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

The answer to (\partial)/(\partial t)(2s^2t^2) is 4s^2t

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

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

4 s^{2} t

Solution steps

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

Treat

s

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 4 s^{2} t

\int x^{2} 8 + x d x

\frac{d}{d x} (arccot (\frac{1}{2}) (x - \frac{1}{x}))

\int \frac{7}{9 + 4 x ^{2}} d x

\frac{d}{d x} (ln (\frac{x}{7}))

y^{^{''}} + 5 y^{^{'}} + 6 = 1

What is (\partial)/(\partial t)(2s^2t^2) ?
The answer to (\partial)/(\partial t)(2s^2t^2) is 4s^2t