What is the d/(dt)(sin(t)-tcos(t)) ?

The d/(dt)(sin(t)-tcos(t)) is tsin(t)

What is the first d/(dt)(sin(t)-tcos(t)) ?

The first d/(dt)(sin(t)-tcos(t)) is tsin(t)

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

t sin (t)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= cos (t) - (cos (t) - t sin (t))

Simplify

= t sin (t)

9 x^{2} y^{2} + x^{\frac{3}{2}} \frac{d y}{d x} = y^{2}

\frac{x}{x ^{- 1} + 7}

\int \frac{w ^{3}}{w + 1} d w

\frac{d}{d x} (19 arctan (x))

ln (\frac{6 x ^{2} + 5}{x ^{\frac{4}{5}}})

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