A line that is normal, that is to say perpendicular to a function at any given point will be normal to this slope of the line tangent to the function at that point.

The slope of the tangent can be found by taking the derivative of the function and evaluating the value of the derivative at a point of interest.

We'll need to make use of the following derivative rule(s):

Trigonometric derivative: 

Note that u may represent large functions, and not just individual variables!

Taking the derivative of the function  at the point 

The slope of the tangent is

Since the slope of the normal line is perpendicular, it is the negative reciprocal of this value

A line that is normal, that is to say perpendicular to a function at any given point will be normal to this slope of the line tangent to the function at that point.

The slope of the tangent can be found by taking the derivative of the function and evaluating the value of the derivative at a point of interest.

We'll need to make use of the following derivative rule(s):

Trigonometric derivative: 

Note that u may represent large functions, and not just individual variables!

Taking the derivative of the function  at the point 

The slope of the tangent is

Since the slope of the normal line is perpendicular, it is the negative reciprocal of this value

A line that is normal, that is to say perpendicular to a function at any given point will be normal to this slope of the line tangent to the function at that point.

The slope of the tangent can be found by taking the derivative of the function and evaluating the value of the derivative at a point of interest.

We'll need to make use of the following derivative rule(s):

Derivative of an exponential: 

Trigonometric derivative: 

Note that u may represent large functions, and not just individual variables!

Taking the derivative of the function  at the point 

The slope of the tangent is

Since the slope of the normal line is perpendicular, it is the negative reciprocal of this value

A line that is normal, that is to say perpendicular to a function at any given point will be normal to this slope of the line tangent to the function at that point.

The slope of the tangent can be found by taking the derivative of the function and evaluating the value of the derivative at a point of interest.

We'll need to make use of the following derivative rule(s):

Trigonometric derivative: 

Product rule:  

Note that u may represent large functions, and not just individual variables!

Taking the derivative of the function  at the point 

The slope of the tangent is

Since the slope of the normal line is perpendicular, it is the negative reciprocal of this value

A line that is normal, that is to say perpendicular to a function at any given point will be normal to this slope of the line tangent to the function at that point.

The slope of the tangent can be found by taking the derivative of the function and evaluating the value of the derivative at a point of interest.

We'll need to make use of the following derivative rule(s):

Derivative of an exponential: 

Product rule: 

Note that u and v may represent large functions, and not just individual variables!

Taking the derivative of the function

The slope of the tangent is  at the point 

Since the slope of the normal line is perpendicular, it is the negative reciprocal of this value

A line that is normal, that is to say perpendicular to a function at any given point will be normal to this slope of the line tangent to the function at that point.

The slope of the tangent can be found by taking the derivative of the function and evaluating the value of the derivative at a point of interest.

We'll need to make use of the following derivative rule(s):

Trigonometric derivative: 

Note that u may represent large functions, and not just individual variables!

Taking the derivative of the function  at the point 

The slope of the tangent is

Since the slope of the normal line is perpendicular, it is the negative reciprocal of this value

A line that is normal, that is to say perpendicular to a function at any given point will be normal to this slope of the line tangent to the function at that point.

The slope of the tangent can be found by taking the derivative of the function and evaluating the value of the derivative at a point of interest.

We'll need to make use of the following derivative rule(s):

Derivative of an exponential: 

Trigonometric derivative: 

Product rule: 

Note that u and v may represent large functions, and not just individual variables!

Taking the derivative of the function function  at the point 

The slope of the tangent is

Since the slope of the normal line is perpendicular, it is the negative reciprocal of this value

A line that is normal, that is to say perpendicular to a function at any given point will be normal to this slope of the line tangent to the function at that point.

The slope of the tangent can be found by taking the derivative of the function and evaluating the value of the derivative at a point of interest.

We'll need to make use of the following derivative rule(s):

Trigonometric derivative: 

Product rule: 

Note that u and v may represent large functions, and not just individual variables!

Taking the derivative of the function  at the point 

The slope of the tangent is

Since the slope of the normal line is perpendicular, it is the negative reciprocal of this value

A line that is normal, that is to say perpendicular to a function at any given point will be normal to this slope of the line tangent to the function at that point.

The slope of the tangent can be found by taking the derivative of the function and evaluating the value of the derivative at a point of interest.

We'll need to make use of the following derivative rule(s):

Quotient rule: 

Note that u and v may represent large functions, and not just individual variables!

Taking the derivative of the function  at the point 

The slope of the tangent is

Since the slope of the normal line is perpendicular, it is the negative reciprocal of this value

A line that is normal, that is to say perpendicular to a function at any given point will be normal to this slope of the line tangent to the function at that point.

The slope of the tangent can be found by taking the derivative of the function and evaluating the value of the derivative at a point of interest.

We'll need to make use of the following derivative rule(s):

Trigonometric derivative: 

Note that u may represent large functions, and not just individual variables!

Taking the derivative of the function  at the point 

The slope of the tangent is

Since the slope of the normal line is perpendicular, it is the negative reciprocal of this value