j7b56zyxc4 j7b56zyxc4

19-03-2022
Mathematics

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Find the derivative of the function. f(x) = (tan5(x) + 2)^2

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linandrew41 linandrew41

19-03-2022

[tex]f(x) = (tan(5x)+2)^2\\\\f'(x) = 2(tan(5x) +2)*\frac{d}{dx}(tan(5x)+2) = 2(tan(5x)+2)*5sec^2(5x)\\ =(2tan(5x)+4)*5sec^2(5x)\\ =10tan(5x)*sec^2(5x)+20sec^2(5x)[/tex]

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