## d/dx(tanx)

### To find the derivative of tan(x) with respect to x, we can use the derivative formula for the tangent function

To find the derivative of tan(x) with respect to x, we can use the derivative formula for the tangent function.

Recall that the derivative of the tangent function is given by:

d/dx(tan(x)) = sec^2(x)

Here, sec^2(x) represents the secant squared of x, which is equivalent to (1/cos^2(x)).

Hence, the derivative of tan(x) with respect to x is sec^2(x), or 1/cos^2(x).

In summary,

d/dx(tan(x)) = sec^2(x) = 1/cos^2(x)

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