What is the derivative of-(32)/((t)^3)+4/((t)^2) ?

The derivative of-(32)/((t)^3)+4/((t)^2) is (96)/(t^4)-8/(t^3)

What is the first derivative of-(32)/((t)^3)+4/((t)^2) ?

The first derivative of-(32)/((t)^3)+4/((t)^2) is (96)/(t^4)-8/(t^3)

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derivative of

- \frac{32}{( t ) ^{3}} + \frac{4}{( t ) ^{2}}

\frac{96}{t ^{4}} - \frac{8}{t ^{3}}

Solution steps

\frac{d}{d t} (- \frac{32}{t ^{3}} + \frac{4}{t ^{2}})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d t} (\frac{32}{t ^{3}}) + \frac{d}{d t} (\frac{4}{t ^{2}})

\frac{d}{d t} (\frac{32}{t ^{3}}) = - \frac{96}{t ^{4}}

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

= - (- \frac{96}{t ^{4}}) - \frac{8}{t ^{3}}

Simplify

= \frac{96}{t ^{4}} - \frac{8}{t ^{3}}

\frac{\partial}{\partial x} (2 x y^{3} + 4)

\frac{d y}{d x} = \frac{y + 2 x y}{x}

f (x) = r^{2} - 10 x^{2}

e^{- 2 x}, x \geq 3

\int \frac{5}{21 x ^{2} - 2 x - 8} d x

What is the derivative of-(32)/((t)^3)+4/((t)^2) ?
The derivative of-(32)/((t)^3)+4/((t)^2) is (96)/(t^4)-8/(t^3)
What is the first derivative of-(32)/((t)^3)+4/((t)^2) ?
The first derivative of-(32)/((t)^3)+4/((t)^2) is (96)/(t^4)-8/(t^3)