What is (\partial)/(\partial r)(r*cos(t)) ?

The answer to (\partial)/(\partial r)(r*cos(t)) is cos(t)

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(\partial)/(\partial r)(r*cos(t))

\frac{\partial}{\partial r} (r \cdot cos (t))

cos (t)

Solution steps

\frac{\partial}{\partial r} (r cos (t))

Treat

t

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial r} (r) = 1

= cos (t) \cdot 1

Simplify

= cos (t)

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What is (\partial)/(\partial r)(r*cos(t)) ?
The answer to (\partial)/(\partial r)(r*cos(t)) is cos(t)