Normal lines and Tangent lines

Calculus Flyer by Kyle Kossack and Huey Mitchell

Thesis

How to understand all concepts of Normal line and Tangent line and how to solve any problem.

Definition of Normal line and Tangent lines


Tangent line-A line that touches a curve at a point without crossing over. Formally, it is a line which intersects a differentiable curve at a point where the slope of the curve equals the slope of the line.

Normal line-is the curve at a point which is the line perpendicular to the tangent at that point.The slope of a line perpendicular to the tangent line is opposite,reciprocal of the tangent line.

Another part to tangent lines is horizontal tangent line and here is how you solve them.

1. Find f'(x) and set that derivative=0 (slope of hora. line is 0)

2. Solve for x.

3.Substitue that value of x into the original function to find the y-value of the point of tangency.

How to solve a Tangent line problem

1.You may have to find the y -value of the point on the graph by substituting in the given x-value into the original equation. 2.Find the derivative of f.3.evaluate f'(x) to get the slope of the graph must be a number.4.Substitute the given point and the slope of the derivative at that value into the point-slope formula.

How to solve a Normal line problem

1.You may have to find the y -value of the point on the graph by substituting in the given x-value into the original equation. 2.Find the derivative of f.3.Evaluate f'(x) to get the slope of the graph must be a number.4.Then find the reciprocal of that number and thats your new slope.5.Substitute the given point and the slope of the derivative at that value into the point-slope formula.

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