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

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

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

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

- 2 s t^{2}

Solution steps

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

Treat

t

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= - 2 s t^{2}

\frac{d}{d x} (cot (x) sec (x))

\frac{d}{d t} (s cos (t))

\frac{d y}{d x}, x^{y} = y^{x}

x \to 2 lim ((x - 2)^{2})

y = cos^{3} (4 x^{6} + 10)

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