derivative of e^{cos(x}+e^{sin(y)})

Lösung

\frac{d}{d x} (e^{c o s (x)} + e^{s i n (y)})

- e^{c o s (x)} sin (x) + e^{s i n (y)} cos (y) \frac{d y}{d x}

Schritte zur Lösung

\frac{d}{d x} (e^{c o s (x)} + e^{s i n (y)})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (e^{c o s (x)}) + \frac{d}{d x} (e^{s i n (y)})

\frac{d}{d x} (e^{c o s (x)}) = - e^{c o s (x)} sin (x)

\frac{d}{d x} (e^{s i n (y)}) = e^{s i n (y)} cos (y) \frac{d y}{d x}

= - e^{c o s (x)} sin (x) + e^{s i n (y)} cos (y) \frac{d y}{d x}

\frac{d}{d x} (lo g_{3} (5 x - 1))

d er i v a t i v e \frac{1}{2 r} + \frac{1}{9 r ^{\frac{8}{9}}}

\int - 9.8 d x

\frac{\partial}{\partial x} (11 x^{2} y + 8 x y^{3})

\frac{d}{d x} (\frac{1}{( 4 x ) ^{3}})