MATHEMATICS I (MATEMATİK I) - (İNGİLİZCE) Dersi Derivative and its Applications soru detayı:

CEVAP:

Let f(x) and g(x) be differentiable at x, then f(x) + g(x), f(x) – g(x), f(x) . g(x) and f(x) /g(x) (Here g(x) ? 0 must be satisfied) are also differentiable and
(f(x) + g(x))' = f' (x) + g'(x)
(f(x) – g(x))' = f ' (x) – g'(x)
(f(x) . g(x))' = f' (x) . g(x) + f(x) . g'(x)
(The Product Rule)