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Beliebt Rechnen >

derivative of tan(5x^4)

Lösung

\frac{d}{d x} (tan (5 x^{4}))

Lösung

sec^{2} (5 x^{4}) \cdot 20 x^{3}

Schritte zur Lösung

\frac{d}{d x} (tan (5 x^{4}))

Wende die Kettenregel an:

sec^{2} (5 x^{4}) \frac{d}{d x} (5 x^{4})

= sec^{2} (5 x^{4}) \frac{d}{d x} (5 x^{4})

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

= sec^{2} (5 x^{4}) \cdot 20 x^{3}

Graph

Beliebte Beispiele

integral of (sin(θ))/(cos^3(θ))

\int \frac{sin ( θ )}{cos ^{3} ( θ )} d θ

derivative of (3x^2-2^3)

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

(dy)/(dx)=6x(x-3)

\frac{d y}{d x} = 6 x (x - 3)

integral of (x+2)/((x^2+4x)^2)

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

tangent sqrt(9-4x),\at x=-1

t an g e n t 9 - 4 x, at x = - 1