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Popular >

d/(dt)((q(t))(76-25t))

Solution

\frac{d}{d t} ((q (t)) (76 - 25 t))

Solution

q (76 - 50 t)

Solution steps

\frac{d}{d t} ((q (t)) (76 - 25 t))

Treat

q

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= q \frac{d}{d t} (t (76 - 25 t))

Apply the Product Rule:

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

f = t, g = 76 - 25 t

= q (\frac{d t}{d t} (76 - 25 t) + \frac{d}{d t} (76 - 25 t) t)

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

\frac{d}{d t} (76 - 25 t) = - 25

= q (1 \cdot (76 - 25 t) + (- 25) t)

Simplify

= q (76 - 50 t)

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expand (x-1)(derivative of 1)expand

(x - 1) (\frac{d}{d x} (1))

Frequently Asked Questions (FAQ)

What is the d/(dt)((q(t))(76-25t)) ?
The d/(dt)((q(t))(76-25t)) is q(76-50t)
What is the first d/(dt)((q(t))(76-25t)) ?
The first d/(dt)((q(t))(76-25t)) is q(76-50t)