# What is the derivative of cosx

## Differentiation of trigonometric functions

Derivative of cos x

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The derivative of sin x. The derivative of cos x. The derivative of tan x. The derivative of cot x. The derivative of sec x. The derivative of csc x. To prove that, we will use the following identity:.

Derivative Calculator computes derivatives of a function with respect to given variable using analytical differentiation and displays a step-by-step solution. It allows to draw graphs of the function and its derivatives. Calculator supports derivatives up to 10th order as well as complex functions. Derivatives are computed by parsing the function, applying differentiation rules and simplifying the result. Steps to use the derivative calculator: Enter function you would like to differentiate and pay attention to the syntax checker tooltip which would inform you if the function is misspelled. Enter differentiation variable if it is different from the the default value. Choose degree of differentiation.

The differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function , or its rate of change with respect to a variable. Common trigonometric functions include sin x , cos x and tan x. All derivatives of circular trigonometric functions can be found using those of sin x and cos x. The quotient rule is then implemented to differentiate the resulting expression. Finding the derivatives of the inverse trigonometric functions involves using implicit differentiation and the derivatives of regular trigonometric functions. The diagram on the right shows a circle, centre O and radius r. This means that the construction and calculations are all independent of the circle's radius.

Easy to understand calculus lessons on DVD. Try before you commit. It can be shown from first principles that:. Differentiation Interactive Applet - trigonometric functions. So using the quotient rule , we have:. We have 2 products.

## $\frac{d}{dx} \sin{x}\cos{x}$

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