(\partial)/(\partial x)(cos(x^2+xy))

Lösung

\frac{\partial}{\partial x} (cos (x^{2} + x y))

- sin (x^{2} + x y) (2 x + y)

Schritte zur Lösung

\frac{\partial}{\partial x} (cos (x^{2} + x y))

Behandle

y

als Konstante

Wende die Kettenregel an:

- sin (x^{2} + x y) \frac{\partial}{\partial x} (x^{2} + x y)

= - sin (x^{2} + x y) \frac{\partial}{\partial x} (x^{2} + x y)

\frac{\partial}{\partial x} (x^{2} + x y) = 2 x + y

= - sin (x^{2} + x y) (2 x + y)

n = 3 \sum \infty \frac{6}{n ^{2} - 1}

im pl i c i t x^{5} + y^{5} = 10

x \to 0 - lim (\frac{1}{13 x})

d er i v a t i v e f (x) = \frac{4 ( x ^{2} - 1 )}{( 4 x ^{3} - 2 x ) ^{\frac{2}{3}}}

\int t e^{- t^{2}} d t