Differentiate the following with respect to x:

log₃x + 3log_ex + 2 tan x

Given,

f(x) = log₃x + 3log_ex + 2 tan x

we need to find f’(x), so differentiating both sides with respect to x –

∴

Using algebra of derivatives –

⇒ f’(x) =

Use the formula:

∴ f’(x) =

⇒ f’(x) =

∴ f’(x) =