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Popular >

d/(dt)((s)(ln(t)+4t))

Solution

\frac{d}{d t} ((s) (ln (t) + 4 t))

Solution

s (\frac{1}{t} + 4)

Solution steps

\frac{d}{d t} ((s) (ln (t) + 4 t))

Take the constant out:

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

= s \frac{d}{d t} (ln (t) + 4 t)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= s (\frac{d}{d t} (ln (t)) + \frac{d}{d t} (4 t))

\frac{d}{d t} (ln (t)) = \frac{1}{t}

\frac{d}{d t} (4 t) = 4

= s (\frac{1}{t} + 4)

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Frequently Asked Questions (FAQ)

What is the d/(dt)((s)(ln(t)+4t)) ?
The d/(dt)((s)(ln(t)+4t)) is s(1/t+4)
What is the first d/(dt)((s)(ln(t)+4t)) ?
The first d/(dt)((s)(ln(t)+4t)) is s(1/t+4)