Maximizing Differentiation | Finding the Derivative of Cosine(x) with Respect to x

d/dx cos(x)

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

To find the derivative of cos(x) with respect to x, we can use the chain rule of differentiation. The chain rule states that if we have a composition of functions, such as cos(x), we can find its derivative by taking the derivative of the outer function with respect to the inner function and multiplying it by the derivative of the inner function with respect to x.

The derivative of cos(x) is equal to -sin(x). This can be derived using trigonometric identities or by using the concept of the unit circle.

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

In simpler terms, the derivative of the cosine function is equal to the negative of the sine function.

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