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
Fantom [35]
3 years ago
9

PLEASE HELP!!! CALCULUS ASSIGNMENT

Mathematics
2 answers:
Serga [27]3 years ago
3 0

Answer:

(d)  \displaystyle 12x^3 - 15x^2 + 2

General Formulas and Concepts:

<u>Algebra I</u>

  • Functions
  • Function Notation

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative Property [Addition/Subtraction]:                                                                \displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = 3x^4 - 5x^3 + 2x - 1

<u>Step 2: Differentiate</u>

  1. Basic Power Rule:                                                                                            \displaystyle y' = 4(3x^{4 - 1}) - 3(5x^{3 - 1}) + 2x^{1 - 1} - 0
  2. Simplify:                                                                                                             \displaystyle y' = 4(3x^3) - 3(5x^2) + 2
  3. Multiply:                                                                                                             \displaystyle y' = 12x^3 - 15x^2 + 2

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

WITCHER [35]3 years ago
3 0

Answer:

( d ) 12x³ - 15x² + 2

Step-by-step explanation:

y = 3x⁴ - 5x³ + 2x - 1

  • The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of axⁿ is nax^{n-1}.

\small \sf \: y = 4\times 3x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1}

  • multiply 4 × 3.

\small \sf \: y = 12x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1}

  • Multiply 3 × -5

\small \sf \: y = 12x^{3}-15x^{3-1}+2x^{1-1}

  • subtract the exponents

y = 12x³ - 15x² + 2⁰

  • For any term t except 0, t⁰ = 1.

y = 12x³ - 15x² + 2 × 1

y = 12x³ - 15x² + 2

Hence, option ( d ) is the correct answer.

You might be interested in
What is the prime factorizations for 1050
san4es73 [151]
<span> The prime faactorization for 1050 is: 2*3*5*5*7=1050 </span>
8 0
4 years ago
The length of a bridge is 130m. The length of each of roberts paces is 70cm what is the minimum number of the full paces that it
EleoNora [17]
Well if he wants to enjoy the view maybe 30min or so
4 0
3 years ago
Jennifer had $24 to spend on five pens. After buying them she had $14. How much did each pen cost?
Strike441 [17]

Answer:

Each pen costed $5.

Step-by-step explanation:

Simple, the coefficient (5) is the cost for one of the pens & the x is the amount of pens bought.

Hope this helped & please give me the brainliest if it did!

4 0
2 years ago
2. A plane traveled from California and back. It took one hour longer on the way out than it
balu736 [363]

Answer:

Option D is the correct answer.

Step-by-step explanation:

the time out.

Time taken for back = t-1

We have plane's average speed out was 300 mph and average speed on the way back was 350 mph.

That is

           

Dividing both equations

             

Time taken for back = t-1 = 7-1 = 6 hours.

Read more on Brainly.com - brainly.com/question/1955818#readmore

8 0
3 years ago
6/7 times 4/5 times 35
scoray [572]
That is so easy :)
the answer is 24
8 0
3 years ago
Read 2 more answers
Other questions:
  • 8 points and brainliest answer if you get it right
    15·1 answer
  • N ΔXYZ, XY = 6.32, YZ = 5.83, and XZ = 11.05. What is m∠Y, correct to one decimal place?
    8·1 answer
  • Help!! Let
    14·1 answer
  • Can someone please help me? i am having a bit of trouble /:
    7·2 answers
  • A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location. At its Milford location, the
    14·1 answer
  • I WILL GIVE 20 POINTS! Solve for x.
    5·1 answer
  • Which of the following does NOT show a rate of 12 text messages per hour?
    12·1 answer
  • Con 5,2l tenemos para 100km, con 60l para cuantos km tenemos?
    7·1 answer
  • Match the graph
    10·1 answer
  • Which expression is equivalent to 3^0x3^-3?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!