Find the Slope x=3

Problem

y=x2−5*x+4,x=3

Solution

1. Identify the function to be differentiated, which is y=x2−5*x+4

2. Find the derivative of the function with respect to x to determine the general expression for the slope of the tangent line.

3. Apply the power rule to each term of the expression.

d(y)/d(x)=2*x−5

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

d(y)/d(x)=2*(3)−5

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

d(y)/d(x)=6−5=1

Final Answer

d(y)/d(x)* at *x=3=1

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