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Beliebt Rechnen >

(\partial)/(\partial x)((x^4+x-y)^7)

Lösung

\frac{\partial}{\partial x} ((x^{4} + x - y)^{7})

Lösung

7 (x^{4} + x - y)^{6} (4 x^{3} + 1)

Schritte zur Lösung

\frac{\partial}{\partial x} ((x^{4} + x - y)^{7})

Behandle

y

als Konstante

Wende die Kettenregel an:

7 (x^{4} + x - y)^{6} \frac{\partial}{\partial x} (x^{4} + x - y)

= 7 (x^{4} + x - y)^{6} \frac{\partial}{\partial x} (x^{4} + x - y)

\frac{\partial}{\partial x} (x^{4} + x - y) = 4 x^{3} + 1

= 7 (x^{4} + x - y)^{6} (4 x^{3} + 1)

Beliebte Beispiele

integral of ln(3x+2)

\int ln (3 x + 2) d x

derivative sin^7(x)

d er i v a t i v e sin^{7} (x)

integral of-2+12x-12x^2

\int - 2 + 12 x - 12 x^{2} d x

integral of (e^{8x})/(e^{8x)+4}

\int \frac{e ^{8 x}}{e ^{8 x} + 4} d x

tangent f(x)=x^2+3x-1,\at x=0

t an g e n t f (x) = x^{2} + 3 x - 1, at x = 0