What is (\partial)/(\partial x)(sqrt(10x+8y)) ?

The answer to (\partial)/(\partial x)(sqrt(10x+8y)) is 5/(sqrt(10x+8y))

Popular >

(\partial)/(\partial x)(sqrt(10x+8y))

\frac{\partial}{\partial x} (10 x + 8 y)

\frac{5}{10 x + 8 y}

Solution steps

\frac{\partial}{\partial x} (10 x + 8 y)

Treat

y

as a constant

Apply the chain rule:

\frac{1}{2 10 x + 8 y} \frac{\partial}{\partial x} (10 x + 8 y)

= \frac{1}{2 10 x + 8 y} \frac{\partial}{\partial x} (10 x + 8 y)

\frac{\partial}{\partial x} (10 x + 8 y) = 10

= \frac{1}{2 10 x + 8 y} \cdot 10

Simplify

\frac{1}{2 10 x + 8 y} \cdot 10 : \frac{5}{10 x + 8 y}

= \frac{5}{10 x + 8 y}

\frac{\partial}{\partial y} (\frac{x y + 3 x ^{2}}{1 + y})

\int cos (2 x) e^{s i n (2 x)} d x

y = x^{3} - 3 x + 1, (2, 3)

\frac{d}{d x} (\frac{3 x - 10}{7 x + 13})

f (x) = - \frac{4}{3} x^{- \frac{5}{2}}

What is (\partial)/(\partial x)(sqrt(10x+8y)) ?
The answer to (\partial)/(\partial x)(sqrt(10x+8y)) is 5/(sqrt(10x+8y))