What is (\partial)/(\partial t)(s^2t^2) ?

The answer to (\partial)/(\partial t)(s^2t^2) is 2s^2t

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(\partial)/(\partial t)(s^2t^2)

\frac{\partial}{\partial t} (s^{2} t^{2})

2 s^{2} t

Solution steps

\frac{\partial}{\partial t} (s^{2} t^{2})

Treat

s

as a constant

Take the constant out:

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

= s^{2} \frac{\partial}{\partial t} (t^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= s^{2} \cdot 2 t^{2 - 1}

Simplify

= 2 s^{2} t

\int (1 + 2 x)^{2} d x

\frac{- 3 x - 2}{2 x ^{2} + x + 3}

\frac{d}{d x} (\frac{e ^{x}}{x ^{3}})

\frac{\partial}{\partial y} (- 2 x e^{x y})

y^{^{'}} = (x - 14)^{2}

What is (\partial)/(\partial t)(s^2t^2) ?
The answer to (\partial)/(\partial t)(s^2t^2) is 2s^2t