Differentiate the following with respect to x:log3x + 3logex + 2 tan x

Q6 of 168 Page 30

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) =

Differentiate the following with respect to x:

e^{x log a} + e^{a log x} + e^{a log a}

Differentiate the following with respect to x:

(2x² + 1)(3x + 2)

Differentiate the following with respect to x: