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Beliebt Rechnen >

derivative f(x)=(5x-2)^2

Lösung

ableitung von

f (x) = (5 x - 2)^{2}

Lösung

10 (5 x - 2)

Schritte zur Lösung

\frac{d}{d x} ((5 x - 2)^{2})

Wende die Kettenregel an:

2 (5 x - 2) \frac{d}{d x} (5 x - 2)

= 2 (5 x - 2) \frac{d}{d x} (5 x - 2)

\frac{d}{d x} (5 x - 2) = 5

= 2 (5 x - 2) \cdot 5

Vereinfache

= 10 (5 x - 2)

Graph

Beliebte Beispiele

tangent y=x^2-3,(5,22)

t an g e n t y = x^{2} - 3, (5, 22)

integral of (x^5)/(e^{x^6)}

\int \frac{x ^{5}}{e ^{x^{6}}} d x

limit as x approaches 0 of (sin(3x))/(tan(10x))

x \to 0 lim (\frac{sin ( 3 x )}{tan ( 10 x )})

(d^2)/(dx^2)(x^{1/10})

\frac{d ^{2}}{d x ^{2}} (x^{\frac{1}{10}})

fläche y=2x+1,(1,5)

a re a y = 2 x + 1, (1, 5)