What is the derivative of f(t)=-(50)/(t^3)+5/(t^2) ?

The derivative of f(t)=-(50)/(t^3)+5/(t^2) is (150)/(t^4)-(10)/(t^3)

What is the first derivative of f(t)=-(50)/(t^3)+5/(t^2) ?

The first derivative of f(t)=-(50)/(t^3)+5/(t^2) is (150)/(t^4)-(10)/(t^3)

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derivative of

f (t) = - \frac{50}{t ^{3}} + \frac{5}{t ^{2}}

\frac{150}{t ^{4}} - \frac{10}{t ^{3}}

Solution steps

\frac{d}{d t} (- \frac{50}{t ^{3}} + \frac{5}{t ^{2}})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d t} (\frac{50}{t ^{3}}) + \frac{d}{d t} (\frac{5}{t ^{2}})

\frac{d}{d t} (\frac{50}{t ^{3}}) = - \frac{150}{t ^{4}}

\frac{d}{d t} (\frac{5}{t ^{2}}) = - \frac{10}{t ^{3}}

= - (- \frac{150}{t ^{4}}) - \frac{10}{t ^{3}}

Simplify

= \frac{150}{t ^{4}} - \frac{10}{t ^{3}}

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What is the derivative of f(t)=-(50)/(t^3)+5/(t^2) ?
The derivative of f(t)=-(50)/(t^3)+5/(t^2) is (150)/(t^4)-(10)/(t^3)
What is the first derivative of f(t)=-(50)/(t^3)+5/(t^2) ?
The first derivative of f(t)=-(50)/(t^3)+5/(t^2) is (150)/(t^4)-(10)/(t^3)