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Beliebt Rechnen >

derivative of [x+(x+sin^2(x)^7]^4)

Lösung

\frac{d}{d x} ([x + (x + sin^{2} (x))^{7}]^{4})

Lösung

4 (x + (x + sin^{2} (x))^{7})^{3} (1 + 7 (x + sin^{2} (x))^{6} (1 + sin (2 x)))

Schritte zur Lösung

\frac{d}{d x} ((x + (x + sin^{2} (x))^{7})^{4})

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x + (x + sin^{2} (x))^{7}) = 1 + 7 (x + sin^{2} (x))^{6} (1 + sin (2 x))

= 4 (x + (x + sin^{2} (x))^{7})^{3} (1 + 7 (x + sin^{2} (x))^{6} (1 + sin (2 x)))

Graph

Beliebte Beispiele

(\partial)/(\partial x)(cos^3(x^3y^8))

\frac{\partial}{\partial x} (cos^{3} (x^{3} y^{8}))

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(1 + \frac{3}{y} + x) \frac{d y}{d x} + y = \frac{3}{x} - 1

integral of sin(4pix)

\int sin (4 π x) d x

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