Derivative of cosec x using first principle

The derivative of cosec x is negative of the product of trigonometric functions cosec x and cot x, that is, -cosec x cot x. The differentiation of csc x is the process of evaluating the derivative of cosec x with respect to angle x. Before proving the differentiation of cosec x, let us recall the definition of cosec x also written as csc x.

Cosecant Functions are denoted as csc or cosec and defined as the reciprocal of the sine function i. In this article, we will discuss all the topics related to the derivative of cosec x including its proof using various methods. Among the trig derivatives, the derivative of the cosec x is one of the derivatives. The derivative of the cosec x is -cot x cosec x. The derivative of cosec x is the rate of change with respect to the angle i. The resultant of the derivative of cosec x is -cot x cosec x.

Derivative of cosec x using first principle

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Cosec x is the ratio of the hypotenuse and the perpendicular sides of a right-angled triangle. The trigonometric identities and limits formula which are used in the proof are given below:.

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The derivative of cosec x is negative of the product of trigonometric functions cosec x and cot x, that is, -cosec x cot x. The differentiation of csc x is the process of evaluating the derivative of cosec x with respect to angle x. Before proving the differentiation of cosec x, let us recall the definition of cosec x also written as csc x. Cosec x is the ratio of the hypotenuse and the perpendicular sides of a right-angled triangle. Let us understand the differentiation of cosec x along with its proof in different methods such as the first principle of derivatives, chain rule, quotient rule, and also we will solve a few examples using the derivative of cosec x.

Derivative of cosec x using first principle

Cosecant Functions are denoted as csc or cosec and defined as the reciprocal of the sine function i. In this article, we will discuss all the topics related to the derivative of cosec x including its proof using various methods. Among the trig derivatives, the derivative of the cosec x is one of the derivatives.

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Example 2: Determine the second derivative of cosec x. Before proving the differentiation of cosec x, let us recall the definition of cosec x also written as csc x. Save Article Save. Additional Information. Last Updated : 30 Jan, Our Mission. Hire With Us. What is Derivative of Cosec x? The differentiation of cosec x can be done in different ways. Skip to content. What is the integral of cosec x? Hence, we have derived the derivative of cosec x to be -cot x cosec x using the first principle of differentiation. Derivative of a function is the rate of change of the function with respect to any independent variable. Engineering Exam Experiences.

The derivative of cosecant function with respect to a variable is equal to the negative product of cosecant and cotangent. The derivative of cosecant function is derived mathematically from first principle. For simplifying the difference of the cosecant functions in the numerator, express each cosecant function in terms of sine function as per reciprocal identity of sin function.

To prove derivative of cosec x using First Principle of Derivative, we will use basic limits and trigonometric formulas which are listed below:. Privacy Policy. Already booked a tutor? Learn Practice Download. Derivative of Cosec x can be calculated using different methods including the first principle of differentiation, quotient rule, and chain rule. To prove derivative of cosec x we will use chain rule and some basic trigonometric identities and limits formula. Help us improve. The differentiation of csc x is the process of evaluating the derivative of cosec x with respect to angle x. Calculus Cheat Sheet. What is the integral of cosec x? Math worksheets and visual curriculum.