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Beliebt Rechnen >

derivative y=sin(9x)+cos(2x)

Lösung

ableitung von

y = sin (9 x) + cos (2 x)

Lösung

cos (9 x) \cdot 9 - sin (2 x) \cdot 2

Schritte zur Lösung

\frac{d}{d x} (sin (9 x) + cos (2 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (9 x)) + \frac{d}{d x} (cos (2 x))

\frac{d}{d x} (sin (9 x)) = cos (9 x) \cdot 9

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

= cos (9 x) \cdot 9 - sin (2 x) \cdot 2

Graph

Beliebte Beispiele

derivative of 3arcsin(x/2)

\frac{d}{d x} (3 arcsin (\frac{x}{2}))

integral of 2sin(3x)

\int 2 sin (3 x) d x

y^{'''}-y^'=sin(x)

y^{^{'''}} - y^{^{'}} = sin (x)

(dy)/(dx)=((2x(y-1)))/(x^2+3)

\frac{d y}{d x} = \frac{( 2 x ( y - 1 ) )}{x ^{2} + 3}

integral of 1/(x^2sqrt(16+x^2))

\int \frac{1}{x ^{2} 16 + x ^{2}} d x