What is the derivative of x_{1}+x_{2}+x_{3}-12 ?

The derivative of x_{1}+x_{2}+x_{3}-12 is 1

What is the first derivative of x_{1}+x_{2}+x_{3}-12 ?

The first derivative of x_{1}+x_{2}+x_{3}-12 is 1

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derivative of

x_{1} + x_{2} + x_{3} - 12

1

Solution steps

\frac{d}{d x _{1}} (x_{1} + x_{2} + x_{3} - 12)

Treat

x_{2}, x_{3}

as constants

Apply the Sum/Difference Rule:

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

= \frac{d}{d x _{1}} (x_{1}) + \frac{d}{d x _{1}} (x_{2}) + \frac{d}{d x _{1}} (x_{3}) - \frac{d}{d x _{1}} (12)

\frac{d}{d x _{1}} (x_{1}) = 1

\frac{d}{d x _{1}} (x_{2}) = 0

\frac{d}{d x _{1}} (x_{3}) = 0

\frac{d}{d x _{1}} (12) = 0

= 1 + 0 + 0 - 0

Simplify

= 1

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What is the derivative of x_{1}+x_{2}+x_{3}-12 ?
The derivative of x_{1}+x_{2}+x_{3}-12 is 1
What is the first derivative of x_{1}+x_{2}+x_{3}-12 ?
The first derivative of x_{1}+x_{2}+x_{3}-12 is 1