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

Lösung

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

\frac{\partial}{\partial x} (\frac{2}{2 x - y})

\int_{1}^{\infty} \frac{1}{x ^{2} + 5} d x

l a pl a ce t r an s f or m 5^{t}

t an g e n t f (x) = x + 3, at x = 1

\frac{d}{d x} (\frac{ln ( x ^{5} )}{ln ( x ^{4} )})