Understanding the Chain Rule | Derivative of sin(x) with respect to x is cos(x)

d/dx(sin(x))

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 function f(g(x)), then the derivative of f(g(x)) with respect to x is equal to f'(g(x)) times g'(x).

In this case, f(x) = sin(x) and g(x) = x. We know that the derivative of sin(x) with respect to x is cos(x), and the derivative of x with respect to x is 1.

Using the chain rule, we have:

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

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

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