Question

Use the difference quotient to find the slope of the curve at the given point.

f(x) = x³ - x at x = 1

Answer 1

To find the slope of the curve at x = 1, we can use the difference quotient formula.

Step-by-step explanation:

To find the slope of the curve at the given point, we can use the difference quotient formula. The formula is:

slope = (f(x + h) - f(x)) / h

Plugging in the values, we get:

slope = ((1 + h)³ - (1 + h)) / h

By simplifying and taking the limit as h approaches 0, we can find the slope at x = 1.