What is (\partial)/(\partial x)(26y^2sqrt(x)) ?

The answer to (\partial)/(\partial x)(26y^2sqrt(x)) is (13y^2)/(sqrt(x))

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(\partial)/(\partial x)(26y^2sqrt(x))

\frac{\partial}{\partial x} (26 y^{2} x)

\frac{13 y ^{2}}{x}

Solution steps

\frac{\partial}{\partial x} (26 y^{2} x)

Treat

y

as a constant

Take the constant out:

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

= 26 y^{2} \frac{\partial}{\partial x} (x)

Apply radical rule:

a = a^{\frac{1}{2}}

= 26 y^{2} \frac{\partial}{\partial x} (x^{\frac{1}{2}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 26 y^{2} \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

26 y^{2} \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{13 y ^{2}}{x}

= \frac{13 y ^{2}}{x}

\int \frac{e ^{t}}{1 - e ^{2 t}} d t

n = 0 \sum \infty (- 1)^{n} (n + 1)

\int x e^{(- x)} d x

f (x) = e^{l n (x)} - e^{5 l n (x^{2})}

What is (\partial)/(\partial x)(26y^2sqrt(x)) ?
The answer to (\partial)/(\partial x)(26y^2sqrt(x)) is (13y^2)/(sqrt(x))