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Beliebt Rechnen >

(\partial)/(\partial x)(5cos(5x))

Lösung

\frac{\partial}{\partial x} (5 cos (5 x))

Lösung

- 25 sin (5 x)

Schritte zur Lösung

\frac{\partial}{\partial x} (5 cos (5 x))

Entferne die Konstante:

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

= 5 \frac{\partial}{\partial x} (cos (5 x))

Wende die Kettenregel an:

- sin (5 x) \frac{\partial}{\partial x} (5 x)

= - sin (5 x) \frac{\partial}{\partial x} (5 x)

\frac{\partial}{\partial x} (5 x) = 5

= 5 (- sin (5 x) \cdot 5)

Vereinfache

= - 25 sin (5 x)

Beliebte Beispiele

integral of t+1

\int t + 1 d t

implicit (dy)/(dx),x^{(2/3)}+y^{(2/3)}=10

im pl i c i t \frac{d y}{d x}, x^{(\frac{2}{3})} + y^{(\frac{2}{3})} = 10

derivative Y(θ)=cot^2(cos(θ))

d er i v a t i v e Y (θ) = cot^{2} (cos (θ))

derivative f(t)=6t-5t^2

d er i v a t i v e f (t) = 6 t - 5 t^{2}

derivative of (x^3+6e^x)

\frac{d}{d x} ((x^{3} + 6) e^{x})