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The domain of the function allows us to write f(x)=x^x  as f(x)=e^{ln(x^x)}=e^{x ln(x)} (since ln(x) is defined on (0,oo) only). Using the standard derivati...

12x^2 +3

Step 1: Look at formula in formula booklet provided and write out formula.

Formula: (a+b)ⁿ= aⁿ+ ⁿc₁a^n-1b + ⁿC₂a^n-1<...

My first step would be to put all the known values on one side: ln(x) = ln(6) - ln(3) Then, using log laws, we have: ln(x) = ln(6/3) so, ln(x) = ln(2) so, x = 2

cosec(2x) + cot(2x)

CONVERT ALL COSEC/COT/SEC FUNCTIONS INTO FUNCTIONS USING SIN/TAN/COS

= 1 / (sin2x) + cos(2x) / sin(2x)

COMBINE THE TWO FRACTIONS INTO ONE

= [1...