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Beliebt Rechnen >

derivative of cos(x+ln(tan(x/2)))

Lösung

\frac{d}{d x} (cos (x) + ln (tan (\frac{x}{2})))

Lösung

cos (x) cot (x)

Schritte zur Lösung

\frac{d}{d x} (cos (x) + ln (tan (\frac{x}{2})))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (cos (x)) + \frac{d}{d x} (ln (tan (\frac{x}{2})))

\frac{d}{d x} (cos (x)) = - sin (x)

\frac{d}{d x} (ln (tan (\frac{x}{2}))) = csc (x)

= - sin (x) + csc (x)

Vereinfache

- sin (x) + csc (x) : cos (x) cot (x)

= cos (x) cot (x)

Graph

Beliebte Beispiele

d/(d{y)}(ln(sqrt({x)^2+{y}^2+{z}^2}))

\frac{d}{d y} (ln (x^{2} + y^{2} + z^{2}))

f(x)=sqrt(ln(2x+1))

f (x) = ln (2 x + 1)

tangent (x^2)/(x-8)

t an g e n t \frac{x ^{2}}{x - 8}

integral of x^2(x-8)^{13}

\int x^{2} (x - 8)^{13} d x

(\partial)/(\partial x)(xye^{xy})

\frac{\partial}{\partial x} (x y e^{x y})