Use the Quotient Rule to differentiate the given function. H'(r ) = d (2r+1) . (72-1)3 -(72-1)3. 2 (2r+1)5 dr ((2r+1) 5 2 Step 2 of 4 Use the Chain Rule. (2r+1)5.3(72 -1)2 4 (72-1)-(72-1)3. 5(2r+1)4 2 (2r+1) (2r+1)10 = (2r+1)3.3(72-1)2(2r)-(72-1)3. 5(2r+1) 4(2) (2r+1)10 = 6r(2r+1)5.(72 -1)2-10(72 -1)3. (2r+1)4 (2r+1) 10 Step 3 of 4 Combine similar terms. - 2(72-1)2(2r+1)4[3r(2r+1)-5(r2-1)] (2r+1) 10 Step 4 of 4 Simplify. -2(72-1)2(6r2+3r-5r2 +5) (2r+1)6 = 2(72-1)2 (12 +3r+5) (2r+1)6