Find the Slope x=5

Problem

y=x2−4*x+3,x=5

Solution

1. Identify the function to be differentiated, which is y=x2−4*x+3

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−4

4. Substitute the given value x=5 into the derivative to find the specific slope at that point.

d(y)/d(x)=2*(5)−4

5. Simplify the arithmetic to reach the final value.

d(y)/d(x)=10−4=6

Final Answer

d(y)/d(x)=6

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