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

Lösung

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

cos (x^{2} + sin (x^{2} + sin (x^{2}))) (2 x + cos (x^{2} + sin (x^{2})) (2 x + cos (x^{2}) \cdot 2 x))

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

\int 16 x^{2} d x

\frac{d}{d x} (x ∣ x ∣^{∣ x ∣ - 1} (ln ∣ x ∣ + 1))

t an g e n t f (x) = x^{3}, at = 0

x \to 4 + lim (c x^{2} + 3 x)

\int arccot (6 y) d y