The work below is not correct. There are a few errors. Indicate all the errors that are presented below. f(x) = V1– a? f(x + h) – f(x) = lim h→0 f' (x) (1) h - (x + h)² – V1 - 72 = lim h→0 (2) h 1 – x² + 2xh + h² – /1 – x² V lim h→0 (V1 – x² + 2xh + h² + /1 – æ² (3) 1- x2 + 2xh + h² + 1+ x2 = lim h→0 (4) h 2+ 2xh + h² = lim h→0 (5) = lim 2 + 2x + h h→0 (6) = 2 + 2x (7) In line (1), the Definition of the Derivative is not correct. In line (2), f(x +h) is not evaluated correctly. In line (3), there are 1 or more sign errors. In line (3), the expression should be divided by the conjugate of the numerator. In line (4), there are 1 or more sign errors. In line (5), there should be an x² term. In line (5), it is not a valid step to cancel out a factor of h in the numerator There is incorrect use of limit notation in this work.

For the function f(x) = 5/ x+2 4 2, find f-"(x). %3D Of (2) = (4 (x – 2)" Of (x) = (4x – 2) - Of(x) = 4x5 – 2 Of (x) = 4 (x – 2)° Submit Answer Privacy Policy Terms of Service Copyright © 2021 DeltaMath.com. All Rights Reserved.

If f(x) = 5x² , then f' (x) = lim-0 5(x+h)2 –52? h→0 h True False

A radioactive substance has a half-life of 47 years. To two decimal places, how many years does it take for the quantity to be reduced by 25%?