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Beliebt Rechnen >

derivative of 4sin(x^2)

Lösung

\frac{d}{d x} (4 sin (x^{2}))

Lösung

8 x cos (x^{2})

Schritte zur Lösung

\frac{d}{d x} (4 sin (x^{2}))

Entferne die Konstante:

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

= 4 \frac{d}{d x} (sin (x^{2}))

Wende die Kettenregel an:

cos (x^{2}) \frac{d}{d x} (x^{2})

= cos (x^{2}) \frac{d}{d x} (x^{2})

\frac{d}{d x} (x^{2}) = 2 x

= 4 cos (x^{2}) \cdot 2 x

Vereinfache

= 8 x cos (x^{2})

Graph

Beliebte Beispiele

xy^'-2y=-2x^2+x+1

x y^{^{'}} - 2 y = - 2 x^{2} + x + 1

derivative of 3x+x^2-3x^3-x^4

\frac{d}{d x} (3 x + x^{2} - 3 x^{3} - x^{4})

derivative of sqrt(x)-10\sqrt[3]{x}

\frac{d}{d x} (x - 10 3 x)

(\partial)/(\partial x)(x^2+y^2-xy)

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

integral of 2e^x+8x^3+6x

\int 2 e^{x} + 8 x^{3} + 6 x d x