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

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

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

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

4 s

Solution steps

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

Treat

t

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial s} (2 s^{2}) = 4 s

\frac{\partial}{\partial s} (t^{2}) = 0

= 4 s + 0

Simplify

= 4 s

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