Differentiate the following with respect to x:
Given,
f(x) =
using change of base formula for log, we can write –
logx 3 = (loge 3)/(loge x)
∴ f(x) =
⇒ f(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) = 2( – cosec x cot x) + 8(2x loge2) – 4/(loge3) (1/x)
⇒ f’(x) =
∴ f’(x) =