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

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

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

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

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

- t sin (t)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= - t sin (t)

(t^{3})^{^{'}}

\frac{d}{d x} ((\frac{x ^{3} - 1}{x ^{3} + 1})^{8})

f (x) = 1 + sin (x), at x = π

f (x) = x^{3} - 74 x^{2} + 40 x + 27490

f (x) = sin^{3} (3 x)

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