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Beliebt Rechnen >

(\partial)/(\partial y)(5y-e^{8sin(x)})

Lösung

\frac{\partial}{\partial y} (5 y - e^{8 s i n (x)})

Lösung

5

Schritte zur Lösung

\frac{\partial}{\partial y} (5 y - e^{8 s i n (x)})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (5 y) - \frac{\partial}{\partial y} (e^{8 s i n (x)})

\frac{\partial}{\partial y} (5 y) = 5

\frac{\partial}{\partial y} (e^{8 s i n (x)}) = 0

= 5 - 0

Vereinfache

= 5

Beliebte Beispiele

sum from n=6 to infinity of 1/(n^2-4)

n = 6 \sum \infty \frac{1}{n ^{2} - 4}

sum from n=1 to infinity of 1/(n^{-10)}

n = 1 \sum \infty \frac{1}{n ^{- 10}}

tangent y=x^2+x+3

t an g e n t y = x^{2} + x + 3

tangent 1/(sqrt(x)),\at x=9

t an g e n t \frac{1}{x}, at x = 9

derivative of x(x-1)

\frac{d}{d x} (x (x - 1))