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

Lösung

ableitung von

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

- 5 sin (2 x)

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} (cos^{2} (x))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (cos (x)) = - sin (x)

= 5 \cdot 2 cos (x) (- sin (x))

Vereinfache

5 \cdot 2 cos (x) (- sin (x)) : - 5 sin (2 x)

= - 5 sin (2 x)

x \to 4 lim (\frac{x + 4}{x - 3})

\int (\frac{3 - 7 x + 9 x ^{2} e ^{7 x}}{x ^{2}}) d x

\int_{0}^{5} 100 - 10 t d t

n or ma l f (x) = - \frac{761}{12} x^{4} + \frac{2089}{3} x^{3} - \frac{31015}{12} x^{2} + \frac{11432}{3} x - 1833, at x = 5.35

\int \frac{5 x ^{2} - 3 x + 18}{9 x - x ^{3}} d x