derivative of sin((5x^2+8^8))

Lösung

\frac{d}{d x} (sin ((5 x^{2} + 8)^{8}))

cos ((5 x^{2} + 8)^{8}) \cdot 80 x (5 x^{2} + 8)^{7}

Schritte zur Lösung

\frac{d}{d x} (sin ((5 x^{2} + 8)^{8}))

Wende die Kettenregel an:

cos ((5 x^{2} + 8)^{8}) \frac{d}{d x} ((5 x^{2} + 8)^{8})

= cos ((5 x^{2} + 8)^{8}) \frac{d}{d x} ((5 x^{2} + 8)^{8})

\frac{d}{d x} ((5 x^{2} + 8)^{8}) = 80 x (5 x^{2} + 8)^{7}

= cos ((5 x^{2} + 8)^{8}) \cdot 80 x (5 x^{2} + 8)^{7}

d er i v a t i v e 2 t^{2} - t

\frac{d}{d x} (x - in x)

l a pl a ce t r an s f or m t e^{- 0.003 t} cos (10 t)

\int_{0}^{1} \frac{1}{( x + 1 ) ( x ^{2} + 1 )} d x

t an g e n t f (x) = x^{4} + 8 x^{3} + 2 x + 2, at x = 1