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Beliebt Rechnen >

derivative of x^5tan(x)

Lösung

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

Lösung

5 x^{4} tan (x) + sec^{2} (x) x^{5}

Schritte zur Lösung

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{5}, g = tan (x)

= \frac{d}{d x} (x^{5}) tan (x) + \frac{d}{d x} (tan (x)) x^{5}

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

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

= 5 x^{4} tan (x) + sec^{2} (x) x^{5}

Graph

Beliebte Beispiele

t^2y^{''}+3ty^'-24y=0

t^{2} y^{^{''}} + 3 t y^{^{'}} - 24 y = 0

integral from 0 to 1 of 4/(x^2+1)

\int_{0}^{1} \frac{4}{x ^{2} + 1} d x

integral of e^{sin(y)}

\int e^{s i n (y)} d y

integral of (t^3-1)/(2t-2)

\int \frac{t ^{3} - 1}{2 t - 2} d t

derivative 5x^4(3x-7)

d er i v a t i v e 5 x^{4} (3 x - 7)