The Chain Rule | Finding 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.

The chain rule states that if we have a composite function, which consists of a function of a function, the derivative is equal to the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function.

In this case, sin(x) is our outer function and the inner function is x.

The derivative of sin(x) is found by taking the derivative of the outer function cos(x) and multiplying it by the derivative of the inner function, which is 1.

So, we have:

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

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

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