1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kykrilka [37]
3 years ago
9

Find the first derivative?

Mathematics
1 answer:
professor190 [17]3 years ago
8 0
You could do the question the way it is  written, but it is far easier to bring the negative power up to the numerator.

y= x^2 - 3. The derivative of that is
dy/dx = 2x The three is a constant and is always dropped when a derivative is taken
d(-3)/dx = 0

If you are a purist and want to solve the question the way it is written, you could do it this way.

dy/dx = d(1)/dx x^-2 - d(x^-2)/dx * 1
             ======================                    
                          (x^-2)^2

dy/dx =  - (-2 x^ - 3) / x^-4

dy/dx = 2 x^-3 * x^4
dy/dx = 2 x^(-3 + 4)
dy/dx = 2x ^ 1
dy/dx = 2x <<<<< answer
You might be interested in
Which of the following pairs of numbers contain like fractions?
saveliy_v [14]
Like fractions are fractions that have the same denominator. In option D, both denominators are 7. Therefore, they are like fractions.
7 0
3 years ago
Read 2 more answers
Solve for x
alexira [117]

Check the picture below.

7 0
3 years ago
What is the area of this figure?
irakobra [83]
40+25+25+70=160 Hope this helps! :)

6 0
3 years ago
Read 2 more answers
Use greatest common factor and distributive property to write equivalent expressions 5x+20y
leonid [27]

Answer:

I think it is 5 if I did it right

S

4 0
2 years ago
A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and
Lunna [17]

Answer:

C=27inch\ by\ 27inch

Step-by-step explanation:

Squares h=4inch

Volume v=1444in^3

Generally the equation for Volume of box is mathematically given by

 V=l^2h

 1444=l^2*4

 l^2=361

 l=19in

Since

Length of cardboard is

 l_c=19+4+4

 l_c=27in

Therefore

Dimensions of the piece of cardboard is

C=27inch\ by\ 27inch

7 0
2 years ago
Other questions:
  • Determine translation
    14·1 answer
  • Rewrite the form In exponential form:<br> Log100 = x
    11·1 answer
  • What’s the exponent form of 2*2*5*5
    6·1 answer
  • What is the measure of ∠R?
    13·2 answers
  • I need help with this. Please help!
    11·1 answer
  • analyze this situation and determine how much cookie dough is "wasted" when 3-inch cookies are cut. then have each team member c
    6·1 answer
  • -3,1,5,13 find the sequence
    15·1 answer
  • Find each product !!
    6·1 answer
  • 70% of 30 is<br>least in between <br>gereatest PLEASE HELP​
    7·1 answer
  • The equation for line G is given by 5y = -2x - 20. Suppose line G is parallel to line R, and line E is perpendicular to line G.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!