(\partial)/(\partial y)(tan(x^2+y))

Lösung

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

sec^{2} (x^{2} + y)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial y} (x^{2} + y) = 1

= sec^{2} (x^{2} + y) \cdot 1

Vereinfache

= sec^{2} (x^{2} + y)

d er i v a t i v e arcsin (x^{5})

d er i v a t i v e \frac{37500}{1 + 19 e ^{- 0.6 x}}

x \to 0 + lim (e^{x l n (x)})

\int (x^{2} + \frac{1}{x})^{2} d x

d er i v a t i v e - 384 e^{- 4 x}