Why is derivative of sin = cos

Asked 8 years, 3 months ago. Active 8 years, 3 months ago. Viewed 2k times. Tony Tony 11 2 2 bronze badges. Add a comment. Active Oldest Votes. Thomas Andrews Thomas Andrews k 17 17 gold badges silver badges bronze badges.

Matt R. Featured on Meta. We can use integrals to check our work when finding derivatives. Example 1 Find all derivatives of sin x. Theorem The function sin x is differentiable everywhere, and its derivative is cos x. At each point, the slope of the curve sin x is given by the derivative, namely cos x. Indeed, you can see that when sin x has zero slope cosine has value 0, and so on. Why the derivative of sin is cos? Category: personal finance options.

That is because the function cos x happens to describe the behaviour of the slope of the tangent lines of sin x for every x. This is the definition of a derivative. What is the integral of cos? Derivative Rules. That is because the function cos x happens to describe the behaviour of the slope of the tangent lines of sin x for every x.

This is the definition of a derivative. What is the integral of cos? What is the derivative of cos 2x? The derivative of cos 2x is -2sin 2x. The process of finding this derivative uses the chain rule.

What is the derivative of 1 COSX? All together, we have the following. This way of finding the derivative is much simpler than using the quotient rule!