derivative of (x^3-2tan(x))

Lösung

\frac{d}{d x} ((x^{3} - 2) tan (x))

3 x^{2} tan (x) + sec^{2} (x) (x^{3} - 2)

Schritte zur Lösung

\frac{d}{d x} ((x^{3} - 2) tan (x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{3} - 2, g = tan (x)

= \frac{d}{d x} (x^{3} - 2) tan (x) + \frac{d}{d x} (tan (x)) (x^{3} - 2)

\frac{d}{d x} (x^{3} - 2) = 3 x^{2}

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= 3 x^{2} tan (x) + sec^{2} (x) (x^{3} - 2)

\int (x^{6} e^{x^{7}}) d x

\int \frac{8 x + 12}{x \cdot ( x ^{2} + 4 )} d x

\frac{\partial}{\partial x} (x 1 + y^{3})

x \to 1 lim ((2 - \frac{2}{x})^{2})

t an g e n t 3 x^{2} - 1, at x = - 2