What is (\partial)/(\partial x)(x+iy) ?

The answer to (\partial)/(\partial x)(x+iy) is 1

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(\partial)/(\partial x)(x+iy)

\frac{\partial}{\partial x} (x + i y)

1

Solution steps

\frac{\partial}{\partial x} (x + i y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x) + \frac{\partial}{\partial x} (i y)

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

\frac{\partial}{\partial x} (i y) = 0

= 1 + 0

Simplify

= 1

\int \frac{( x - 1 )}{x ^{3} - x ^{2} - 2 x} d x

2 - x

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x \to 1 lim (sin (5 π x))

\int (3 t + 2)^{2.4} d t

What is (\partial)/(\partial x)(x+iy) ?
The answer to (\partial)/(\partial x)(x+iy) is 1