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Beliebt Rechnen >

derivative of-x^4+sqrt(x)

Lösung

\frac{d}{d x} (- x^{4} + x)

Lösung

- 4 x^{3} + \frac{1}{2 x}

Schritte zur Lösung

\frac{d}{d x} (- x^{4} + x)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (x^{4}) + \frac{d}{d x} (x)

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

\frac{d}{d x} (x) = \frac{1}{2 x}

= - 4 x^{3} + \frac{1}{2 x}

Graph

Beliebte Beispiele

(xdy)/(dx)-(1+x)y=xy^2

\frac{x d y}{d x} - (1 + x) y = x y^{2}

integral of (3-1/x)^{-2}(1/(x^2))

\int (3 - \frac{1}{x})^{- 2} (\frac{1}{x ^{2}}) d x

integral of (x^3)/((5-x^4)^5)

\int \frac{x ^{3}}{( 5 - x ^{4} ) ^{5}} d x

tangent y=4(x-1/x)^3,\at x=2

t an g e n t y = 4 (x - \frac{1}{x})^{3}, at x = 2

integral of 1/((x-1)sqrt(4x^2-8x+3))

\int \frac{1}{( x - 1 ) 4 x ^{2} - 8 x + 3} d x