3} - 4 x$ in $- 2 \leq x \leq 2$ , then consider the statements: (A) f(x) and g(x) satisfy mean value theorem. (B) f(x) and g(x) both satisfy Rolle’s theorem. (C) Only g(x) satisfies Rolle’s theorem of these statements.

If f(x)=x3 and g(x)=x3−4x in −2≤x≤2, then consider the statements: (A) f(x) and g(x) satisfy mean value theorem. (B) f(x) and g(x) both satisfy Rolle’s theorem. (C) Only g(x) satisfies Rolle’s theorem of these statements.

Answer»

If $f (x) = x^{3}$ and $g (x) = x^{3} - 4 x$ in $- 2 \leq x \leq 2$ , then consider the statements:

(A) f(x) and g(x) satisfy mean value theorem.

(B) f(x) and g(x) both satisfy Rolle’s theorem.