# 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.

## 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.