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:
hour= 1.25
MINUTES ANSWER= 75 minutes
Step-by-step explanation:
hope that helps>3
Since AB=AD, the triangle on the left is isosceles and has two 35 degree angles. Since the sum of all the interior angles is 180 deg,
x = 180 deg - 2(35 deg) = 110 deg (answer)
Answer: x =6
Step-by-step explanation:

- Simplify :- 1 + - w² + 9w.


Quadratic polynomial can be factored using the transformation
, where
are the solutions of the quadratic equation
.

All equations of the form
can be solved using the quadratic formula:
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

Square 9.

Multiply -4 times -1.

Add 81 to 4.

Multiply 2 times -1.

Now solve the equation
when ± is plus. Add -9 to
.

Divide -9+
by -2.

Now solve the equation
when ± is minus. Subtract
from -9.

Divide
by -2.

Factor the original expression using
. Substitute
for
and
for
.

<h3>NOTE :-</h3>
Well, in the picture you inserted it says that it's 8th grade mathematics. So, I'm not sure if you have learned simplification with the help of biquadratic formula. So, if you want the answer simplified only according to like terms then your answer will be ⇨

This cannot be further simplified as there are no more like terms (you can use the biquadratic formula if you've learned it.)