derivative f(x)=sqrt(4x^2-5x)

Lösung

ableitung von

f (x) = 4 x^{2} - 5 x

\frac{8 x - 5}{2 4 x ^{2} - 5 x}

Schritte zur Lösung

\frac{d}{d x} (4 x^{2} - 5 x)

Wende die Kettenregel an:

\frac{1}{2 4 x ^{2} - 5 x} \frac{d}{d x} (4 x^{2} - 5 x)

= \frac{1}{2 4 x ^{2} - 5 x} \frac{d}{d x} (4 x^{2} - 5 x)

\frac{d}{d x} (4 x^{2} - 5 x) = 8 x - 5

= \frac{1}{2 4 x ^{2} - 5 x} (8 x - 5)

Vereinfache

\frac{1}{2 4 x ^{2} - 5 x} (8 x - 5) : \frac{8 x - 5}{2 4 x ^{2} - 5 x}

= \frac{8 x - 5}{2 4 x ^{2} - 5 x}

\frac{\partial}{\partial z} (cos (x z))

n = 1 \sum \infty \frac{n}{2 n ^{3} + 1}

t an g e n t \frac{2}{x}, at x = \frac{1}{9}

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

\frac{d y}{d x} = e^{c s c (6 x) t a n (6 x)}