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Beliebt Rechnen >

derivative of (sqrt(x)+c^2)

Lösung

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

Lösung

\frac{x + c}{x}

Schritte zur Lösung

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

Wende die Kettenregel an:

2 (x + c) \frac{d}{d x} (x + c)

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

\frac{d}{d x} (x + c) = \frac{1}{2 x}

= 2 (x + c) \frac{1}{2 x}

Vereinfache

2 (x + c) \frac{1}{2 x} : \frac{x + c}{x}

= \frac{x + c}{x}

Graph

Beliebte Beispiele

y^'=((1+x))/(xy^4),y(1)=3

y^{^{'}} = \frac{( 1 + x )}{x y ^{4}}, y (1) = 3

derivative of-2x-y^2cos(xy^2-1)

\frac{d}{d x} (- 2 x - y^{2} cos (x y^{2}) - 1)

integral of (4x+1)/(4x^2+2x+3)

\int \frac{4 x + 1}{4 x ^{2} + 2 x + 3} d x

2t*(dy)/(dt)+5y=sqrt(t)

2 t \cdot \frac{d y}{d t} + 5 y = t

derivative y=(8x)/(e^x)

d er i v a t i v e y = \frac{8 x}{e ^{x}}