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Beliebt Rechnen >

derivative sec^7(x)

Lösung

ableitung von

sec^{7} (x)

Lösung

7 sec^{7} (x) tan (x)

Schritte zur Lösung

\frac{d}{d x} (sec^{7} (x))

Wende die Kettenregel an:

7 (sec (x))^{6} \frac{d}{d x} (sec (x))

= 7 (sec (x))^{6} \frac{d}{d x} (sec (x))

\frac{d}{d x} (sec (x)) = sec (x) tan (x)

= 7 (sec (x))^{6} sec (x) tan (x)

Vereinfache

7 sec^{6} (x) sec (x) tan (x) : 7 sec^{7} (x) tan (x)

= 7 sec^{7} (x) tan (x)

Graph

Beliebte Beispiele

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

derivative of \sqrt[3]{x+3}

\frac{d}{d x} (3 x + 3)

(\partial)/(\partial x)(2e^{4xy})

\frac{\partial}{\partial x} (2 e^{4 x y})

(\partial)/(\partial x)(ln((x^2+y^2)^2))

\frac{\partial}{\partial x} (ln ((x^{2} + y^{2})^{2}))

derivative (30)/((1-x)^4)

d er i v a t i v e \frac{30}{( 1 - x ) ^{4}}