MTH 1320
Worksheet #3
(1) Calculate the derivative of each of the following functions.
(a) f(x) = e1−x2
(b) g(x) = x2ln x
(c) h(x) = r1 + x
1−x
(2) Let f(x) = x5.
(a) Find the equation of the tangent line to y=f(x) at x= 2.
(b) Use the tangent line to fat x= 2 to approximate (1.97)5.
(3) Let f(x) = 1/x.
(a) Find the equation of the tangent line to y=f(x) at x= 10.
(b) Use the tangent line to fat x= 10 to approximate 1
10.1.
(4) Find the linear approximation of g(x) = 3
√1 + xat x= 0 and use it to approximate
the numbers 3
√1.06 and 3
√.97.
