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.

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 a function is the rate of change of the function with respect to any independent variable.

Derivative of cosec x using first principle

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To derive the derivative of cosec x, we will use the following formulas:.

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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. 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 a function is the rate of change of the function with respect to any independent variable.

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Hence, we have derived the derivative of cosec x to be -cot x cosec x using the first principle of differentiation. Privacy Policy. Open In App. Statistics Cheat Sheet. Help us improve. Practice Questions on Derivative of Cosec x. Solution: We know that the first derivative of cosec x is -cosec x cot x. Derivative of the function is defined as the rate of change of the function with respect to a variable. Please Login to comment Easy Normal Medium Hard Expert.

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.

In this article, we will discuss all the topics related to the derivative of cosec x including its proof using various methods. Solution: The derivative of cosec x cot x can be determined using the product rule. Enhance the article with your expertise. Maths Formulas. Create Improvement. Derivative of the function is defined as the rate of change of the function with respect to a variable. Calculus Cheat Sheet. To prove derivative of cosec x we will use chain rule and some basic trigonometric identities and limits formula. Like Article Like. To prove the derivative of cosec x using the Quotient rule, we will use basic derivatives and trigonometric formulas which are listed below:.