What is (\partial)/(\partial s)(-5s^2t) ?

The answer to (\partial)/(\partial s)(-5s^2t) is -10st

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(\partial)/(\partial s)(-5s^2t)

\frac{\partial}{\partial s} (- 5 s^{2} t)

- 10 s t

Solution steps

\frac{\partial}{\partial s} (- 5 s^{2} t)

Treat

t

as a constant

Take the constant out:

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

= - 5 t \frac{\partial}{\partial s} (s^{2})

Apply the Power Rule:

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

= - 5 t \cdot 2 s^{2 - 1}

Simplify

= - 10 s t

What is (\partial)/(\partial s)(-5s^2t) ?
The answer to (\partial)/(\partial s)(-5s^2t) is -10st