What is (\partial)/(\partial u)(u+vw) ?

The answer to (\partial)/(\partial u)(u+vw) is 1

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(\partial)/(\partial u)(u+vw)

\frac{\partial}{\partial u} (u + v w)

1

Solution steps

\frac{\partial}{\partial u} (u + v w)

Treat

v, w

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial u} (u) + \frac{\partial}{\partial u} (v w)

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

\frac{\partial}{\partial u} (v w) = 0

= 1 + 0

Simplify

= 1

\int cos^{7} (x) \cdot sin^{3} (x) d x

\int \frac{( y + 1 )}{( y - 1 )} d y

\int 6 x^{5} - 18 x^{2} + 7 d x

d x = x x^{2} - 16 d y

x \to 20 lim (10)

What is (\partial)/(\partial u)(u+vw) ?
The answer to (\partial)/(\partial u)(u+vw) is 1