What is the derivative of 3000(14-x)(x-5) ?

The derivative of 3000(14-x)(x-5) is 3000(-2x+19)

What is the first derivative of 3000(14-x)(x-5) ?

The first derivative of 3000(14-x)(x-5) is 3000(-2x+19)

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derivative of

3000 (14 - x) (x - 5)

3000 (- 2 x + 19)

Solution steps

\frac{d}{d x} (3000 (14 - x) (x - 5))

Take the constant out:

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

= 3000 \frac{d}{d x} ((14 - x) (x - 5))

Apply the Product Rule:

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

f = 14 - x, g = x - 5

= 3000 (\frac{d}{d x} (14 - x) (x - 5) + \frac{d}{d x} (x - 5) (14 - x))

\frac{d}{d x} (14 - x) = - 1

\frac{d}{d x} (x - 5) = 1

= 3000 ((- 1) (x - 5) + 1 \cdot (14 - x))

Simplify

3000 ((- 1) (x - 5) + 1 \cdot (14 - x)) : 3000 (- 2 x + 19)

= 3000 (- 2 x + 19)

f (x) = 6 x^{2} + 8 x

\frac{x}{2 - tan ( x )}

\frac{d}{d x} (sin (2 x) cos (x))

\frac{\partial}{\partial x} (tan (x))

\frac{d ^{4}}{d x ^{4}} (3 e^{x^{2}})

What is the derivative of 3000(14-x)(x-5) ?
The derivative of 3000(14-x)(x-5) is 3000(-2x+19)
What is the first derivative of 3000(14-x)(x-5) ?
The first derivative of 3000(14-x)(x-5) is 3000(-2x+19)