Here's how to solve the problem:
Step 1: Identify the function and rewrite terms for easier differentiation.
The function to differentiate is:
y=72x+5logx−2sinxcos(2x)+3tanx
We assume logx refers to the natural logarithm, lnx.
The third term can be split and simplified:
−2sinxcos(2x)+3tanx=−2sinxcos(2x)−2sinx3tanx
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