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Attempt following question by selecting a choice to answer. D
If y = (3x + 2)^{ln x}, then find y ′.ffff DDDDA. DI B. DV C. DIII D. DIV E. DII DD
B
Step 1: y = (3x + 2)^{ln x}[Write the function.]
Step 2: ln y = (ln x) [ln (3x + 2)][Take logarithm on both the sides.]
Step 3: 1y y ′ = (ln x) (13x+2) (3) + [ln (3x +2)] (1x)[Find dydx.]
Step 4: y ′ = y[ln (3x+2)x+3ln x3x+2][Mulitply by y on both the sides.]
Step 5: y ′ = (3x + 2)^{ln x} [ln (3x+2)x+3ln x3x+2][Replace y with (3x + 2)^{ln x}.]

