Find the derivative, with respect to x of

y = 7x^2 + 3x + 2

y=14x+3

To find the derivative of y with respect to x, we need to apply the power rule and sum rule of differentiation. Here's a step-by-step explanation of how to find the derivative:

Step 1: Identify the terms in the given function.
y = 7x^2 + 3x + 2 has three terms: 7x^2, 3x, and 2.

Step 2: Apply the power rule of differentiation to each term.
For the term 7x^2, we multiply the coefficient 7 by the power 2, and subtract 1 from the power:
Derivative of 7x^2 = 2 * 7x^(2 - 1) = 14x.

For the term 3x, we multiply the coefficient 3 by the power 1, and subtract 1 from the power:
Derivative of 3x = 1 * 3x^(1 - 1) = 3.

The term 2 is a constant, and the derivative of a constant is always 0.

Step 3: Combine the derivatives of each term.
The derivative of y = 7x^2 + 3x + 2 is:
dy/dx = 14x + 3.

Therefore, the derivative of y with respect to x is 14x + 3.