The correct answer is:
f′(2)=limx→2[-14(x+2)] f ' ( 2 ) = lim x → 2 [ − 1 4 ( x + 2 ) ]
Which of the following corresponds to the derivative of f(x)=1x+2 at x = 2, using the alternate definition of a derivative, reduced to its simplest form before taking the limit? (1 point) Responses f′(2)=limx→2[−18x] f ' ( 2 ) = lim x → 2 [ − 1 8 x ] f′(2)=limx→2[−14x2] f ' ( 2 ) = lim x → 2 [ − 1 4 x 2 ] f′(2)=limx→2[−116(x−1)] f ' ( 2 ) = lim x → 2 [ − 1 16 ( x − 1 ) ] f′(2)=limx→2[−14(x+2)] f ' ( 2 ) = lim x → 2 [ − 1 4 ( x + 2 ) ] f′(2)=limx→2[−12(x+6)] f ′ ( 2 ) = lim x → 2 [ − 1 2 ( x + 6 ) ]
1 answer