Derive sec 2x

The derivative of sec square x at a point gives us the slope of graph of the function sec square x at that point. Sec x is one of the important trigonometric functions, derive sec 2x.

Note that in this post we will be looking at differentiating sec 2x which is not the same as differentiating sec 2 x. The chain rule is useful for finding the derivative of a function which could have been differentiated had it been in x, but it is in the form of another expression which could also be differentiated if it stood on its own. To perform the differentiation sec 2x , the chain rule says we must differentiate the expression as if it were just in terms of x as long as we then multiply that result by the derivative of what the expression is actually in terms of in this case the derivative of 2x. The Chain Rule: For two differentiable functions f x and g x. Now we can just plug f x and g x into the chain rule.

Derive sec 2x

The first method is by using the product rule for derivatives since sec 2 x can be written as sec x. The product rule for differentiation states that the derivative of f x. The Product Rule: For two differentiable functions f x and g x. The chain rule is useful for finding the derivative of a function which could have been differentiated had it been in x, but it is in the form of another expression which could also be differentiated if it stood on its own. Although the expression sec 2 x contains no parenthesis, we can still view it as a composite function a function of a function. Now the function is in the form of x 2 , except it does not have x as the base, instead it has another function of x sec x as the base. The Chain Rule: For two differentiable functions f x and g x. Just be aware that not all of the forms below are mathematically correct. It is interesting to note that the derivative of sec 2 x is equal to the derivative of tan 2 x. View all posts by DerivativeIt. The second method is by using the chain rule for differentiation. We can write sec 2 x as sec x 2. Published by DerivativeIt.

Math worksheets and visual curriculum. Our Team. On differentiating a function, we get a slope of the curve of the function at a particular point.

The derivative of sec square x is equal to twice the product of sec square x and tanx. Differentiation of a function gives the slope function of the curve of the function which can give the slope of the function at a particular point. Let us learn to evaluate the derivative of sec square x using different methods of derivatives and its formula. We will also solve different examples related to the concept for a better understanding of the concept of derivatives. Sec x is one of the important and main trigonometric functions in trigonometry. We know that the derivative of secx is equal to secx tanx.

Learn what is the derivative of sec square x with formula. Also understand how to prove the derivative of sec 2x by three techniques. Derivatives have a wide range of applications in almost every field of engineering and science. The sec 2x derivative can be calculated by following the rules of differentiation. Or, we can directly find the sec2x differentiation by applying the first principle of differentiation. In this article, you will learn what the sec 2 x derivative is and how to calculate the sec2x derivative by using different approaches.

Derive sec 2x

The derivative of sec square x is equal to twice the product of sec square x and tanx. Differentiation of a function gives the slope function of the curve of the function which can give the slope of the function at a particular point. Let us learn to evaluate the derivative of sec square x using different methods of derivatives and its formula. We will also solve different examples related to the concept for a better understanding of the concept of derivatives. Sec x is one of the important and main trigonometric functions in trigonometry. We know that the derivative of secx is equal to secx tanx.

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Privacy Policy. Download as PDF. Sec square x is an example of a composite function. The image below shows the formula for the derivative of sec square x:. Already booked a tutor? Secant is a trigonometric function , and the derivative of sec square x is denoted as two times the product of sec square x and tan x. What is the derivative of sec 2 2x? Also, reach out to the test series available to examine your knowledge regarding several exams. The Product Rule: For two differentiable functions f x and g x. The chain rule is useful for finding the derivative of a function which could have been differentiated had it been in x, but it is in the form of another expression which could also be differentiated if it stood on its own. The Chain Rule: For two differentiable functions f x and g x. Sec x is one of the important and main trigonometric functions in trigonometry. The derivative of sec x with respect to x is sec x tan x The derivative of sec z with respect to z is sec z tan z In a similar way, the derivative of sec 2x with respect to 2x is sec 2x tan 2x. Product rule in differentiation is used when we need to find the derivative of the product of two functions.

The chain rule comes up with a way to calculate the derivative of composite functions with both the number of functions in the composition identifying the number of differentiation steps required. When you take the derivative of the derivative of a function, this is called the second derivative of that function. Though the first derivative indicates whether the function is decreasing or increasing, the second derivative indicates whether the first derivative is decreasing or increasing.

The chain rule is useful for finding the derivative of a function which could have been differentiated had it been in x, but it is in the form of another expression which could also be differentiated if it stood on its own. Sri Lanka. We can write sec 2 x as sec x 2. Already booked a tutor? Math worksheets and visual curriculum. The Product Rule: For two differentiable functions f x and g x. Derivative of Sin 2x. The chain rule is useful for finding the derivative of a function which could have been differentiated had it been in x, but it is in the form of another expression which could also be differentiated if it stood on its own. Therefore, we have. We can use the derivative of sec x and the power rule to find the derivative of sec square x. Download Brochure.