given f(x)=tan x at x=-3 what is the y intercept to the tangent line with two decimal places

Answer 1

f(x) = tan x

f'(x) = sec² x

f'(-3) = sec² (-3)

f'(-3) = (1.001)²

f'(-3) = 1.002

y = 1.002x

Substitute (-3, tan -3) to determine intercept.