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Beliebt Rechnen >

d/(dy)((y^3)/(21)+7/(4y))

Lösung

\frac{d}{d y} (\frac{y ^{3}}{21} + \frac{7}{4 y})

Lösung

\frac{y ^{2}}{7} - \frac{7}{4 y ^{2}}

Schritte zur Lösung

\frac{d}{d y} (\frac{y ^{3}}{21} + \frac{7}{4 y})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d y} (\frac{y ^{3}}{21}) + \frac{d}{d y} (\frac{7}{4 y})

\frac{d}{d y} (\frac{y ^{3}}{21}) = \frac{y ^{2}}{7}

\frac{d}{d y} (\frac{7}{4 y}) = - \frac{7}{4 y ^{2}}

= \frac{y ^{2}}{7} - \frac{7}{4 y ^{2}}

Graph

Beliebte Beispiele

derivative f(x)=8x+ln(x^2)

d er i v a t i v e f (x) = 8 x + ln (x^{2})

integral of (5x^3+6)^4x^2

\int (5 x^{3} + 6)^{4} x^{2} d x

y^'-y=5te^{2t},y(0)=1

y^{^{'}} - y = 5 t e^{2 t}, y (0) = 1

sum from n=0 to infinity of (1.075)^n

n = 0 \sum \infty (1.075)^{n}

fläche y=x+1,(0,2)

a re a y = x + 1, (0, 2)