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Popular >

d/(dt)((x)(2cos(t)+2))

Solution

\frac{d}{d t} ((x) (2 cos (t) + 2))

Solution

\frac{d x}{d t} (2 cos (t) + 2) - 2 sin (t) x

Solution steps

\frac{d}{d t} ((x) (2 cos (t) + 2))

Apply the Product Rule:

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

f = x, g = 2 cos (t) + 2

= \frac{d x}{d t} (2 cos (t) + 2) + \frac{d}{d t} (2 cos (t) + 2) x

\frac{d}{d t} (2 cos (t) + 2) = - 2 sin (t)

= \frac{d x}{d t} (2 cos (t) + 2) + (- 2 sin (t)) x

Simplify

= \frac{d x}{d t} (2 cos (t) + 2) - 2 sin (t) x

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Frequently Asked Questions (FAQ)

What is the d/(dt)((x)(2cos(t)+2)) ?
The d/(dt)((x)(2cos(t)+2)) is (dx)/(dt)(2cos(t)+2)-2sin(t)x
What is the first d/(dt)((x)(2cos(t)+2)) ?
The first d/(dt)((x)(2cos(t)+2)) is (dx)/(dt)(2cos(t)+2)-2sin(t)x