Home
Class 12
MATHS
[" Let "phi(x)={{(x)}^(3)-3(f(x))^(2)+4f...

[" Let "phi(x)={{(x)}^(3)-3(f(x))^(2)+4f(x)+5x+3sin x+4cos x AA x in R," then "-],[[" (A) "phi" is increasing whenever "f" is increasing "," (B) "phi" is increasing whenever "f" is decreasing "],[" (C) is decreasing whenever "f" is decreasing "," (D) "phi" is decreasing if "f(x)=-11]]

Promotional Banner

Similar Questions

Explore conceptually related problems

phi(x)=(f(x))^(3)-3(f(x))^(2)+4f(x)+5x+3sin x+4cos x

f(x)=5+3sin x+4cos x

Let g(x)=(f(x))^(3)-3(f(x))^(2)+4f(x)+5x+3sin x+4cos x AA x in R Then prove that g is increasing whenever is increasing.

Let g(x)=(f(x))^3-3(f(x))^2+4f(x)+5x+3sinx+4cosxAAx in Rdot Then prove that g is increasing whenever f is increasing.

Let |f (x)| le sin ^(2) x, AA x in R, then

Let |f (x)| le sin ^(2) x, AA x in R, then

If g(x)=2f(2x^(3)-3x^(2))+f(6x^(2)-4x^(3)-3)AA x in R and f'(x)>0AA x in R then g(x) is increasing in the interval

If g(x) =2f(2x^3-3x^2)+f(6x^2-4x^3-3) AA x in R and f''(x) gt 0 AA x in R then g(x) is increasing in the interval

If g(x) =2f(2x^3-3x^2)+f(6x^2-4x^3-3) AA x in R and f''(x) gt 0 AA x in R then g(x) is increasing in the interval