What is (\partial)/(\partial x)(30y^2sqrt(x)) ?

The answer to (\partial)/(\partial x)(30y^2sqrt(x)) is (15y^2)/(sqrt(x))

Popular >

(\partial)/(\partial x)(30y^2sqrt(x))

\frac{\partial}{\partial x} (30 y^{2} x)

\frac{15 y ^{2}}{x}

Solution steps

\frac{\partial}{\partial x} (30 y^{2} x)

Treat

y

as a constant

Take the constant out:

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

= 30 y^{2} \frac{\partial}{\partial x} (x)

Apply radical rule:

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

= 30 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}

= 30 y^{2} \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

30 y^{2} \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{15 y ^{2}}{x}

= \frac{15 y ^{2}}{x}

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

\int_{8}^{16} 256 - x^{2} d x

\int_{- π}^{π} sin (2 x) d x

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

\frac{\partial}{\partial x} (\frac{2 x y}{x - y})

What is (\partial)/(\partial x)(30y^2sqrt(x)) ?
The answer to (\partial)/(\partial x)(30y^2sqrt(x)) is (15y^2)/(sqrt(x))