Given:
Consider the expression is
To find:
The simplified form of the given expression.
Solution:
We have,
Using the properties of exponents, we get
![\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5Cright%5D)
Therefore, the simplified form of the given expression is 
.
Solution is : <u>2p</u> .
Answer:
We can find if a critical point is a local minimum or maximum by looking at the second derivatives.
Step-by-step explanation:
If you take the first derivative, you will find the slope at the given point, which if it is a minimum or a maximum will be 0.
Then we take the second derivative. If that number is a positive number, then we have a local minimum. If it is a negative number, then it is a local maximum.
Answer:
The value of g(−2) is smaller than the value of g(4).
Step-by-step explanation:
To solve this, simply plug in the values in the given equation g(x)=8x-2.
g(-2)=8(-2)-2 -----> -18
g(4)=8(4)-2 ------> 30
here it is obvious that -18 is smaller than 30, therefore the value of g(−2) is smaller than the value of g(4).
