What is the derivative of y=xy+10x+10y ?

The derivative of y=xy+10x+10y is y+10

What is the first derivative of y=xy+10x+10y ?

The first derivative of y=xy+10x+10y is y+10

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derivative of

y = x y + 10 x + 10 y

y + 10

Solution steps

\frac{d}{d x} (x y + 10 x + 10 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x y) + \frac{d}{d x} (10 x) + \frac{d}{d x} (10 y)

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

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (10 y) = 0

= y + 10 + 0

Simplify

= y + 10

x^{2} + 3 x + 5

x^{2} + 3 x + 7

f (x) = x^{14} cos (x)

4 cos (1 0^{6} t - y)

\frac{d}{d x} (k (x - a)^{2} + b)

What is the derivative of y=xy+10x+10y ?
The derivative of y=xy+10x+10y is y+10
What is the first derivative of y=xy+10x+10y ?
The first derivative of y=xy+10x+10y is y+10