What is the d/(dy)((x)(y-{p}(x)x)) ?

The d/(dy)((x)(y-{p}(x)x)) is x(1-x d/(dy)({p}(x)))

What is the first d/(dy)((x)(y-{p}(x)x)) ?

The first d/(dy)((x)(y-{p}(x)x)) is x(1-x d/(dy)({p}(x)))

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\frac{d}{d y} ((x) (y - p (x) x))

x (1 - x \frac{d}{d y} (p (x)))

Solution steps

\frac{d}{d y} ((x) (y - p (x) x))

Treat

x

as a constant

Take the constant out:

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

= x \frac{d}{d y} (y - p (x) x)

Apply the Sum/Difference Rule:

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

= x (\frac{d y}{d y} - \frac{d}{d y} (p (x) x))

\frac{d y}{d y} = 1

\frac{d}{d y} (p (x) x) = x \frac{d}{d y} (p (x))

= x (1 - x \frac{d}{d y} (p (x)))

(2 + \frac{y}{x ^{2}}) d y

\frac{14 x ^{3}}{( x - 3 ) ^{2}}

\frac{( x + 1 ) ( x + 2 )}{( x - 2 ) ( x - 1 )}

\frac{( 0.2 ( 0.01 x ^{2} + 120 ) )}{x}

3 (- 7 x + 4 y = - 8)

What is the d/(dy)((x)(y-{p}(x)x)) ?
The d/(dy)((x)(y-{p}(x)x)) is x(1-x d/(dy)({p}(x)))
What is the first d/(dy)((x)(y-{p}(x)x)) ?
The first d/(dy)((x)(y-{p}(x)x)) is x(1-x d/(dy)({p}(x)))