(\partial)/(\partial x)(4sin(6x-7y))

Lösung

\frac{\partial}{\partial x} (4 sin (6 x - 7 y))

24 cos (6 x - 7 y)

Schritte zur Lösung

\frac{\partial}{\partial x} (4 sin (6 x - 7 y))

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{\partial}{\partial x} (sin (6 x - 7 y))

Wende die Kettenregel an:

cos (6 x - 7 y) \frac{\partial}{\partial x} (6 x - 7 y)

= cos (6 x - 7 y) \frac{\partial}{\partial x} (6 x - 7 y)

\frac{\partial}{\partial x} (6 x - 7 y) = 6

= 4 cos (6 x - 7 y) \cdot 6

Vereinfache

= 24 cos (6 x - 7 y)

d er i v a t i v e (x^{2} - 9)^{2}

\int (x^{2} + \frac{1}{( 3 x ) ^{2}}) d x

\int \frac{x ^{3} - 6 x ^{2} + 11 x - 6}{4 x ^{3} - 28 x ^{2} + 56 x - 32} d x

\int_{- \infty}^{0} e^{5 x} d x

\frac{\partial}{\partial x} (5 x ln (x^{2} + y))