What is the d/(dp)((x(p))(20(15-p))) ?

The d/(dp)((x(p))(20(15-p))) is 20x(15-2p)

What is the first d/(dp)((x(p))(20(15-p))) ?

The first d/(dp)((x(p))(20(15-p))) is 20x(15-2p)

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\frac{d}{d p} ((x (p)) (20 (15 - p)))

20 x (15 - 2 p)

Solution steps

\frac{d}{d p} ((x (p)) (20 (15 - p)))

Treat

x

as a constant

Take the constant out:

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

= x \cdot 20 \frac{d}{d p} (p (15 - p))

Apply the Product Rule:

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

f = p, g = 15 - p

= x \cdot 20 (\frac{d p}{d p} (15 - p) + \frac{d}{d p} (15 - p) p)

\frac{d p}{d p} = 1

\frac{d}{d p} (15 - p) = - 1

= x \cdot 20 (1 \cdot (15 - p) + (- 1) p)

Simplify

x \cdot 20 (1 \cdot (15 - p) + (- 1) p) : 20 x (15 - 2 p)

= 20 x (15 - 2 p)

(1 - t (x)) \cdot x^{'}

8 n - (6 n + 5 = 9)

(c x^{2} + b x + a) (f x^{2} + e x + d)

12 (\frac{6 - 1}{2 x})

(ln (z) = - x) \cdot e

What is the d/(dp)((x(p))(20(15-p))) ?
The d/(dp)((x(p))(20(15-p))) is 20x(15-2p)
What is the first d/(dp)((x(p))(20(15-p))) ?
The first d/(dp)((x(p))(20(15-p))) is 20x(15-2p)