What is (\partial)/(\partial t)(rsin(t)sin(x)) ?

The answer to (\partial)/(\partial t)(rsin(t)sin(x)) is rsin(x)cos(t)

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(\partial)/(\partial t)(rsin(t)sin(x))

\frac{\partial}{\partial t} (r sin (t) sin (x))

r sin (x) cos (t)

Solution steps

\frac{\partial}{\partial t} (r sin (t) sin (x))

Treat

r, x

as constants

Take the constant out:

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

= r sin (x) \frac{\partial}{\partial t} (sin (t))

Apply the common derivative:

\frac{\partial}{\partial t} (sin (t)) = cos (t)

= r sin (x) cos (t)

What is (\partial)/(\partial t)(rsin(t)sin(x)) ?
The answer to (\partial)/(\partial t)(rsin(t)sin(x)) is rsin(x)cos(t)