What is (\partial)/(\partial x)((y)(5x+7z)) ?

The answer to (\partial)/(\partial x)((y)(5x+7z)) is 5y

Popular >

(\partial)/(\partial x)((y)(5x+7z))

\frac{\partial}{\partial x} ((y) (5 x + 7 z))

5 y

Solution steps

\frac{\partial}{\partial x} ((y) (5 x + 7 z))

Treat

y, z

as constants

Take the constant out:

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

= y \frac{\partial}{\partial x} (5 x + 7 z)

Apply the Sum/Difference Rule:

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

= y (\frac{\partial}{\partial x} (5 x) + \frac{\partial}{\partial x} (7 z))

\frac{\partial}{\partial x} (5 x) = 5

\frac{\partial}{\partial x} (7 z) = 0

= y (5 + 0)

Simplify

= 5 y

(4 x^{2} - 2 x + 1)^{7}

\frac{5 x - 1}{2 x - 3}

x^{2} + y^{2} - 5 - (y + x y) \frac{d y}{d x}

(x - 3) (x + i) (x + 2 i)

\frac{( x ^{2} + 1 )}{( x ( x ^{2} + 2 ) )}

What is (\partial)/(\partial x)((y)(5x+7z)) ?
The answer to (\partial)/(\partial x)((y)(5x+7z)) is 5y