d/dx cosx
To find the derivative of cos(x) with respect to x, we can use the chain rule
To find the derivative of cos(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 the derivative of f with respect to g times the derivative of g with respect to x.
In this case, we have f(g(x)) = cos(x), where f(u) = cos(u) and g(x) = x.
The derivative of cos(u) with respect to u is -sin(u). So, the derivative of f(g(x)) with respect to g is -sin(g(x)).
The derivative of g(x) = x with respect to x is 1.
Applying the chain rule, we can say that the derivative of cos(x) with respect to x is -sin(x).
Therefore, d/dx cos(x) = -sin(x).
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