d/dx(cosx)
To find the derivative of the function f(x) = cos(x), we can use the derivative rules and properties of trigonometric functions
To find the derivative of the function f(x) = cos(x), we can use the derivative rules and properties of trigonometric functions.
The derivative of a constant multiple of a function is equal to the constant times the derivative of the function. In this case, the constant is 1 and the function is cos(x). So, we have:
d/dx(cos(x)) = 1 * d/dx(cos(x))
The derivative of the cosine function is equal to the negative sine function. So, we have:
d/dx(cos(x)) = -sin(x)
Therefore, the derivative of cos(x) with respect to x is -sin(x).
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