What is the derivative of (x-2y) ?

The derivative of (x-2y) is y+(dy)/(dx)(x-2)

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

The first derivative of (x-2y) is y+(dy)/(dx)(x-2)

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\frac{d}{d x} ((x - 2) y)

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

Solution steps

\frac{d}{d x} ((x - 2) y)

Apply the Product Rule:

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

f = x - 2, g = y

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

\frac{d}{d x} (x - 2) = 1

= 1 \cdot y + \frac{d y}{d x} (x - 2)

Simplify

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

- 3 x^{3} (16 x^{4} y^{2})

k^{2} (k + 1)^{2}

16 x^{5} y^{4} (14 x^{2} y^{2})

What is the derivative of (x-2y) ?
The derivative of (x-2y) is y+(dy)/(dx)(x-2)
What is the first derivative of (x-2y) ?
The first derivative of (x-2y) is y+(dy)/(dx)(x-2)