(d/dx) -cos(x)
To find the derivative of -cos(x) with respect to x, we will use the chain rule
To find the derivative of -cos(x) with respect to x, we will use the chain rule. The chain rule states that if we have a function f(g(x)), the derivative of f(g(x)) with respect to x is given by (d/dx) f(g(x)) = f'(g(x)) * g'(x).
Here, f(u) = -cos(u) and g(x) = x.
So, f'(u) = sin(u) and g'(x) = 1.
Now, applying the chain rule, we have:
(d/dx) -cos(x) = f'(g(x)) * g'(x) = sin(g(x)) * g'(x) = sin(x) * 1 = sin(x).
Therefore, the derivative of -cos(x) with respect to x is sin(x).
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