derivative (3t+4)*sin(pi(t/3-0.5))

Lösung

ableitung von

(3 t + 4) \cdot sin (π (\frac{t}{3} - 0.5))

cos (π (0.33333 \dots t - 0.5)) \cdot 1.04719 \dots (3 t + 4) + 3 sin (π (0.33333 \dots t - 0.5))

Schritte zur Lösung

\frac{d}{d t} ((3 t + 4) sin (π (\frac{t}{3} - 0.5)))

Vereinfache

(3 t + 4) sin (π (\frac{t}{3} - 0.5)) : sin (π (0.33333 \dots t - 0.5)) (3 t + 4)

= \frac{d}{d t} (sin (π (0.33333 \dots t - 0.5)) (3 t + 4))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = sin (π (0.33333 \dots t - 0.5)), g = 3 t + 4

= \frac{d}{d t} (sin (π (0.33333 \dots t - 0.5))) (3 t + 4) + \frac{d}{d t} (3 t + 4) sin (π (0.33333 \dots t - 0.5))

\frac{d}{d t} (sin (π (0.33333 \dots t - 0.5))) = cos (π (0.33333 \dots t - 0.5)) \cdot 1.04719 \dots

\frac{d}{d t} (3 t + 4) = 3

= cos (π (0.33333 \dots t - 0.5)) \cdot 1.04719 \dots (3 t + 4) + 3 sin (π (0.33333 \dots t - 0.5))

y^{^{''}} - y^{^{'}} - 12 y = - 5, y (0) = 0, y^{^{'}} (0) = 0

x \to 2 - lim (\frac{x}{2 - x})

\int \frac{x ^{2}}{289 - x ^{2}} d x

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

s l o p e (0.4) (2)