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.
g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.
<h3>
Which statement compares the graph of the two functions?</h3>
First, a vertical shift of N units is written as:
g(x) = f(x) + N
- if N > 0 the shift is upwards.
- If N < 0 the shift is downwards.
A horizontal shift of N units is written as:
g(x) = f(x + N).
- if N < 0, the shift is to the right.
- If N > 0, the shift is to the left.
In this case, we have:
g(x) = f(x + 8) + 4
So g(x) is a shift of 8 units to the left and 4 units of f(x), then the correct statement is B.
If you want to learn more about translations:
brainly.com/question/24850937
#SPJ1
360 outfits i think i wouldnt take that as fact tho
Hope this helps, 49ounces --> 49/20 *100 (sry for the bad handwriting)
Marco is 10 times greater than salima
