The slope of the tangent to the curve y = x^3 - 3x at x = 1 is:
Practice Questions
Q1
The slope of the tangent to the curve y = x^3 - 3x at x = 1 is:
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Questions & Step-by-Step Solutions
The slope of the tangent to the curve y = x^3 - 3x at x = 1 is:
Step 1: Identify the function given in the question, which is y = x^3 - 3x.
Step 2: Find the derivative of the function. The derivative tells us the slope of the tangent line. The derivative of y = x^3 - 3x is f'(x) = 3x^2 - 3.
Step 3: Substitute x = 1 into the derivative to find the slope at that point. Calculate f'(1) = 3(1)^2 - 3.
