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

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

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

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

2 s t

Solution steps

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

Treat

s

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 s t

y = 3 x^{2} + \frac{8 x}{3} - 2

\int \frac{900}{( 2 x - 5 ) ^{2}} d x

\int \frac{1}{x ^{2} x ^{2} - 6} d x

\int_{0}^{3} (2 e^{x}) d x

f (x) = \frac{x + 2}{10 - 3 x}

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