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Popular >

d/(dt)((x)(7t-7ln(t)))

Solution

\frac{d}{d t} ((x) (7 t - 7 ln (t)))

Solution

\frac{d x}{d t} (7 t - 7 ln (t)) + (7 - \frac{7}{t}) x

Solution steps

\frac{d}{d t} ((x) (7 t - 7 ln (t)))

Apply the Product Rule:

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

f = x, g = 7 t - 7 ln (t)

= \frac{d x}{d t} (7 t - 7 ln (t)) + \frac{d}{d t} (7 t - 7 ln (t)) x

\frac{d}{d t} (7 t - 7 ln (t)) = 7 - \frac{7}{t}

= \frac{d x}{d t} (7 t - 7 ln (t)) + (7 - \frac{7}{t}) x

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Frequently Asked Questions (FAQ)

What is the d/(dt)((x)(7t-7ln(t))) ?
The d/(dt)((x)(7t-7ln(t))) is (dx)/(dt)(7t-7ln(t))+(7-7/t)x
What is the first d/(dt)((x)(7t-7ln(t))) ?
The first d/(dt)((x)(7t-7ln(t))) is (dx)/(dt)(7t-7ln(t))+(7-7/t)x