d/dx(tanx)
sec²x
We will use the chain rule to differentiate the given function.
Let y = tan(x)
Using the derivative of tan(x), we know that
y’ = sec^2(x)
Now, applying chain rule we get
(d/dx) tan(x) = (d/dx) y = (d/dx) sec^2(x) = sec^2(x) (d/dx) x = sec^2(x)
Therefore, the derivative of tan(x) is sec^2(x).
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