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Beliebt Rechnen >

derivative f(x)=tan^2(x^3)

Lösung

ableitung von

f (x) = tan^{2} (x^{3})

Lösung

6 x^{2} sec^{2} (x^{3}) tan (x^{3})

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= 2 tan (x^{3}) \frac{d}{d x} (tan (x^{3}))

\frac{d}{d x} (tan (x^{3})) = sec^{2} (x^{3}) \cdot 3 x^{2}

= 2 tan (x^{3}) sec^{2} (x^{3}) \cdot 3 x^{2}

Vereinfache

= 6 x^{2} sec^{2} (x^{3}) tan (x^{3})

Graph

Beliebte Beispiele

integral of ln(21t)

\int ln (21 t) d t

tangent f(x)=2x^3+3x^2-12x+4,\at x=0

t an g e n t f (x) = 2 x^{3} + 3 x^{2} - 12 x + 4, at x = 0

(\partial)/(\partial x)(1/((x-y)))

\frac{\partial}{\partial x} (\frac{1}{( x - y )})

integral of e^{x+9e^x}

\int e^{x + 9 e^{x}} d x

fläche y=2x^{1/3},0<= x<= 32

a re a y = 2 x^{\frac{1}{3}}, 0 \leq x \leq 32