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Simplifying df(x) = ln(3.4x) * sin(3.4x) Multiply df * x dfx = ln(3.4x) * sin(3.4x) Remove parenthesis around (3.4x) dfx = ln * 3.4x * sin(3.4x) Remove parenthesis around (3.4x) dfx = ln * 3.4x * ins * 3.4x Reorder the terms for easier multiplication: dfx = 3.4 * 3.4ln * x * ins * x Multiply 3.4 * 3.4 dfx = 11.56ln * x * ins * x Multiply ln * x dfx = 11.56lnx * ins * x Multiply lnx * ins dfx = 11.56iln2sx * x Multiply iln2sx * x dfx = 11.56iln2sx2 Solving dfx = 11.56iln2sx2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Divide each side by 'fx'. d = 11.56f-1iln2sx Simplifying d = 11.56f-1iln2sx
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