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

\int (- x^{2} y^{2} sin (x) + 2 x y^{2} cos (x)) d x

\int \frac{e ^{\frac{1}{x ^{7}}}}{x ^{8}} d x

\frac{d}{d x} ((1 - x^{2})^{\frac{3}{2}})

\frac{d}{d x} (- 2 x^{- 3} \cdot ln (x + x^{- 1}))

x \to - 9 lim (\frac{x ^{2} - 7}{9 - x})

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