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Beliebt Rechnen >

derivative of (x^2+sin(x)^3)

Lösung

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

Lösung

3 (x^{2} + sin (x))^{2} (2 x + cos (x))

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= 3 (x^{2} + sin (x))^{2} \frac{d}{d x} (x^{2} + sin (x))

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

= 3 (x^{2} + sin (x))^{2} (2 x + cos (x))

Graph

Beliebte Beispiele

integral from-1 to 1 of x^3-x

\int_{- 1}^{1} x^{3} - x d x

laplacetransform 1e^{4t}

l a pl a ce t r an s f or m 1 e^{4 t}

integral of (x^2)/((x^3+2)^2)

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

tangent (6x)/(x+7),\at x=1

t an g e n t \frac{6 x}{x + 7}, at x = 1

(\partial)/(\partial y)(xe^{y/x})

\frac{\partial}{\partial y} (x e^{\frac{y}{x}})