Find the Slope x=-3

Problem

ƒ(x)=x2

Solution

1. Identify the function and the point of interest. Since no specific function was provided in the prompt, we assume the standard parabola ƒ(x)=x2 to find the slope at x=−3

2. Find the derivative of the function to determine the general formula for the slope of the tangent line.

3. Apply the power rule to differentiate x2

d(x2)/d(x)=2*x

4. Substitute the given value x=−3 into the derivative to find the specific slope at that point.

ƒ′*(−3)=2*(−3)

5. Simplify the result to find the final numerical value.

ƒ′*(−3)=−6

Final Answer

d(x2)/d(x)* at *x=−3=−6

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