What is the d/(dt)(({v}(t))/t) ?

The d/(dt)(({v}(t))/t) is (t d/(dt)({v}(t))-{v}(t))/(t^2)

What is the first d/(dt)(({v}(t))/t) ?

The first d/(dt)(({v}(t))/t) is (t d/(dt)({v}(t))-{v}(t))/(t^2)

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\frac{d}{d t} (\frac{v ( t )}{t})

\frac{t \frac{d}{d t} ( v ( t ) ) - v ( t )}{t ^{2}}

Solution steps

\frac{d}{d t} (\frac{v ( t )}{t})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

\frac{d t}{d t} = 1

= \frac{\frac{d}{d t} ( v ( t ) ) t - 1 \cdot v ( t )}{t ^{2}}

Simplify

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

cos^{3} (sin (2 x^{4} - x))

y = x^{2} - 7, y = 9

\int e^{- in wt} d t

\frac{d}{d x} (- 3 \cdot e^{x^{2} + x - 1})

\frac{\partial}{\partial x} (- ln (1 + e^{- x}))

What is the d/(dt)(({v}(t))/t) ?
The d/(dt)(({v}(t))/t) is (t d/(dt)({v}(t))-{v}(t))/(t^2)
What is the first d/(dt)(({v}(t))/t) ?
The first d/(dt)(({v}(t))/t) is (t d/(dt)({v}(t))-{v}(t))/(t^2)