What is the derivative of (x+y)^2-4x+y+10 ?

The derivative of (x+y)^2-4x+y+10 is 2(x+y)-4

What is the first derivative of (x+y)^2-4x+y+10 ?

The first derivative of (x+y)^2-4x+y+10 is 2(x+y)-4

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derivative of

(x + y)^{2} - 4 x + y + 10

2 (x + y) - 4

Solution steps

\frac{d}{d x} ((x + y)^{2} - 4 x + y + 10)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} ((x + y)^{2}) - \frac{d}{d x} (4 x) + \frac{d y}{d x} + \frac{d}{d x} (10)

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

\frac{d}{d x} (4 x) = 4

\frac{d y}{d x} = 0

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

= 2 (x + y) - 4 + 0 + 0

Simplify

= 2 (x + y) - 4

\int_{0}^{π} 2 cos^{2} (\frac{π}{2}) d x

\int \frac{2}{7} x^{2} + 1 d x

f (x) = 3 x^{2}, (- 1, 3)

g (t) = t

\frac{d}{d x} ((x^{2} + 2 x + 2)^{s i n (x)})

What is the derivative of (x+y)^2-4x+y+10 ?
The derivative of (x+y)^2-4x+y+10 is 2(x+y)-4
What is the first derivative of (x+y)^2-4x+y+10 ?
The first derivative of (x+y)^2-4x+y+10 is 2(x+y)-4