derivative 5e^xtan(x)

Lösung

ableitung von

5 e^{x} tan (x)

5 (e^{x} tan (x) + sec^{2} (x) e^{x})

Schritte zur Lösung

\frac{d}{d x} (5 e^{x} tan (x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} (e^{x} tan (x))

Wende die Produktregel an:

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

f = e^{x}, g = tan (x)

= 5 (\frac{d}{d x} (e^{x}) tan (x) + \frac{d}{d x} (tan (x)) e^{x})

\frac{d}{d x} (e^{x}) = e^{x}

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

= 5 (e^{x} tan (x) + sec^{2} (x) e^{x})

\int \frac{4 x ^{2} + 3 x - 1}{x ^{3} - x ^{2}} d x

\frac{\partial}{\partial y} (\frac{y}{x + z})

\int \frac{2 x + 1}{x + 1} d x

t an g e n t f (x) = \frac{3}{x ^{2}}

\frac{\partial}{\partial x} (\frac{( a + c x )}{c + b})