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

Lösung

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

cot (x) - sin (2 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (ln (sin (x))) = cot (x)

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

= cot (x) - sin (2 x)

n = 0 \sum \infty \frac{1}{2 ^{n} + 3 ^{n}}

\int cos (2 n x) d x

9 (t + 1) \frac{d y}{d t} - 7 y = 14 t

\frac{\partial}{\partial x} (- 5 x^{2} + 7 y^{5} x)

d er i v a t i v e h (x) = tan (4 x^{2} - 3 x - 4)