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2.)
y=x-6.

$2$ .) $y=x-6$ .

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Find derivatives using the chain rule I

Full solution

Q.

2

.)

y=x-6

.

Identify Linear Function: The function $y = x - 6$ is a linear function. The derivative of a linear function of the form $y = mx + b$ , where $m$ and $b$ are constants, is simply the coefficient of $x$ .
Calculate Derivative Coefficient: In the function $y = x - 6$ , the coefficient of $x$ is $1$ (since $x$ is the same as $1x$ ). Therefore, the derivative of $y$ with respect to $x$ is $1$ .
Determine Constant Term Derivative: There are no other terms in the function $y = x - 6$ that depend on $x$ , so we do not need to calculate any other derivatives. The constant term $-6$ has a derivative of $0$ .

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