derivative of x^{5/4}+e^{-3x}

Lösung

\frac{d}{d x} (x^{\frac{5}{4}} + e^{- 3 x})

\frac{5 x ^{\frac{1}{4}}}{4} - 3 e^{- 3 x}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{5}{4}} + e^{- 3 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{\frac{5}{4}}) + \frac{d}{d x} (e^{- 3 x})

\frac{d}{d x} (x^{\frac{5}{4}}) = \frac{5 x ^{\frac{1}{4}}}{4}

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

= \frac{5 x ^{\frac{1}{4}}}{4} - 3 e^{- 3 x}

x \to - 2 lim ([- 6]^{2})

y^{^{'}} = 9 x^{2} e^{- y}, y (0) = 1

\int 4 x (x - 2)^{3} d x

n = 1 \sum \infty \frac{n}{6 ^{n}}

x \to 0 lim (\frac{( 1 + x ) ^{9} - 1}{x})