g(x)=2lg((x^(2))/(2))+f(6-x^(2))

A function g(x) is defined g(x)=2f((x^(2))/(2))+f(6-x^(2)),AA x in R such f'(x)>0,AA x in R, then mg(x) has

A function g(x) is defined g(x)=2f(x^2/2)+f(6-x^2),AA x in R such f''(x)> 0, AA x in R , then m g(x) has

int x{f(x^(2))g'(x^(2))-f'(x^(2))g(x^(2))}dx

int x{f(x)^(2) g''(x^(2))-f''(x^(2)) g(x^(2))} dx is equal to

If f (x) is defined [-2, 2] by f(x)=4x^(2)-3x+1 and g(x)=(f(-x)-f(x))/((x^(2)+3)) , then int_(-2)^(2)g(x)dx=

If f(x)=x+tan x and g(x) is inverse of f(x) then g'(x) is equal to (1)(1)/(1+(g(x)-x)^(2))(2)(1)/(1-(g(x)-x)^(2))(1)/(2+(g(x)-x)^(2))(4)(1)/(2-(g(x)-x)^(2))

If f(x)=x+tan x and f(x) is inverse of g(x), then g'(x) is equal to (1)/(1+(g(x)-x)^(2)) (b) (1)/(1+(g(x)+x)^(2))(1)/(2-(g(x)-x)^(2)) (d) (1)/(2+(g(x)-x)^(2))

If f(x)=(x^2)/(2-2cosx);g(x)=(x^2)/(6x-6sinx) where 0 < x < 1, then (A) both 'f' and 'g' are increasing functions