Answer:
D.
Step-by-step explanation:
Remember that the limit definition of a derivative at a point is:
![\displaystyle{\frac{d}{dx}[f(a)]= \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28a%29%5D%3D%20%5Clim_%7Bx%20%5Cto%20a%7D%5Cfrac%7Bf%28x%29-f%28a%29%7D%7Bx-a%7D%7D)
Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:
![\displaystyle{\frac{d}{dx}[f(1)]= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%281%29%5D%3D%20%5Clim_%7Bx%20%5Cto%201%7D%5Cfrac%7B%5Cln%28x%2B1%29-%5Cln%282%29%7D%7Bx-1%7D%7D)
Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).
The answer will thus be D.
Answer:
The numbers are 14 and 10
Step-by-step explanation:
Let the numbers be
This implies that,
The sum of the numbers is 24.
Put equation (1) in (2)
Put a point on -3 on y-axis and graph a straight line that is parallel to x-axis then color under the line because -3 is greater :)))
i hope this is helpful
have a nice day
Answer:
4
Step-by-step explanation:
3x +7 = x + 15 subtract x from both sides
2x + 7 = 15 subtract 7 from both sides
2x = 8 divide both sides by 2
x =4
One hour and forty-five minutes
From 4:30 to 5:00 it's 30 minutes, from 5:00 to 6:00 it's one hour (we are at 1 hour and 30 minutes now), and from 6:00 to 6:15, it's 15 minutes.
In total, it's 30 minutes+1 hour+15 minutes which can be rearranged to say
1 hour+30 minutes+15 minutes that you can simplify to 1 hour+45 minutes or
1 hour and 45 minutes
