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Beliebt Rechnen >

derivative of acos^3(x)

Lösung

\frac{d}{d x} (a cos^{3} (x))

Lösung

- 3 a cos^{2} (x) sin (x)

Schritte zur Lösung

\frac{d}{d x} (a cos^{3} (x))

Entferne die Konstante:

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

= a \frac{d}{d x} (cos^{3} (x))

Wende die Kettenregel an:

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

= 3 (cos (x))^{2} \frac{d}{d x} (cos (x))

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

= a \cdot 3 (cos (x))^{2} (- sin (x))

Vereinfache

= - 3 a cos^{2} (x) sin (x)

Graph

Beliebte Beispiele

derivative y=x^2ln(3x)

d er i v a t i v e y = x^{2} ln (3 x)

y^'=((1-y)^2)/(x+1),y(0)=5

y^{^{'}} = \frac{( 1 - y ) ^{2}}{x + 1}, y (0) = 5

derivative of ln(ln(sec(x)))

\frac{d}{d x} (ln (ln (sec (x))))

sum from n=1 to infinity of 1-7/(4^n)

n = 1 \sum \infty 1 - \frac{7}{4 ^{n}}

(\partial)/(\partial x)(8-x^2-y^2)

\frac{\partial}{\partial x} (8 - x^{2} - y^{2})