Differentiate from first principle

1. y= x^2 + 3x

2. y= x^2 + 3x + 8

Differentiation of both the term is

Step-by-step explanation:

As we have to use first principle of derivatives lets recall the formula.

Solving our eqaution.

We will work with then separately then put in the above formula.

1.

Now

Plugging the values of both.

Taking as common.

Putting

Then

is the final derivative.

This will be same for as we have to put only.

2.

Then

Plugging the values of both.

Taking as common.

Putting

Then

is the final derivative.

So both the derivatives are same.