Suppose `F(x)=f(g(x))` and `g(3)=5, g'(3)=3, f'(3)=1, f'(5)=4` Then `F'(3)=`

Suppose that h(x)=f(x)g(x) and F(x)=f(g(x)) where f(2)=3g(2)=5g'(2)=4f'(2)=-2 and f'(5)=11 then

If h (x) =sqrt(4 f(x)+3g(x)) , f (1) = 4, g (1)= 3, f '(1)= 3, g'(1)= 4, find h' (1).

Suppose thath (x)=f(x).g(x) and F(x)=f(g(x))f(2)=3;g(2)=5;g(2)=4;f(2)-=2 and f'(5)=11 then

Given f'(x)=g(x)" and "g'(x)=f(x)." Also, "f(3)=5" and "f'(3)=4." Then, the value of: "[f(10)]^(2)-[g(10)]^(2)=

If h(x) = sqrt(4f(x) + 3g(x) , f(1) = 4, g(1) =3, f'(1) =3, g'(1) = 4 , find h'(1)

f(x) and g(x) are two real valued function.If f'(x)=g(x) and g'(x)=f(x)AA x in R and f(3)=5,f'(3)=4 .Then the value of (f^2(pi)-g^(2)(pi)) is equal to

If f'(4)=5, f(4)=3, g'(6)=7 and R(x)=g[3+f(x)] then R'(4)=

Suppose that g(x)=1+sqrt(x) and f(g(x))=3+2sqrt(x)+x, then f(x) is