MATH 1501 Quiz: MATH 1501 GT Quiz4 Practice Solution
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Practice quiz 4 (l9-l10: find the derivatives. (i) d dx (cid:0) 1 x2 6 sec(3x 1) + 2(cid:1) Solution: 2 x3 18 sec(3x 1) tan(3x 1) (ii) f (x) if f (x) = e3x2. 12x ln(x) 6x f (x) = 6e3x2. 12 ln(x) 18 x ) = 6xe3x2 x ) 6 = 6e3x2: the volume of a sphere of radius r is 4. Solution: dv dr = 4 r2 (ii) what is the rate of change of the volume of a sphere of radius r = 2 with respect to radius.
