de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of f(x)=(4x^{(4)}+6)^{(3)}

Lösung

\frac{d}{d x} f (x) = (4 x^{(4)} + 6)^{(3)}

Lösung

f (x) = \frac{64 x ^{13}}{13} + 32 x^{9} + \frac{432 x ^{5}}{5} + 216 x + c_{1}

Schritte zur Lösung

\frac{df}{d x} = (4 x^{(4)} + 6)^{(3)}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

f (x) = \int (4 x^{4} + 6)^{3} d x

\int (4 x^{4} + 6)^{3} d x = \frac{64 x ^{13}}{13} + 32 x^{9} + \frac{432 x ^{5}}{5} + 216 x + c_{1}

f (x) = \frac{64 x ^{13}}{13} + 32 x^{9} + \frac{432 x ^{5}}{5} + 216 x + c_{1}

Graph

Beliebte Beispiele

steigung g(x)=5x^2-x+7

s l o p e g (x) = 5 x^{2} - x + 7

derivative of (8+7x^4)

\frac{d}{d x} ((8 + 7 x)^{4})

2{dy}{dx}=(21x^2)/y

2 {d y} {d x} = \frac{21 x ^{2}}{y}

derivative of (x+ae^{2x}+b)

\frac{d}{d x} ((x + a) e^{2 x} + b)

integral of 7sqrt(16-2x)

\int 7 16 - 2 x d x