What is the d/(dt)((x)(80cos(x)+20)) ?

The d/(dt)((x)(80cos(x)+20)) is 80cos(t)+20-80tsin(t)

What is the first d/(dt)((x)(80cos(x)+20)) ?

The first d/(dt)((x)(80cos(x)+20)) is 80cos(t)+20-80tsin(t)

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\frac{d}{d t} ((t) (80 cos (t) + 20))

80 cos (t) + 20 - 80 t sin (t)

Solution steps

\frac{d}{d t} ((t) (80 cos (t) + 20))

Apply the Product Rule:

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

f = t, g = 80 cos (t) + 20

= \frac{d t}{d t} (80 cos (t) + 20) + \frac{d}{d t} (80 cos (t) + 20) t

\frac{d t}{d t} = 1

\frac{d}{d t} (80 cos (t) + 20) = - 80 sin (t)

= 1 \cdot (80 cos (t) + 20) + (- 80 sin (t)) t

Simplify

= 80 cos (t) + 20 - 80 t sin (t)

3 (2 x - (3 x + 1) = x + 1)

(\frac{2 ( i - 1 )}{2})^{2}

\frac{π}{3} (25 - y^{2}) (y + 5)

\frac{4 x + 7}{( 6 x + 3 ) ( x - 6 )}

3 x - 3 \cdot \frac{3}{4}

What is the d/(dt)((x)(80cos(x)+20)) ?
The d/(dt)((x)(80cos(x)+20)) is 80cos(t)+20-80tsin(t)
What is the first d/(dt)((x)(80cos(x)+20)) ?
The first d/(dt)((x)(80cos(x)+20)) is 80cos(t)+20-80tsin(t)