Agent C.
asked • 10/10/23The linear approximation at x=0 to f(x)= 1/sqrt(9-x) is L(x) = A +Bx
I have to find A and B. I was able to find A by plugging in 0 to f(x). I'm having trouble finding B
Mark M. answered • 10/10/23
Retired math prof. Calc 1, 2 and AP Calculus tutoring experience.
L(x) = f(0) + f'(0)x
f(x) = (9-x)-1/2
f'(x) = -1/2(9-x)-3/2(-1) = 1 / [2(9-x)3/2]
f'(0) = 1/54
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