d/dx[cosx]
To find the derivative of a function, we use the rules of differentiation
To find the derivative of a function, we use the rules of differentiation. In this case, we want to find the derivative of the cosine function, which is represented as cos(x).
The derivative of the cosine function can be calculated using the chain rule. The chain rule states that if we have a composite function, f(g(x)), then the derivative of that composite function is given by the derivative of the outer function evaluated at the inner function multiplied by the derivative of the inner function.
In this case, the outer function is cos(x) and the inner function is x.
To apply the chain rule, we first find the derivative of the outer function, which is -sin(x). The derivative of cos(x) with respect to x is -sin(x).
Next, we multiply the derivative of the outer function with the derivative of the inner function, which is 1 since the derivative of x with respect to x is 1.
Therefore, the derivative of cos(x) with respect to x, denoted as d/dx[cos(x)], is -sin(x).
So, d/dx[cos(x)] = -sin(x).
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