How to Find the Derivative of cos(x) Using the Chain Rule

(d/dx) cosx =

To find the derivative of cos(x) with respect to x, denoted as (d/dx) cos(x), we can use the chain rule

To find the derivative of cos(x) with respect to x, denoted as (d/dx) cos(x), we can use the chain rule. The chain rule states that if we have a composite function f(g(x)), then the derivative of f(g(x)) with respect to x is given by the product of the derivative of f with respect to g multiplied by the derivative of g with respect to x.

In this case, cos(x) is a composite function where the outer function is cos and the inner function is x. The derivative of cos(x) with respect to x is then given as follows:

(d/dx) cos(x) = (d/dx)(cos(u)) * (d/dx) x = -sin(x) * 1 = -sin(x),

where u = x and we use the fact that the derivative of x with respect to x is 1.

Therefore, the derivative of cos(x) with respect to x is -sin(x).

More Answers:
How to Find the Derivative of secx with Respect to x Using the Quotient Rule
The Derivative of Tan(x) with Respect to x | Step-by-Step Explanation and Trigonometric Identity
Understanding How to Find the Derivative of sin(x) Using the Chain Rule

Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded

Share:

Recent Posts

Mathematics in Cancer Treatment

How Mathematics is Transforming Cancer Treatment Mathematics plays an increasingly vital role in the fight against cancer mesothelioma. From optimizing drug delivery systems to personalizing

Read More »