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Verify the formula by differentiation. tan tan 514 *dx = 14 In x - 7 In (1 + x2) - 14 +C 2 х х Which function should be differentiated? OA. - 1 tan X 14 2 OB. 14 Inx- 7 In (1 + x²) - 14- -1 tan X +C х 1 tan Notice that the function to be differentiated can be written as a(x) – b(x) - c(x) + C, where a(x)= 14 Inx, b(x) = 7 In (1 +x?) and c(x) = 14" х Find the derivative of a(x) = 14 Inx. a'(x) = Find the derivative of b(x) = 7 In ( 1 +x?). b'(x) = tan х Find the derivative of c(x) = 14- х c'(x)=1 ) tan Find the derivative of f(x) = 14 In x- 7 In (1 +x?) - 14- +C. Recall that differentiating a constant, such as C, results in 0. х f'(x)=0
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