de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 7^xln(x)

Lösung

\frac{d}{d x} (7^{x} ln (x))

Lösung

ln (7) \cdot 7^{x} ln (x) + \frac{7 ^{x}}{x}

Schritte zur Lösung

\frac{d}{d x} (7^{x} ln (x))

Wende die Produktregel an:

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

f = 7^{x}, g = ln (x)

= \frac{d}{d x} (7^{x}) ln (x) + \frac{d}{d x} (ln (x)) 7^{x}

\frac{d}{d x} (7^{x}) = 7^{x} ln (7)

\frac{d}{d x} (ln (x)) = \frac{1}{x}

= 7^{x} ln (7) ln (x) + \frac{1}{x} \cdot 7^{x}

\frac{1}{x} \cdot 7^{x} = \frac{7 ^{x}}{x}

= ln (7) \cdot 7^{x} ln (x) + \frac{7 ^{x}}{x}

Graph

Beliebte Beispiele

integral of (y-1)/(y^2)

\int \frac{y - 1}{y ^{2}} d y

integral of (1/((4+x^2)))

\int (\frac{1}{( 4 + x ^{2} )}) d x

integral of sqrt(9-4x)

\int 9 - 4 x d x

derivative arctan(cos(x))

d er i v a t i v e arctan (cos (x))

integral of (2x^2-24)/(x(x+2)^3)

\int \frac{2 x ^{2} - 24}{x ( x + 2 ) ^{3}} d x