Math 1441 Homework #6 Name
F. Ziegler Differentiation formulas Fall 2005
Additional problems: Section 3.3: 1โ42, 51โ60 (do odds at least).
1. Differentiate the functions (show your work overleaf):
(a) g(x) = 5x8
โ2x5+ 6
(b) f(t) = โtโ
1
โt
(c) u=3
โt2+ 2โt3
(d) f(t) = 2t
4 + t2
2. Differentiate the functions (show your work overleaf):
(a) f(x) = โx+ 1
โxโ1
(b) y=x2+x+xโ1+xโ2
(c) y=u6
โ2u3+ 5
u2
(d) f(x) = ax +b
cx +d
3. Find an equation of the tangent line to the curve y=x
1 + x2at the point (3,0.3).
4. If f(3) = 4, g(3) = 2, f0(3) = โ6, and g0(3) = 5, find the following numbers:
(a) (f+g)0(3)
(b) (fg)0(3)
(c) ๎f
g๎0
(3)
(d) ๎f
fโg๎0
(3)