Find the slope of the tangent to the curve y = x^2 at the point x = 3.
Model Answer & Options
Source: Extra Practice3
9
6
2
Explanation
The slope of the tangent is the value of the derivative at that point. The derivative of y = x^2 is dy/dx = 2x. Evaluating at x = 3, we get 2(3) = 6. Option A is the x-value. Option B is the y-value (x^2). Option D is the derivative function's coefficient.
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