de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 3sqrt(x)-4x^3+2^x-e+7

Lösung

\frac{d}{d x} (3 x - 4 x^{3} + 2^{x} - e + 7)

Lösung

- 12 x^{2} + ln (2) \cdot 2^{x} + \frac{3}{2 x}

Schritte zur Lösung

\frac{d}{d x} (3 x - 4 x^{3} + 2^{x} - e + 7)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x) - \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (2^{x}) - \frac{d e}{d x} + \frac{d}{d x} (7)

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

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

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

\frac{d e}{d x} = 0

\frac{d}{d x} (7) = 0

= \frac{3}{2 x} - 12 x^{2} + 2^{x} ln (2) - 0 + 0

Vereinfache

= - 12 x^{2} + ln (2) \cdot 2^{x} + \frac{3}{2 x}

Graph

Beliebte Beispiele

tangent y=sqrt(1+x^3),(2,3)

t an g e n t y = 1 + x^{3}, (2, 3)

integral of 1/((x-2)ln(x-2))

\int \frac{1}{( x - 2 ) ln ( x - 2 )} d x

integral of (16x^3-3x^2+2)

\int (16 x^{3} - 3 x^{2} + 2) d x

limit as x approaches 2 of (\sqrt[3]{x^2+4}-\sqrt[4]{x^2+6x})/(x^2-4)

x \to 2 lim (\frac{3 x ^{2} + 4 - 4 x ^{2} + 6 x}{x ^{2} - 4})

integral of (cos(x))/(sqrt(3+sin(x)))

\int \frac{cos ( x )}{3 + sin ( x )} d x