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Popular >

derivative of ({z}(x)(6x-3x^2))

Solution

\frac{d}{d x} ((z (x)) (6 x - 3 x^{2}))

Solution

\frac{d}{d x} (z (x)) (6 x - 3 x^{2}) + (6 - 6 x) z (x)

Solution steps

\frac{d}{d x} ((z (x)) (6 x - 3 x^{2}))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = z (x), g = 6 x - 3 x^{2}

= \frac{d}{d x} (z (x)) (6 x - 3 x^{2}) + \frac{d}{d x} (6 x - 3 x^{2}) z (x)

\frac{d}{d x} (6 x - 3 x^{2}) = 6 - 6 x

= \frac{d}{d x} (z (x)) (6 x - 3 x^{2}) + (6 - 6 x) z (x)

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Frequently Asked Questions (FAQ)

What is the derivative of ({z}(x)(6x-3x^2)) ?
The derivative of ({z}(x)(6x-3x^2)) is derivative of {z}(x)(6x-3x^2)+(6-6x){z}(x)
What is the first derivative of ({z}(x)(6x-3x^2)) ?
The first derivative of ({z}(x)(6x-3x^2)) is derivative of {z}(x)(6x-3x^2)+(6-6x){z}(x)