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Popular >

d/(d{x)}(({z})({x}^2{y}+{x}{y}^2{z}))

Solution

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

Solution

z (2 x y + y^{2} z)

Solution steps

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

Take the constant out:

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

= z \frac{d}{d x} (x^{2} y + x y^{2} z)

Apply the Sum/Difference Rule:

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

= z (\frac{d}{d x} (x^{2} y) + \frac{d}{d x} (x y^{2} z))

\frac{d}{d x} (x^{2} y) = 2 x y

\frac{d}{d x} (x y^{2} z) = y^{2} z

= z (2 x y + y^{2} z)

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Frequently Asked Questions (FAQ)

What is the d/(d{x)}(({z})({x}^2{y}+{x}{y}^2{z})) ?
The d/(d{x)}(({z})({x}^2{y}+{x}{y}^2{z})) is {z}(2{x}{y}+{y}^2{z})
What is the first d/(d{x)}(({z})({x}^2{y}+{x}{y}^2{z})) ?
The first d/(d{x)}(({z})({x}^2{y}+{x}{y}^2{z})) is {z}(2{x}{y}+{y}^2{z})