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how to determine slope of tangent line. The tangent line to a circle is always perpendicular to the radius corresponding to the point of tangency. Now for the math.
Since x 2 findf 2 3 2 2 4 2 5 25 displaystyle f 23 2 24 2525. We need to find this slope to solve many applications since it tells us the rate of change at a particular instant. State two tangent properties.
F 2 22.
Slope and equation of tangent line The derivative of a function is interpreted as the slope of the tangent line to the curve of the function at a certain given point. We need to find this slope to solve many applications since it tells us the rate of change at a particular instant. Once you have the slope of the tangent line which will be a function of x you can find the exact slope at specific points along the graph. If y fx is the equation of the curve then fx will be its slope.