Let `G: (0,oo) rarr R` be a function such that it is anti derivative of `(3x+2)/sqrt(x-a)` with respect to `x` where `a` is taking largest possible value. If `G(10) =60` then the value of `G(13)` is

Find an anti-derivative of the function f(x)g(x)-f(x)g(x)

Let F(x) be the primitive of (3x+2)/(sqrt(x-9))w.r.t.x. .If F(10)=60 then the value of F(13)

Let f(x)=x^(3)+3x+2 and g(x) is inverse function of f(x) then the value of g'(6) is

Let g (x) = max (5 - x, x + 2). The smallest possible value of g (x) is

Let f:R rarr R defined by f(x)=x^(3)+e^(x/2) and let g(x)=f^(-1)(x) then the value of g'(1) is

Let f(x) and g(x) be the differentiable functions for 1<=x<=3 such that f(1)=2=g(1) and f(3)=10 .Let there exist exactly one real number c in(1,3) such that 3f'(c)=g'(c) ,then the value of g(3) must be

Let g:[1,3]rarr Y be a function defined as g(x)=In(x^(2)+3x+1). Then