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
andre [41]
3 years ago
6

Find Derivative (root3(6x^2))

Mathematics
2 answers:
mars1129 [50]3 years ago
7 0
This is the same as saying (6x^2)^3. We can take the derivative using the chain rule. With the chain rule, you multiply by the power, decrease the power by 1, and multiply by the derivative of the inside.

3(6x^2)^2*12x
or
36x*(6x^2)^2

Hope this helps<span />
trapecia [35]3 years ago
5 0
\bf \sqrt[3]{6x^2}\implies (6x^2)^{\frac{1}{3}}\implies 6^{\frac{1}{3}}x^{\frac{2}{3}}\\\\&#10;-----------------------------\\\\&#10;\cfrac{dy}{dx}=6^{\frac{1}{3}}\cdot \cfrac{2}{3}x^{\frac{2}{3}-1}\implies 6^{\frac{1}{3}}\cdot \cfrac{2}{3}x^{-\frac{1}{3}}\implies 6^{\frac{1}{3}}\cdot \cfrac{2}{3}\cdot \cfrac{1}{x^{\frac{1}{3}}}&#10;\\\\\\&#10;

\bf \cfrac{dy}{dx}=6^{\frac{1}{3}}\cdot \cfrac{2}{3x^{\frac{1}{3}}}\implies \cfrac{2\cdot 6^{\frac{1}{3}}}{3x^{\frac{1}{3}}}\implies \cfrac{2\sqrt[3]{6}}{3\sqrt[3]{x}}\implies \cfrac{2}{3}\sqrt[3]{\cfrac{6}{x}}
You might be interested in
The unit rate for number 9 which states: You create 15 centerpieces for a party in 5 hours is 5. Is this true or false.
alekssr [168]
False because it’s not correct it’s a false statement because (again)…

7 0
2 years ago
A rectangular room room with a length of 16 feet, a width of 14 feet, and a height of 10 feet. What is the volume of the room
patriot [66]
V=LWH (multiply the length, width and height)
So plug in the numbers,  V=6x14x10=840 ft^3 (feet cube)
7 0
3 years ago
2/3 of a plot is garden.1/5 of the garden is lawn find the fraction of the plot of land that is lawn
Marina CMI [18]

Answer:

2/3 + 1/5 = 13/15

Step-by-step explanation:

5 0
3 years ago
Wht does ^ this mean? ​
Ainat [17]

Answer:

Concept: Analysis

  1. The carrot means an exponent.
  2. {x}^{2}
  3. It means something like x^2
8 0
2 years ago
James used base-ten to show that 40 is one-tenth of 400. Explain your reasoning
Elanso [62]
Cause 400 divided by 10 is 40

3 0
2 years ago
Other questions:
  • What is the distance between points M and N?
    12·2 answers
  • A car loses 15% of its original value each year. After one year, a car has a value of $13,600. What is the original value of the
    6·1 answer
  • Simplify (3^3 x 5^3)^-2
    12·1 answer
  • 5+2-9-4+7 <br> I know to use pemdas but I get two different answers
    8·1 answer
  • What is 25 miles/hours equal to feet/seconds
    7·1 answer
  • What is 5.2E11 in scientific notation
    13·2 answers
  • What expression is equivalent to 24x - 36 ?
    11·1 answer
  • True OR False<br> The lengths 45, 42, and 15 make a right triangle.
    7·1 answer
  • 4. When solving an equation, Henry gets to
    12·1 answer
  • Dad has 15 oak and maple boards from the lumber yard. each oak board is 6 centimetres thick. each maple board is 9 centimetres t
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!