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Beliebt Rechnen >

derivative tan^2(5θ)

Lösung

ableitung von

tan^{2} (5 θ)

Lösung

10 sec^{2} (5 θ) tan (5 θ)

Schritte zur Lösung

\frac{d}{d θ} (tan^{2} (5 θ))

Wende die Kettenregel an:

2 tan (5 θ) \frac{d}{d θ} (tan (5 θ))

= 2 tan (5 θ) \frac{d}{d θ} (tan (5 θ))

\frac{d}{d θ} (tan (5 θ)) = sec^{2} (5 θ) \cdot 5

= 2 tan (5 θ) sec^{2} (5 θ) \cdot 5

Vereinfache

= 10 sec^{2} (5 θ) tan (5 θ)

Graph

Beliebte Beispiele

sum from n=1 to infinity of 5(-1)^nnx^n

n = 1 \sum \infty 5 (- 1)^{n} n x^{n}

laplacetransform e^{-4}

l a pl a ce t r an s f or m e^{- 4}

derivative of (sin(x^2+1)^{1/({f)(x)}})

\frac{d}{d x} ((sin (x^{2}) + 1)^{\frac{1}{f ( x )}})

integral of x^2sqrt(x^2+1)

\int x^{2} x^{2} + 1 d x

normal-x^3+2x^2-2,\at x=1

n or ma l - x^{3} + 2 x^{2} - 2, at x = 1