What is (\partial)/(\partial x)(xsqrt(1+y^3)) ?

The answer to (\partial)/(\partial x)(xsqrt(1+y^3)) is sqrt(1+y^3)

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(\partial)/(\partial x)(xsqrt(1+y^3))

\frac{\partial}{\partial x} (x 1 + y^{3})

1 + y^{3}

Solution steps

\frac{\partial}{\partial x} (x 1 + y^{3})

Treat

y

as a constant

Take the constant out:

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

= 1 + y^{3} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= 1 + y^{3} \cdot 1

Simplify

= 1 + y^{3}

x \to 1 lim ((2 - \frac{2}{x})^{2})

3 x^{2} - 1, at x = - 2

y = \frac{x ^{2} + 2}{x + 8}, (3, 1)

\int 2 e^{3 x - 5} d x

x \to π lim (tan (\frac{5 x}{3}))

What is (\partial)/(\partial x)(xsqrt(1+y^3)) ?
The answer to (\partial)/(\partial x)(xsqrt(1+y^3)) is sqrt(1+y^3)