Master the Chain Rule: How to Find the Derivative of sin(x) with Respect to x

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.

Let y = sin(x).

Using the chain rule, the derivative of sin(x) with respect to x, denoted as dy/dx or sin'(x), is calculated as follows:

dy/dx = cos(x) * dx/dx

Since dx/dx is equal to 1, we can simplify the expression:

dy/dx = cos(x) * 1

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

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