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Popular >

d/(dt)((q)0.04(700-q))

Solution

\frac{d}{d t} ((t) 0.04 (700 - t))

Solution

0.04 (700 - 2 t)

Solution steps

\frac{d}{d t} ((t) \cdot 0.04 (700 - t))

Take the constant out:

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

= 0.04 \frac{d}{d t} (t (700 - t))

Apply the Product Rule:

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

f = t, g = 700 - t

= 0.04 (\frac{d t}{d t} (700 - t) + \frac{d}{d t} (700 - t) t)

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

\frac{d}{d t} (700 - t) = - 1

= 0.04 (1 \cdot (700 - t) + (- 1) t)

Simplify

0.04 (1 \cdot (700 - t) + (- 1) t) : 0.04 (700 - 2 t)

= 0.04 (700 - 2 t)

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Frequently Asked Questions (FAQ)

What is the d/(dt)((q)0.04(700-q)) ?
The d/(dt)((q)0.04(700-q)) is 0.04(700-2t)
What is the first d/(dt)((q)0.04(700-q)) ?
The first d/(dt)((q)0.04(700-q)) is 0.04(700-2t)