differentiate 3 tanx -4 log x -7x^2 with respect to x
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3sec^2(x) - 4/x - 14x
Explanation:
d(u+v)/dx = du/dx + dv/dx
derivative of tan(x) = sec^2(x)
derivative of 3tan(x) = 3sec^2(x)
derivative of logx = 1/x
derivative of -4logx = -4/x
derivative of x^2 = 2x
derivative of -7x^2 = (-7)2x = -14x
therefore derivative of 3 tanx -4 log x -7x^2 is equal to 3 sec^2(x) - 4/x - 14
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