derivative of sqrt(cos^2(x-sin^2(x)))

Lösung

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

\frac{1}{2 cos ^{2} ( x ) - sin ^{2} ( x )} (- sin (2 x) \cdot 2)

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 cos ^{2} ( x ) - sin ^{2} ( x )} \frac{d}{d x} (cos^{2} (x) - sin^{2} (x))

= \frac{1}{2 cos ^{2} ( x ) - sin ^{2} ( x )} \frac{d}{d x} (cos^{2} (x) - sin^{2} (x))

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

= \frac{1}{2 cos ^{2} ( x ) - sin ^{2} ( x )} (- sin (2 x) \cdot 2)

\int \frac{1}{( x + 1 ) ^{3} ( x + 2 )} d x

d er i v a t i v e f (x) = (2 x - 2)^{4} (x^{2} + x + 1)^{5}

\frac{\partial}{\partial x} (5 y e^{x})

t an g e n t y = 6 x, (1, 6)

\int sin (x + 7) d x