What is (\partial)/(\partial x)((z)(7x+8y^2)) ?

The answer to (\partial)/(\partial x)((z)(7x+8y^2)) is 7z

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(\partial)/(\partial x)((z)(7x+8y^2))

\frac{\partial}{\partial x} ((z) (7 x + 8 y^{2}))

7 z

Solution steps

\frac{\partial}{\partial x} ((z) (7 x + 8 y^{2}))

Treat

z, y

as constants

Take the constant out:

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

= z \frac{\partial}{\partial x} (7 x + 8 y^{2})

Apply the Sum/Difference Rule:

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

= z (\frac{\partial}{\partial x} (7 x) + \frac{\partial}{\partial x} (8 y^{2}))

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

\frac{\partial}{\partial x} (8 y^{2}) = 0

= z (7 + 0)

Simplify

= 7 z

\frac{d}{d y} ((x) (1 + 7 x)^{8})

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

A (- 1, 2) B (- 3, - 6)

3 (3 - 5)

\frac{1}{s ( s + a )}

What is (\partial)/(\partial x)((z)(7x+8y^2)) ?
The answer to (\partial)/(\partial x)((z)(7x+8y^2)) is 7z