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

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

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

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

4 s t^{2}

Solution steps

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

Treat

t

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 4 s t^{2}

\frac{d}{d x} (\frac{x}{11} - \frac{11}{x})

\frac{d}{d x} (2 x + \frac{1}{ln ( x ^{2} + e ) + 1} - 4)

\frac{x}{4} arcsin (x)

\frac{\partial}{\partial x} (\frac{1}{2 x ^{2}})

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