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Beliebt Rechnen >

derivative of 12+5sin(pix)

Lösung

\frac{d}{d x} (12 + 5 sin (π x))

Lösung

5 π cos (π x)

Schritte zur Lösung

\frac{d}{d x} (12 + 5 sin (π x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (12) + \frac{d}{d x} (5 sin (π x))

\frac{d}{d x} (12) = 0

\frac{d}{d x} (5 sin (π x)) = 5 cos (π x) π

= 0 + 5 cos (π x) π

Vereinfache

= 5 π cos (π x)

Graph

Beliebte Beispiele

derivative f(x)=((x-2)(3+5x))/(x^2+1)

d er i v a t i v e f (x) = \frac{( x - 2 ) ( 3 + 5 x )}{x ^{2} + 1}

integral of 4/(e^{2x)}

\int \frac{4}{e ^{2 x}} d x

integral of ((1-3x))/((3+2x))

\int \frac{( 1 - 3 x )}{( 3 + 2 x )} d x

(y^'+y^2)/(x^2)=0

\frac{y ^{^{'}} + y ^{2}}{x ^{2}} = 0

d/(dM)(M^2(C/2-M/3))

\frac{d}{d M} (M^{2} (\frac{C}{2} - \frac{M}{3}))