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The derivative of f(x)=(x+2)(x+5) has to be found.
f'(x) = [(x+2)(x+5)]'
Use the product rule
=> (x + 2)'(x + 5) + (x + 2)(x + 5)'
=> (x + 5) + (x + 2)
=> 2x + 7
The required derivative is 2x + 7
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