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
Vilka [71]
2 years ago
5

I need some help with this calculus 1 question.

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
3 0

Answer:

(a) f'(1)=-4

(b) y+4x-4=0

Step-by-step explanation:

<u>Tangent Line of a Function</u>

Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.

We are given

y=x-x^5

The derivative is

y'=1-5x^4

(a) The slope of the tangent line at (1,0) is

f'(1)=1-5\cdot 1^4=-4

f'(1)=-4

(b) The equation of the tangent line can be found with the general formula of the line:

y-y_o=m(x-x_o)

Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus

y-0=-4(x-1)

Or, equivalently

y+4x-4=0

You might be interested in
Solve the equation<br> z/6 = 1/6<br><br>A. z= -36<br>B. z= 0<br>C. z= 1<br>D. z= 36
Elan Coil [88]
B                                                                                          B               B

B is the correct answer



3 0
2 years ago
Sara’s teacher gave her class 10 quizzes, each worth 30 marks. Sara’s marks on the test are given below.
leonid [27]

Answer:

The mean is 6.6

The median is 16

mode is 18

Step-by-step explanation:

I'm not sure if this is tight but yeah:)

4 0
3 years ago
The freezing temperature of nitrogen is -210°C, and the freezing temperature of oxygen is -223°C. Which temperature is colder?
olasank [31]

Answer:

-223

Step-by-step explanation:

-210<-223

4 0
2 years ago
Read 2 more answers
A chef uses 2 tablespoons of olive oil for every 3 tablespoons of butter. How much olive oil is needed for each tablespoon of bu
BigorU [14]

Answer: 2/3

Step-by-step explanation: You take the 2 and divided it by 3 but your going to get a long decimal so you can put it into a fraction of 2/3

6 0
3 years ago
Read 2 more answers
A line passes through (-1,5) and (1,3) what is the equation of the line
chubhunter [2.5K]

Answer:

y = -x + 4

Step-by-step explanation:

(-1,5)...x1 = -1 and y1 = 5

(1,3)....x2 = 1 and y2 = 3

slope(m) = (y2 - y1) / (x2 - x1) = (3 - 5) / (1 - (-1) = -2 / (1 + 1) = -2/2 = -1

y = mx + b

slope(m) = -1

u can use either of ur points...I will use (1,3)...x = 1 and y = 3

now we sub and find b, the y int

3 = -1(1) + b

3 = -1 + b

3 + 1 = b

4 = b

ur equation is : y = -x + 4 <===

4 0
3 years ago
Other questions:
  • Anybody good at solving solutions?? Need done ASAP
    9·1 answer
  • The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 14 to 35 mph and
    7·1 answer
  • 8 plates cost 48 dollars, how much do 20 plates cost?
    14·1 answer
  • Solve for AB. Round your answer to the nearest tenth if necessary.
    10·2 answers
  • I need resolve this 5+4-5+3*8/2=???
    6·2 answers
  • Pls help I will mark brainliest
    10·2 answers
  • PLz help i need help im helping my brother with his stuff becuase i owe him :(
    10·2 answers
  • I need help plz!!?!???!?
    10·1 answer
  • Choose all the numbers that are common multiples of 3 and 12.
    9·1 answer
  • - 1/6 [ 3 - 15 (1/2)2]
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!