What is (\partial)/(\partial x)(2+3xsqrt(y)) ?

The answer to (\partial)/(\partial x)(2+3xsqrt(y)) is 3sqrt(y)

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(\partial)/(\partial x)(2+3xsqrt(y))

\frac{\partial}{\partial x} (2 + 3 x y)

3 y

Solution steps

\frac{\partial}{\partial x} (2 + 3 x y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2) + \frac{\partial}{\partial x} (3 x y)

\frac{\partial}{\partial x} (2) = 0

\frac{\partial}{\partial x} (3 x y) = 3 y

= 0 + 3 y

Simplify

= 3 y

n = 0 \sum \infty (4 x^{2})^{n}

x \to π lim (9 sin (sin (x)))

\int \frac{4}{x + 2} d x

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (0) = 3, y^{^{'}} (0) = 9

\int \frac{s}{( s ^{2} + 16 ) ^{2}} d s

What is (\partial)/(\partial x)(2+3xsqrt(y)) ?
The answer to (\partial)/(\partial x)(2+3xsqrt(y)) is 3sqrt(y)