Find the derivative of 1. f'(x) = 2. f'(x) = 3. f'(x) 4. f'(x) 5. f'(x) = = = f(x) 6. f'(x) = = = (1 + x)² 1-x x - 3 (1+x)³ x² + 2x - 3 (1 + x)² x² - 2x - 3 (1-x)² 3-x (x + 1)³ 3+x (1 − x)³ 3+2x-x² (1 - x)²

The number of semester hours of college credit taken by first-time candidates for a certain professional exam has a Normal distribution with a mean of 120 hours and a standard deviation of 16 hours. Consider a random sample of n first-time candidates for the exam and let x represent the mean number of hours of college credit taken for the sample. Complete parts a through e below. Click the icon to view the table of normal curve areas. ..... a. Describe the shape of the sampling distribution of x. A. The shape is Normal distribution only when sample size is greater than 30 B. The shape is Normal distribution for any sample size O C. is always the same as the distribution of the population D. The shape is skewed right b. If 16 first-time candidates for the exam are randomly selected, what is the probability that the mean number of hours of college credit taken by these students x is between 118 and 122 hours? P(118 < x <122) = (Round to four decimal places as needed.) c. If 64 first-time…

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Solve. Identity and reject any extraneous roots. log(m+2) - 1 = -log(m-1)