Question

Let f, g and h are differentiable functions. If f(0) = 1; g(0) = 2; h(0) = 3 and the derivatives of their pair wise products at x = 0 are (fg)'(0)= 6; (gh)'(0) = 4 and (hf)'(0) = 5 then compute the value of(fgh)'(0).

Answer 1

= (6.3 + 4.1 + 5.2)/2 = 16