derivative of sin(x+1+5x)

Lösung

\frac{d}{d x} (sin (x + 1) + 5 x)

cos (x + 1) + 5

Schritte zur Lösung

\frac{d}{d x} (sin (x + 1) + 5 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (x + 1)) + \frac{d}{d x} (5 x)

\frac{d}{d x} (sin (x + 1)) = cos (x + 1)

\frac{d}{d x} (5 x) = 5

= cos (x + 1) + 5

\frac{d}{d y} (3 x e^{- \frac{1}{y ^{3}}})

x \to 0 lim (\frac{sin ( x ^{8} )}{x})

d er i v a t i v e tan (e^{7 t}) + e^{t a n (7 t)}

n = 0 \sum \infty 2 + e^{- 3 n}

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