What is the d/(dt)(cos(w_{0}*t)) ?

The d/(dt)(cos(w_{0}*t)) is -sin(w_{0}t)w_{0}

What is the first d/(dt)(cos(w_{0}*t)) ?

The first d/(dt)(cos(w_{0}*t)) is -sin(w_{0}t)w_{0}

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\frac{d}{d t} (cos (w_{0} \cdot t))

- sin (w_{0} t) w_{0}

Solution steps

\frac{d}{d t} (cos (w_{0} t))

Treat

w_{0}

as a constant

Apply the chain rule:

- sin (w_{0} t) \frac{d}{d t} (w_{0} t)

= - sin (w_{0} t) \frac{d}{d t} (w_{0} t)

\frac{d}{d t} (w_{0} t) = w_{0}

= - sin (w_{0} t) w_{0}

ln^{1} (+ x)

f (x) = 3 x^{2} - 2 x - 1

\frac{2}{sin ( x )}

\frac{d}{d a} (3 sin^{2} (a) - 2 cos^{2} (a))

\frac{500}{q}

What is the d/(dt)(cos(w_{0}*t)) ?
The d/(dt)(cos(w_{0}*t)) is -sin(w_{0}t)w_{0}
What is the first d/(dt)(cos(w_{0}*t)) ?
The first d/(dt)(cos(w_{0}*t)) is -sin(w_{0}t)w_{0}