Q3 of 354 Page 11

Differentiate the following functions with respect to x:

tan(x° + 45°)

Let y = tan(x° + 45°)


First, we will convert the angle from degrees to radians.


We have



On differentiating y with respect to x, we get



We know


[using chain rule]




However, and derivative of a constant is 0.




Thus,


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