F(x)=5tg x÷5+tg pi÷8 производные

Предыдущий
вопрос Следующий
вопрос

To find the derivative of the function F(x) = 5tan(x)/5 + tan(pi/8), we will first simplify the expression.

F(x) = tan(x) + tan(pi/8)

Now, we will find the derivative of each term separately using the derivative formulas for tangent function.

d/dx(tan(x)) = sec^2(x)
d/dx(tan(pi/8)) = sec^2(pi/8)

Therefore, the derivative of F(x) with respect to x is:

F'(x) = sec^2(x) + sec^2(pi/8)