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Beliebt Rechnen >

derivative of f(4x^5)=8x^4

Lösung

\frac{d}{d x} (f (4 x^{5})) = 8 x^{4}

Lösung

f (x) = \frac{2}{5} + \frac{c _{1}}{4 x ^{5}}

Schritte zur Lösung

\frac{d}{d x} (f (x) (4 x^{5})) = 8 x^{4}

Wenn

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

dann

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

f (x) \cdot 4 x^{5} = \int 8 x^{4} d x

\int 8 x^{4} d x = \frac{8 x ^{5}}{5} + c_{1}

f (x) \cdot 4 x^{5} = \frac{8 x ^{5}}{5} + c_{1}

Isoliere

f (x) : f (x) = \frac{2}{5} + \frac{c _{1}}{4 x ^{5}}

f (x) = \frac{2}{5} + \frac{c _{1}}{4 x ^{5}}

Graph

Beliebte Beispiele

derivative cos(6t)

d er i v a t i v e cos (6 t)

derivative ((2x+7))/(sqrt(x))

d er i v a t i v e \frac{( 2 x + 7 )}{x}

3y^{''}+3y^'-y=0

3 y^{^{''}} + 3 y^{^{'}} - y = 0

tangent x^3y^2=xy^3+6,(2,1)

t an g e n t x^{3} y^{2} = x y^{3} + 6, (2, 1)

derivative y=5x+ln(3x)

d er i v a t i v e y = 5 x + ln (3 x)