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Beliebt Rechnen >

derivative of 5-2sin(x-e^x)

Lösung

\frac{d}{d x} (5 - 2 sin (x) - e^{x})

Lösung

- e^{x} - 2 cos (x)

Schritte zur Lösung

\frac{d}{d x} (5 - 2 sin (x) - e^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5) - \frac{d}{d x} (2 sin (x)) - \frac{d}{d x} (e^{x})

\frac{d}{d x} (5) = 0

\frac{d}{d x} (2 sin (x)) = 2 cos (x)

\frac{d}{d x} (e^{x}) = e^{x}

= 0 - 2 cos (x) - e^{x}

Vereinfache

= - e^{x} - 2 cos (x)

Graph

Beliebte Beispiele

integral of t/((3t^2+1)^4)

\int \frac{t}{( 3 t ^{2} + 1 ) ^{4}} d t

y^'+y=cos(t),y(0)=1

y^{^{'}} + y = cos (t), y (0) = 1

derivative y=log_{e}(log_{e}(x))

d er i v a t i v e y = lo g_{e} (lo g_{e} (x))

limit as h approaches 0 of ((h+2)^3-8)/h

h \to 0 lim (\frac{( h + 2 ) ^{3} - 8}{h})

integral of 1/y

\int \frac{1}{y} d y