dérivée de 43^{sqrt(x)}

Solution

\frac{d}{d x} (4 3^{x})

\frac{ln ( 43 ) \cdot 4 3 ^{x}}{2 x}

étapes des solutions

\frac{d}{d x} (4 3^{x})

Appliquer la règle de l'exposant:

a^{b} = e^{b l n (a)}

4 3^{x} = e^{x l n (43)}

= \frac{d}{d x} (e^{x l n (43)})

Appliquer la règle de la chaine:

e^{x l n (43)} \frac{d}{d x} (x ln (43))

= e^{x l n (43)} \frac{d}{d x} (x ln (43))

\frac{d}{d x} (x ln (43)) = \frac{ln ( 43 )}{2 x}

= e^{x l n (43)} \frac{ln ( 43 )}{2 x}

Simplifier

e^{x l n (43)} \frac{ln ( 43 )}{2 x} : \frac{ln ( 43 ) \cdot 4 3 ^{x}}{2 x}

= \frac{ln ( 43 ) \cdot 4 3 ^{x}}{2 x}

n = 1 \sum \infty \frac{2 ^{- n}}{n}

\frac{d}{d x} (a x + e^{a x})

\int 28 x^{3} - 18 x^{2} + 8 x d x

\int 5 e^{8 x} d x

(cos (x))^{^{'}}