Question

Math 141 Homework 2 June 21, 2019 Problem 1 Use the difference quotient to determine f'(x) for a. f(r)r2 c. f(x) = -2r Problem 2 Find and simplify the difference quotient for f(x)= r2- 4r Problem 3 Find the slope of the line tangent to f(x) = -312 - 4r +2 at (2,-3). 1

Answer 1

Prolemmd) to dekr mire(n) dfferunce qustent fer fn (a) finth) fin) im (n+)2(2 = im Jin [ht lim ((2n +4)) Ars 3 n fin)- n f'n Jin tn) f(n +h) im + fin Jim n2 nC --) Lim -(0)

)fin) = 2n2 - 2 (1+h) 2n1 2n2-nth2) lim hto n+n)n-- 2 lim a(2n1h-A) = Lim れH0 4 3 2x2nt0) Prablemm 4 h {n-4h) Jim 4 - 4 (nth) im hto Sim nthn) (a - t4 (- h -im l(2n+t) 2n-4 Problam(3) hnd Jine tengut Slope dhe he fin= at (2,-3) -3n2-4n+2 fn3d d(2) -3 c - 4 dn 6n 4 f(2) -16 -12 4 -16 slope g dengendラ