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Beliebt Rechnen >

derivative y(θ)=(sin(θ))/5+c/θ

Lösung

ableitung von

y (θ) = \frac{sin ( θ )}{5} + \frac{c}{θ}

Lösung

\frac{1}{5} cos (θ) - \frac{c}{θ ^{2}}

Schritte zur Lösung

\frac{d}{d θ} (\frac{sin ( θ )}{5} + \frac{c}{θ})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d θ} (\frac{sin ( θ )}{5}) + \frac{d}{d θ} (\frac{c}{θ})

\frac{d}{d θ} (\frac{sin ( θ )}{5}) = \frac{1}{5} cos (θ)

\frac{d}{d θ} (\frac{c}{θ}) = - \frac{c}{θ ^{2}}

= \frac{1}{5} cos (θ) - \frac{c}{θ ^{2}}

Graph

Beliebte Beispiele

integral of ((x-1)/x)^2

\int (\frac{x - 1}{x})^{2} d x

derivative of 3(cos(x)^2)

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

sum from n=1 to infinity of 1/(2^n+1)

n = 1 \sum \infty \frac{1}{2 ^{n} + 1}

derivative of 1/(e^{x^2})

\frac{d}{d x} (\frac{1}{e ^{x^{2}}})

integral of 1/(sqrt(x^2-144))

\int \frac{1}{x ^{2} - 144} d x