derivative of sin^2(x+cos(x))

Lösung

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

sin (2 x) - sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= sin (2 x) - sin (x)

y = 5^{- x}

y = x 4 - x^{2}

f (x) = 4 x - 3

f (z) = \frac{1}{z}

f (t) = t + 1