derivative of-(cos^2(x+cos^2(y))2)

Lösung

\frac{d}{d x} (- (cos^{2} (x) + cos^{2} (y)) 2)

- 2 (- sin (2 x) - 2 cos (y) sin (y) \frac{d y}{d x})

Schritte zur Lösung

\frac{d}{d x} (- (cos^{2} (x) + cos^{2} (y)) \cdot 2)

Entferne die Konstante:

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

= - 2 \frac{d}{d x} (cos^{2} (x) + cos^{2} (y))

Wende die Summen-/Differenzregel an:

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

= - 2 (\frac{d}{d x} (cos^{2} (x)) + \frac{d}{d x} (cos^{2} (y)))

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

\frac{d}{d x} (cos^{2} (y)) = - 2 cos (y) sin (y) \frac{d y}{d x}

= - 2 (- sin (2 x) - 2 cos (y) sin (y) \frac{d y}{d x})

d er i v a t i v e \frac{2}{x ^{- 5}}

d er i v a t i v e e^{0.5} t

d er i v a t i v e \frac{1}{( x ^{2} + a ^{2} ) ^{n - 1}}

d er i v a t i v e x^{4} - x - 10

d er i v a t i v e \frac{1}{x ^{2} + b}