Find the derivative of the function f(x)=x2-8x+5 at the numbers (a) 2 and (b) a. SOLUTION...

Transcribed Image Text:

Find the derivative of the function f(x)=x2-8x+5 at the numbers (a) 2 and (b) a. SOLUTION (a) From this definition we have the following. R(2+h)-f(2) h (b) (2) - lim h-o - lim ho - lim h→0 - lim h→0 lim h-0 f'(a) M lim h-o lim h-o - lim h-o KE lim 6-0 4+ 22 lim ho f(a+h)-f(a) h h (2a-8) h ) - 8(2 + h) + 5] - [(2)² h h 16-8h + 5+7 8(a+h) +5 h -[(2)²-8(2)+5] + 5] - [ə ² h [a² - 83 + 5] -Ba - 8h + 5 - a² + 8a - 5 As a check on our work in part (a), notice that if we let a 2, then f'(a)-f(2) - Find the derivative of the function f(x)=x2-8x+5 at the numbers (a) 2 and (b) a. SOLUTION (a) From this definition we have the following. R(2+h)-f(2) h (b) (2) - lim h-o - lim ho - lim h→0 - lim h→0 lim h-0 f'(a) M lim h-o lim h-o - lim h-o KE lim 6-0 4+ 22 lim ho f(a+h)-f(a) h h (2a-8) h ) - 8(2 + h) + 5] - [(2)² h h 16-8h + 5+7 8(a+h) +5 h -[(2)²-8(2)+5] + 5] - [ə ² h [a² - 83 + 5] -Ba - 8h + 5 - a² + 8a - 5 As a check on our work in part (a), notice that if we let a 2, then f'(a)-f(2) -

Answer rating: 100% (QA)

Find the fx Solution a from this defination we have f2 b 5 derivative ... View the full answer