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
zzz [600]
2 years ago
5

Given f(x)=-2x^3 + 3x^2 , find the equation of that tangent line of f at the point where x=2.

Mathematics
1 answer:
trapecia [35]2 years ago
5 0

Step 1: Find f'(x):

f'(x) = -6x^2 + 6x

Step 2: Evaluate f'(2) to find the slope of the tangent line at x=2:

f'(2) = -6(2)^2 + 6(2) = -24 + 12 = -12

Step 3: Find f(2), so you have a point on y=f(x):

f(2) = -2·(2)^3 + 3·(2)^2 = -16 + 12 = -4

So, you have the point (2,-4) and the slope of -12.

Step 4: Find the equation of your tangent line:

Using point-slope form you'd have: y + 4 = -12 (x - 2)

That is the equation of the tangent line.

If your teacher is picky and wants slope-intercept, solve that for y to get:

y = -12 x + 20

You might be interested in
The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is​
Rasek [7]

Answer:

The other rational number in the operation given is:

  • <u>6/5</u>

Step-by-step explanation:

To obtain the number in the operation given, we're gonna represent the operation:

  • r * 15/14 = 9/7

Where:

  • r = the other rational number.

Now we are going to solve r to identify its value in numbers:

  • r * 15/14 = 9/7
  • r = \frac{\frac{9}{7} }{\frac{15}{14}} (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)
  • r = \frac{6}{5}

As you can see, when we operate, <u>the result is 6/5</u>, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:

  • r * 15/14 = 9/7
  • 6/5 * 15/14 = 9/7
  • 9/7 = 9/7

In this form, we know the result is correct.

8 0
3 years ago
30 POINTS!!!Which of the following shows the polynomial below written in descending
Zigmanuir [339]

Answer:

d

Step-by-step explanation:

it should be the one with the greatest power to the lowest power If I remember correctly.

5 0
3 years ago
Read 2 more answers
Please help with this question
Semenov [28]

Answer:

Line BC

Step-by-step explanation:

Opposite means whatever is exactly parallel to angle a.

In this case, we notice BC to satisfy that rule.

Hope this helps.

Good Luck

5 0
3 years ago
Read 2 more answers
CAN SOMEONE HELP ME ANSWER THIS ​
jeka57 [31]

Answer:

It is 1/6

Step-by-step explanation:

This is because there are 6 sides to a dice and the number 3 is only on one of those sides. So, it is 1 in 6 or 1/6

8 0
2 years ago
Read 2 more answers
What is 222 times 5<br><br> no explanation please
iragen [17]

Answer:

1110

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • (-root3a-a)² <br>please solve this send answer quickly <br>As soon as possible ​
    7·1 answer
  • What is 15x-4+20 into a decimal
    8·1 answer
  • How do you convert 2/30 into a percent ?
    8·2 answers
  • What's 92010÷7X01910​
    6·1 answer
  • Pleaseee help me this is my last question
    15·2 answers
  • Rob walked 2/10 block. Drew walked 5/10 block. Write a comparison for the distance Rob and Drew each walked.
    12·2 answers
  • PLEASE HELP ME WITH THIS QUESTION!!
    5·1 answer
  • This data gives the average number of hours of exercise each week for different students.
    7·1 answer
  • Please help and show work for this ​
    8·1 answer
  • Parallelogram ABCD is transformed to create parallelogram A'B'C'D'. Which shows the sequence of transformations needed to create
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!