(\partial)/(\partial y)(sqrt(y+cos^2(x)))

Lösung

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

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

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

\int \frac{1}{x ^{2} - 6 x} d x

n = 1 \sum \infty tan (3 n)

d er i v a t i v e g (x) = \frac{x ^{2} - 64}{x + 8}

y^{^{''}} + 6 y^{^{'}} + 5 y = - 3 t e^{(4 t)}

\int 2 x - 3 x - x^{4} d x