d/dx [cosx]
To find the derivative of cos(x), we can use the chain rule
To find the derivative of cos(x), we can use the chain rule. Recall that the derivative of the cosine function, cos(x), is equal to the negative sine function, -sin(x).
Using the chain rule, we have:
d/dx [cosx] = d/dx [cos(u)] * du/dx,
where u = x.
Now, let’s find du/dx:
du/dx = 1.
Therefore, we have:
d/dx [cosx] = d/dx [cos(u)] * du/dx
= -sin(u) * 1
= -sin(x).
So, the derivative of cos(x) is -sin(x).
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