Question

HW07: Problem 3 Previous Problem Problem List Next Problem (1 point) Let f(x) = -5+5vX. Then the expression f(x +h)-f(x) can be written in the form VBx + Ch) + (7) where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = 3 C = 0 Use your answer from above to find Lim (x +h)-f(x) 10 lim f(x+h)-f(x) Finally, find each of the following: f'(1) = f'(2) = f'(3) = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 1 time. Your O TCOOPSCORES

Answer 1

(1)Given the function, f(x)=-5+5V That implies, f(x+h)-f(x)_ (+5+5Vx+h)-(-5+547) -5+5wx+h+5-5VX Swa+h-548 5(x+h - )

(2) Rationalize the result: 5(x+h – x) 5(x+h - 4x) +x+h+ x x+h+ ${(Vx+h) – (Va)") h(Vx+h+va) 5(x+h-x) h( vx+h+va) 5 Vx+h+vt Compare with Bx + Ch+Vx Vx+h+vx A = 5, B = 1, C = 11 =

limh lim f(x+h)-f(x). 1 5(Vx+h-vx) 5 150 Vx+h+v 5 √x+0+ √x

f(1)= f( x) =) f(2)=ਕੰਨ f(3) = ਮੈਤ