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Beliebt Rechnen >

(\partial)/(\partial x)(rcos(t)sin(x))

Lösung

\frac{\partial}{\partial x} (r cos (t) sin (x))

Lösung

r cos (t) cos (x)

Schritte zur Lösung

\frac{\partial}{\partial x} (r cos (t) sin (x))

Behandle

r, t

als Konstanten

Entferne die Konstante:

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

= r cos (t) \frac{\partial}{\partial x} (sin (x))

Wende die allgemeine Ableitungsregel an:

\frac{\partial}{\partial x} (sin (x)) = cos (x)

= r cos (t) cos (x)

Beliebte Beispiele

integral of x/((x+3))

\int \frac{x}{( x + 3 )} d x

(\partial)/(\partial y)(4x^2y)

\frac{\partial}{\partial y} (4 x^{2} y)

derivative f(x)= 2/((x-1)^3)

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

integral of 1/(sqrt(x)(x+\sqrt{x))}

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

integral of (3x-1)(sqrt(x)+1)

\int (3 x - 1) (x + 1) d x