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)
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)