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
blsea [12.9K]
3 years ago
15

What is the derivative of y with respect to x if y = 2/X4

Mathematics
1 answer:
zepelin [54]3 years ago
6 0
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
You might be interested in
the code contains four digits to the right of the decimal, the digit in the hundreds place, the digit in the tenths place is an
grigory [225]

to hi hello how to help you out front of your house at the

4 0
2 years ago
You deposit $500 in an account that pays 8% annual interest compounded yearly. What is the account balance after six years? Form
Diano4ka-milaya [45]
Principal, P = $500
r =8% = 0.08, the interest rate
n = 1, the compounding interval
t = 6 years

The value after 6 years is
A = P(1 +  \frac{r}{n} )^{nt}
That is,
A = $500*(1 + 0.08)⁶ = $793.44

Answer: $793.44

7 0
3 years ago
3/11+22/41= simplified version
luda_lava [24]
First do 41 divided by 11, which equals 3.73
then multiply 11 by that and then you get 41 as the same denominator, next multiply 3 by 3.73 which equals 11.18
4 0
3 years ago
PLEASE HELP!! I will make you brainiest and give you 5 stars if you help me!
Mrac [35]

Answer:

D

Step-by-step explanation:

You multiply each coordinate by 1/4 to get the new coordinates of the triangle

I hope this helps you

6 0
3 years ago
a survey was conducted to determine the most popular browerser.if 2000 people were surveyed how many of them used internet explo
erik [133]
Cannot be determined with this information!

7 0
3 years ago
Other questions:
  • Directions: 1. Assume each person is following Dave’s advice of investing 15% of his or her annual household income.
    6·1 answer
  • Evaluate the expression.<br> 38 +16 - 12 - 2 - (302)<br> Enter your answer in the box.
    12·1 answer
  • Which symbol correctly compares these fractions? 13 20 ___ 7 10
    14·2 answers
  • karen read 20 pages of her book in half an hour.if she read for 3 hours at that same rate about how many pages of her book can k
    5·1 answer
  • Thee population of a town, P(t), is 2000 in the year 2010. Every year, it increases by 1.5%. Write an equation for the populatio
    15·1 answer
  • Please help me I need help
    6·1 answer
  • Which number line best represents the solution to the inequality 3.3w - 9 &gt; -22.27
    5·2 answers
  • SOMEONE PLEASE HELP! I don’t know how to do this !
    7·1 answer
  • Maria is trying to decide which one of two winter coats she should buy. The blue coat usually costs $48 but is on sale for 25% o
    6·1 answer
  • For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!