Q. 14

# 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) =

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