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Beliebt Rechnen >

derivative of 7sin(2x+3tan(x-1))

Lösung

\frac{d}{d x} (7 sin (2 x) + 3 tan (x - 1))

Lösung

14 cos (2 x) + 3 sec^{2} (x - 1)

Schritte zur Lösung

\frac{d}{d x} (7 sin (2 x) + 3 tan (x - 1))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (7 sin (2 x)) + \frac{d}{d x} (3 tan (x - 1))

\frac{d}{d x} (7 sin (2 x)) = 14 cos (2 x)

\frac{d}{d x} (3 tan (x - 1)) = 3 sec^{2} (x - 1)

= 14 cos (2 x) + 3 sec^{2} (x - 1)

Graph

Beliebte Beispiele

integral of 1/((x^2-2x+5)^{3/2)}

\int \frac{1}{( x ^{2} - 2 x + 5 ) ^{\frac{3}{2}}} d x

tangent y=(x^3-2)(x^2-3x+1),(2,-6)

t an g e n t y = (x^{3} - 2) (x^{2} - 3 x + 1), (2, - 6)

\frac{d x}{d t} = 7 x

steigung 4x+3x^2

s l o p e 4 x + 3 x^{2}

maclaurin (1-x^2)^{-1/2}

ma c l a u r in (1 - x^{2})^{- \frac{1}{2}}