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Popular >

d/(dt)((x)(sin(t)-tcos(t)))

Solution

\frac{d}{d t} ((x) (sin (t) - t cos (t)))

Solution

\frac{d x}{d t} (sin (t) - t cos (t)) + t sin (t) x

Solution steps

\frac{d}{d t} ((x) (sin (t) - t cos (t)))

Apply the Product Rule:

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

f = x, g = sin (t) - t cos (t)

= \frac{d x}{d t} (sin (t) - t cos (t)) + \frac{d}{d t} (sin (t) - t cos (t)) x

\frac{d}{d t} (sin (t) - t cos (t)) = t sin (t)

= \frac{d x}{d t} (sin (t) - t cos (t)) + t sin (t) x

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\frac{1}{r ( r + 2 )}

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Frequently Asked Questions (FAQ)

What is the d/(dt)((x)(sin(t)-tcos(t))) ?
The d/(dt)((x)(sin(t)-tcos(t))) is (dx)/(dt)(sin(t)-tcos(t))+tsin(t)x
What is the first d/(dt)((x)(sin(t)-tcos(t))) ?
The first d/(dt)((x)(sin(t)-tcos(t))) is (dx)/(dt)(sin(t)-tcos(t))+tsin(t)x