What is (\partial)/(\partial x)(xsqrt(1+y^5)) ?

The answer to (\partial)/(\partial x)(xsqrt(1+y^5)) is sqrt(1+y^5)

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(\partial)/(\partial x)(xsqrt(1+y^5))

\frac{\partial}{\partial x} (x 1 + y^{5})

1 + y^{5}

Solution steps

\frac{\partial}{\partial x} (x 1 + y^{5})

Treat

y

as a constant

Take the constant out:

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

= 1 + y^{5} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= 1 + y^{5} \cdot 1

Simplify

= 1 + y^{5}

(50, 5119), (80, 7219)

\int e^{2 x} \cdot cos (3 x) d x

\frac{\partial}{\partial x} ((1 - x)^{\frac{1}{2}})

\frac{\partial}{\partial x} (4 y^{3} sin (6 x))

\frac{d y}{d x} = - x^{4} - 4 x^{3} + 5 x^{2}

What is (\partial)/(\partial x)(xsqrt(1+y^5)) ?
The answer to (\partial)/(\partial x)(xsqrt(1+y^5)) is sqrt(1+y^5)