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
allsm [11]
2 years ago
11

Differentiate with product rule​

Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0

Answer:

{ \boxed{ \bf{ \frac{dy}{dx} = v \frac{du}{dx}  + u \frac{dv}{dx}  }}}

u = ( x + 1 )

v = ( 2x + 5 )²

{ \tt{ \frac{dy}{dx}  =  {(2x + 5) {}^{4} .(1) + (x + 1).(2)(2x + 5) {}^{3} } }} \\ =  { \tt{ {(2x + 5)}^{3} ((2x + 5) +(2x + 2) }} \\  = { \tt{ \frac{dy}{dx} =  {(2x + 5)}^{3}(4x + 7)  }}

You might be interested in
What is the area of this figure?<br><br> Enter your answer in the box.<br><br><br> []m²
tiny-mole [99]

Ans: 81 square metre

4 0
3 years ago
Read 2 more answers
Which statement describes the effect on the parabola f(x)=2x•x-5x+3 when changed to f (x)= 2x•2-5x+1
o-na [289]

Answer:

The parabola is translated down 2 units.

Step-by-step explanation:

You have the parabola f(x) = 2x² – 5x + 3

To change this parabola to f(x) = 2x² - 5x + 1, you must have performed the following calculation:

f(x) = 2x² – 5x + 3 -2= 2x² - 5x + 1  <u><em>Expresion A</em></u>

The algebraic expression of the parabola that results from translating the parabola f (x) = ax² horizontally and vertically is g (x) = a(x - p)² + q, translating in the same way as the function.

  • If p> 0 and q> 0, the parabola shifts p units to the right and q units up.
  • If p> 0 and q <0, the parabola shifts p units to the right and q units down.
  • If p <0 and q> 0, the parabola shifts p units to the left and q units up.
  • If p <0 and q <0, the parabola shifts p units to the left and q units down.

In the expression A it can be observed then that q = -2 and is less than 0. So the displacement is down 2 units.

This can also be seen graphically, in the attached image, where the red parabola corresponds to the function f(x) = 2x² – 5x + 3 and the blue one to the parabola f(x) = 2x² – 5x + 1.

In conclusion, <u><em>the parabola is translated down 2 units.</em></u>

3 0
3 years ago
one apartment costs $1000 a month with deposit off $1500. Another apartment costs 1175 a month with a 1200 deposit. how many mon
kkurt [141]
3 or 4 because if you add 1000 and 1500,1175 and 1200.

8 0
3 years ago
Y=1/4 (x+2)(x – 6
gladu [14]
I have no idea I’m answering this because I need to ask more questions
4 0
2 years ago
If 1 is 3 and 2 is 3 and 3 is 5 what is 4 # riddles
Helga [31]

Answer:

4 is 5

Hope it's right :))

7 0
3 years ago
Other questions:
  • What is the prime factorization of 120?
    13·1 answer
  • Henry collected data on the favorite type of food of the students of two grades. The table below shows the relative frequencies
    13·2 answers
  • What is the answer please im so anyyoned its inquatiltys and greater than less than please help
    5·1 answer
  • Solve for K, the constant of variation, in a joint variation problem where y=520, x=5, z=6.5. Solution is?
    14·1 answer
  • Which of these transformations appear to be a rigid motion? <br> Please help me!!!!!
    11·2 answers
  • Us eats about 17 gallons of popcorn each year.how many gallons of popcorn does the average person eat in 12 years?
    13·1 answer
  • 13 POINTS SHOW WORK PLEASE
    14·1 answer
  • 100.3 Dekameter=10.03 hectometer
    5·2 answers
  • The question is in the screenshot attached. Thank you!
    6·1 answer
  • Please help me...?<br><br> i'll give brainliest to correct answer! :D
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!