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Beliebt Rechnen >

derivative f(x)=sin(x^2+2)

Lösung

ableitung von

f (x) = sin (x^{2} + 2)

Lösung

cos (x^{2} + 2) \cdot 2 x

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

(d^2)/(dx^2)(e^{2x^2})

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

implicit (dy)/(dx),e^{9x}=sin(x+8y)

im pl i c i t \frac{d y}{d x}, e^{9 x} = sin (x + 8 y)

limit as x approaches 8-of (|x-8|)/(x-8)

x \to 8 - lim (\frac{∣ x - 8 ∣}{x - 8})

implicit (dy)/(dx),9x=y^2

im pl i c i t \frac{d y}{d x}, 9 x = y^{2}

integral of x*e^{3*x}

\int x \cdot e^{3 \cdot x} d x