What is the derivative of sin(t)-tcos(t) ?

The derivative of sin(t)-tcos(t) is tsin(t)

What is the first derivative of sin(t)-tcos(t) ?

The first derivative of sin(t)-tcos(t) is tsin(t)

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derivative of

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)

\frac{d y}{d x}, y = x^{4}

ln (x + 5 + x^{2})

\frac{d}{d x} (\frac{- 4}{x})

x (7 x + 1)^{\frac{1}{3}}

5 x^{3} - 5 x

What is the derivative of sin(t)-tcos(t) ?
The derivative of sin(t)-tcos(t) is tsin(t)
What is the first derivative of sin(t)-tcos(t) ?
The first derivative of sin(t)-tcos(t) is tsin(t)