Question

Consider the function y=x²−2x 1. What is the slope of the tangent line at x=2?

A) 2
B) 0
C) 4
D) -2

Answer 1

The slope of the tangent line at x=2 for the function y = x² - 2x is 2.

Step-by-step explanation:

To find the slope of the tangent line at x = 2 for the function y = x² - 2x, we need to find the derivative of the function and evaluate it at x = 2.

First, we differentiate the function using the power rule: dy/dx = 2x - 2.

Next, we substitute x = 2 into the derivative: dy/dx = 2(2) - 2 = 4 - 2 = 2.

Therefore, the slope of the tangent line at x = 2 is 2.