Discover the Chain Rule in Calculus: How to Derive the Derivative of Cos(x) with Respect to x

d/dx(cosx)

sinx

The derivative of cos(x) with respect to x can be found by using the chain rule and the derivative of sin(x). Using the chain rule, we take the derivative of the outer function (cos(x)) with respect to the inner function (x), which gives us a sin(x) term:

d/dx(cos(x)) = -sin(x)

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

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