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Beliebt Rechnen >

derivative f(t)=e^{7t*sin(2t)}

Lösung

ableitung von

f (t) = e^{7 t \cdot s i n (2 t)}

Lösung

e^{7 t s i n (2 t)} \cdot 7 (sin (2 t) + 2 t cos (2 t))

Schritte zur Lösung

\frac{d}{d t} (e^{7 t s i n (2 t)})

Wende die Kettenregel an:

e^{7 t s i n (2 t)} \frac{d}{d t} (7 t sin (2 t))

= e^{7 t s i n (2 t)} \frac{d}{d t} (7 t sin (2 t))

\frac{d}{d t} (7 t sin (2 t)) = 7 (sin (2 t) + 2 t cos (2 t))

= e^{7 t s i n (2 t)} \cdot 7 (sin (2 t) + 2 t cos (2 t))

Graph

Beliebte Beispiele

x^2-1,-x+2,x=0,x=1

x^{2} - 1, - x + 2, x = 0, x = 1

y^{1/2}((dy)/(dx))+y^{3/2}=1

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

integral of tan^2(4x)sec^4(4x)

\int tan^{2} (4 x) sec^{4} (4 x) d x

integral from 0 to infinity of x/(x^2+1)

\int_{0}^{\infty} \frac{x}{x ^{2} + 1} d x

steigung (-1.4)(3.12)

s l o p e (- 1.4) (3.12)