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Popular >

d/(dt)((x)(t^2+6))

Solution

\frac{d}{d t} ((x) (t^{2} + 6))

Solution

\frac{d x}{d t} (t^{2} + 6) + 2 t x

Solution steps

\frac{d}{d t} ((x) (t^{2} + 6))

Apply the Product Rule:

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

f = x, g = t^{2} + 6

= \frac{d x}{d t} (t^{2} + 6) + \frac{d}{d t} (t^{2} + 6) x

\frac{d}{d t} (t^{2} + 6) = 2 t

= \frac{d x}{d t} (t^{2} + 6) + 2 t x

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Frequently Asked Questions (FAQ)

What is the d/(dt)((x)(t^2+6)) ?
The d/(dt)((x)(t^2+6)) is (dx)/(dt)(t^2+6)+2tx
What is the first d/(dt)((x)(t^2+6)) ?
The first d/(dt)((x)(t^2+6)) is (dx)/(dt)(t^2+6)+2tx