Use the quotient rule to prove that the power rule is valid for negative whole number powers.

Mathematics

1 answer:

-BARSIC- [3]2 years ago

6 0

Answer:

ddx(x−m)=−mx−m−1

That is, ddx(x−m)=−mx−m−1. where m is a positive integer.

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Which of the following numbers is irrational?

baherus [9]

An irrational number is one that can’t be expressed as a simple fraction.

For instance, the first few digits of the square root of two is written as 1.414213562373095... The digits keep going and cannot be expressed as a fraction. But think of 0.33333... That can easily be written as one-third. The distinguishing feature is that there’s no pattern in the digits for the square root of two.

The first two options are integer fractions. We rule those out immediately. The square root of four is tempting, but realize that it is just equal to two. We come to π (pi).

Arguably the most famous irrational number is π, which starts off as 3.14159265358979... Here, there is again no pattern and the digits extend forever. This meets our definition of our irrational.

8 0

3 years ago

Read 2 more answers

What is 1/2 + 1/3 + 1/4 - (.2 +.3 +.4)? Express your solution as a simplified fraction.

Nesterboy [21]

Answer:

Step-by-step explanation:

1/2+1/3+1/4 - 0.9

0.9 = 9/10

So, 1/2+1/3+1/4+9/10

The LCD is 60:

30/60+20/60+15/60+54/60 = 120/60