Let `f(x) = sin^(2).(x)/(2) + cos^(2).(x)/(2)` and `g(x) = sec^(2)x - tan^(2)x`, the two functions are equal over the set

Let f(x) = sin^2(x//2) + cos^2(x//2) and g(x) = sec^2x- tan^2x . The two function are equal over the set :

f(x)=cot^(2)x*cos^(2)x, g(x)=cot^(2)x-cos^(2)x

Let f(x) = tan^(-1)(((x-2))/(x^(2)+2x+2)) ,then 26 f'(1) is

Let f(x)=sin^(-1)((2x)/(1+x^(2))) and g(x)=cos^(-1)((x^(2)-1)/(x^(2)+1)) . Then tha value of f(10)-g(100) is equal to

Let f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 tan^(-1)x x ge 0 , =-2 tan^(-1)x x gt 0 function fx) is continuous everywhere but not differentiable at x equals to

Let f(x) = x^(2) + 6x + 2 and g(x) = 9x +5 be two functions. Find (f+g)(x).

Let f(x) = tan x, x in (-pi/2,pi/2)and g(x) = sqrt(1-x^2) then g(f(x)) is

Let f (x) = (cos ^(2) x)/(1+ cos x+cos ^(2)x )and g (x) =lamda tan x+(1-lamda) sin x-x, where lamda in R and x in [0, pi//2). The values of 'lamda' such that g '(x) ge 0 for any x in [0, pi//2):

Let g (x )=f ( x- sqrt( 1-x ^(2))) and f ' (x) =1-x ^(2) then g'(x) equal to:

Let f(x)=(x^2-x)/(x^2+2x) then d(f^(-1)x)/(dx) is equal to