Let f(x) be the function 11x^(2)-6x+10. Then the quotient (f(9+h)-f(9))/h can be simplified to ah+b. What is a and b?
For a I got 11 but I dont understand how b isn't -6. helppppppppppp!!!!
For a I got 11 but I dont understand how b isn't -6. helppppppppppp!!!!
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( f(x+h) - f(x) ) / h = 11h + 22x - 6
As h->0 this becomes 22x - 6, which is the derivative of f(x)
Letting x=9 gives 11h + 22(9) - 6 = 11h + 192
So you got the a=11 part correct, and the second is just b=f'(9)=192
As h->0 this becomes 22x - 6, which is the derivative of f(x)
Letting x=9 gives 11h + 22(9) - 6 = 11h + 192
So you got the a=11 part correct, and the second is just b=f'(9)=192