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Popular >

d/(d{x)}(a(a-{x})(a-{y})(a-{z}))

Solution

\frac{d}{d x} (a (a - x) (a - y) (a - z))

Solution

- a (a - y) (a - z)

Solution steps

\frac{d}{d x} (a (a - x) (a - y) (a - z))

Take the constant out:

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

= a (a - y) (a - z) \frac{d}{d x} (a - x)

Apply the Sum/Difference Rule:

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

= a (a - y) (a - z) (\frac{d}{d x} (a) - \frac{d}{d x} (x))

\frac{d}{d x} (a) = 0

\frac{d}{d x} (x) = 1

= a (a - y) (a - z) (0 - 1)

Simplify

= - a (a - y) (a - z)

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\frac{d}{d x} ((\frac{3 x - 4}{5 x + 2})^{- 5})

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Frequently Asked Questions (FAQ)

What is the d/(d{x)}(a(a-{x})(a-{y})(a-{z})) ?
The d/(d{x)}(a(a-{x})(a-{y})(a-{z})) is -a(a-{y})(a-{z})
What is the first d/(d{x)}(a(a-{x})(a-{y})(a-{z})) ?
The first d/(d{x)}(a(a-{x})(a-{y})(a-{z})) is -a(a-{y})(a-{z})