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Popular >

d/(dt)((s)(6t^5-8t+5))

Solution

\frac{d}{d t} ((s) (6 t^{5} - 8 t + 5))

Solution

s (30 t^{4} - 8)

Solution steps

\frac{d}{d t} ((s) (6 t^{5} - 8 t + 5))

Take the constant out:

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

= s \frac{d}{d t} (6 t^{5} - 8 t + 5)

Apply the Sum/Difference Rule:

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

= s (\frac{d}{d t} (6 t^{5}) - \frac{d}{d t} (8 t) + \frac{d}{d t} (5))

\frac{d}{d t} (6 t^{5}) = 30 t^{4}

\frac{d}{d t} (8 t) = 8

\frac{d}{d t} (5) = 0

= s (30 t^{4} - 8 + 0)

Simplify

= s (30 t^{4} - 8)

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Frequently Asked Questions (FAQ)

What is the d/(dt)((s)(6t^5-8t+5)) ?
The d/(dt)((s)(6t^5-8t+5)) is s(30t^4-8)
What is the first d/(dt)((s)(6t^5-8t+5)) ?
The first d/(dt)((s)(6t^5-8t+5)) is s(30t^4-8)