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

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

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

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

r sin (t) cos (x)

Solution steps

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

Treat

r, t

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= r sin (t) cos (x)

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