Dx {cos x}=?
To find the derivative of the function f(x) = cos(x), you can use the derivative rules for trigonometric functions
To find the derivative of the function f(x) = cos(x), you can use the derivative rules for trigonometric functions.
The derivative of the cosine function, cos(x), is given by the derivative of the sine function, sin(x), with a negative sign in front. So, we have:
dx(cos(x)) = -sin(x)
Therefore, the derivative of cos(x) with respect to x is -sin(x).
In mathematical notation:
d/dx (cos(x)) = -sin(x)
This means that at any point x, the rate of change of the cosine function is equal to the negative value of the sine function at that point.
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