What is the derivative of x(29-2x)(16-2x) ?

The derivative of x(29-2x)(16-2x) is 12x^2-180x+464

What is the first derivative of x(29-2x)(16-2x) ?

The first derivative of x(29-2x)(16-2x) is 12x^2-180x+464

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derivative of

x (29 - 2 x) (16 - 2 x)

12 x^{2} - 180 x + 464

Solution steps

\frac{d}{d x} (x (29 - 2 x) (16 - 2 x))

Apply the Product Rule:

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

f = x, g = (29 - 2 x) (16 - 2 x)

= \frac{d x}{d x} (29 - 2 x) (16 - 2 x) + \frac{d}{d x} ((29 - 2 x) (16 - 2 x)) x

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

\frac{d}{d x} ((29 - 2 x) (16 - 2 x)) = 8 x - 90

= 1 \cdot (29 - 2 x) (16 - 2 x) + (8 x - 90) x

Simplify

1 \cdot (29 - 2 x) (16 - 2 x) + (8 x - 90) x : 12 x^{2} - 180 x + 464

= 12 x^{2} - 180 x + 464

lo g_{7} (x)

ln (x + 2), - 1

2 x y^{^{'}} - y = 3 x^{2}

\int 9 tan (x) sec (3) (x) d x

\int_{- 1}^{1} \frac{4}{1 + x ^{2}} d x

What is the derivative of x(29-2x)(16-2x) ?
The derivative of x(29-2x)(16-2x) is 12x^2-180x+464
What is the first derivative of x(29-2x)(16-2x) ?
The first derivative of x(29-2x)(16-2x) is 12x^2-180x+464