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Popular >

d/(dt)(4/(t^2)-5/t-9/5)

Solution

\frac{d}{d t} (\frac{4}{t ^{2}} - \frac{5}{t} - \frac{9}{5})

Solution

\frac{5}{t ^{2}} - \frac{8}{t ^{3}}

Solution steps

\frac{d}{d t} (\frac{4}{t ^{2}} - \frac{5}{t} - \frac{9}{5})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (\frac{4}{t ^{2}}) - \frac{d}{d t} (\frac{5}{t}) - \frac{d}{d t} (\frac{9}{5})

\frac{d}{d t} (\frac{4}{t ^{2}}) = - \frac{8}{t ^{3}}

\frac{d}{d t} (\frac{5}{t}) = - \frac{5}{t ^{2}}

\frac{d}{d t} (\frac{9}{5}) = 0

= - \frac{8}{t ^{3}} - (- \frac{5}{t ^{2}}) - 0

Simplify

= \frac{5}{t ^{2}} - \frac{8}{t ^{3}}

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Frequently Asked Questions (FAQ)

What is the d/(dt)(4/(t^2)-5/t-9/5) ?
The d/(dt)(4/(t^2)-5/t-9/5) is 5/(t^2)-8/(t^3)
What is the first d/(dt)(4/(t^2)-5/t-9/5) ?
The first d/(dt)(4/(t^2)-5/t-9/5) is 5/(t^2)-8/(t^3)