What is (\partial)/(\partial y)((x)(1+2xsqrt(y))) ?

The answer to (\partial)/(\partial y)((x)(1+2xsqrt(y))) is (x^2)/(sqrt(y))

Popular >

(\partial)/(\partial y)((x)(1+2xsqrt(y)))

\frac{\partial}{\partial y} ((x) (1 + 2 x y))

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

Solution steps

\frac{\partial}{\partial y} ((x) (1 + 2 x y))

Treat

x

as a constant

Take the constant out:

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

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

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial y} (1) = 0

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

= x (0 + \frac{x}{y})

Simplify

x (0 + \frac{x}{y}) : \frac{x ^{2}}{y}

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

(k - \frac{1}{3})^{3}

A (- 5, 2) B (3, - 1)

\frac{3 ( 27 - 2 x ^{3} )}{( 27 + x ^{3} ) ^{2}}

x (2 x + 1)

(2 x^{3} + 2)^{4} \cdot cos^{3} (x)

What is (\partial)/(\partial y)((x)(1+2xsqrt(y))) ?
The answer to (\partial)/(\partial y)((x)(1+2xsqrt(y))) is (x^2)/(sqrt(y))