Mastering the Chain Rule | Derivative of sin(x) using the Chain Rule

d/dx(sinx)

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

To find the derivative of sin(x) with respect to x, we can use the chain rule. The chain rule states that if we have a composite function, we need to take the derivative of the outer function and multiply it by the derivative of the inner function.

In this case, the outer function is sin(x) and the inner function is x. The derivative of the outer function is cos(x). The derivative of the inner function is 1.

Now, applying the chain rule, we multiply the derivative of the outer function (cos(x)) by the derivative of the inner function (1). This gives us:

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

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

More Answers:
Derivative of the Secant Function Explained | Quotient Rule and Alternative Forms
Finding the Derivative of the Cosine Function using the Chain Rule in Calculus
How to Find the Derivative of Tangent Function | Step-by-Step Guide and Formula

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 »