How to Find the Derivative of sin(x) Using Basic Derivative Rules and the Chain Rule

d/dx(sinx)

To find the derivative of sin(x) with respect to x, we can use the basic derivative rules

To find the derivative of sin(x) with respect to x, we can use the basic derivative rules. The derivative of sin(x) can be determined using the chain rule, which states that if we have a composite function f(g(x)), then the derivative is given by f'(g(x)) times g'(x).

In this case, we have f(g(x)) = sin(x). The derivative of sin(x) with respect to x can be found by taking the derivative of the outer function sin(x), which is cos(x), and multiplying it by the derivative of the inner function x, which is 1.

Therefore, d/dx(sin(x)) = cos(x) * 1 = cos(x).

So, the derivative of sin(x) with respect to x is simply cos(x).

More Answers:
Calculating the Limit as x Approaches 0 of (1 – cosx)/x using Trigonometric Identity and Algebraic Manipulation
Understanding Continuity Rules in Calculus | A Fundamental Concept Explained
Mastering the Basics | A Guide to Understanding Derivatives and Their Rules in Calculus

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 »