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
pantera1 [17]
3 years ago
15

Find the derivative of the function. 3 f(x) = 4x + 20x4 f'(x)=

Mathematics
1 answer:
andreev551 [17]3 years ago
7 0

Answer:

f'(x) = 4 + 80x³

General Formulas and Concepts:

<u>Calculus</u>

The definition of a derivative is the slope of the tangent line.

We can take the derivative/distribute it over addition and subtraction.

Basic Power Rule:  

  • f(x) = cxⁿ  
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define function</u>

f(x) = 4x + 20x⁴

<u>Step 2: Find 1st derivative</u>

  1. Basic Power Rule (1st term):                    f'(x) = 4 · 1x¹⁻¹ + 20x⁴
  2. Basic Power Rule (2nd term):                  f'(x) = 4 · 1x¹⁻¹ + 20 · 4x⁴⁻¹
  3. Simplify:                                                    f'(x) = 4 + 80x³
You might be interested in
3x + 2 = 14<br> Which number makes the equation true?<br><br> 1<br> 2<br> 2<br> 4<br> 6
mrs_skeptik [129]

Answer:

x=4

Step-by-step explanation:

3x+2=14\\\\3x+2-2=14-2\\\\3x=12\\\\\displaystyle \frac{3x}{3}=\frac{12}{3}\\ \\ x=4

7 0
2 years ago
Plz answer this for 10 points
ki77a [65]
domain refers to the X values so option A would be correct :)
4 0
3 years ago
PLS BELP IM JUST CONFUSED
Ganezh [65]

Answer:

(0, 3)

Step-by-step explanation:

The y-intercept of any function can generally be defined as: (0, f(0)), since the y-intercept is when the function crosses the y-axis.

Anywhere on the y-axis, the x-value = 0, so the x value of the y-intercept will always be 0, and the y value is f(0), since x=0.

By looking at the graph it appears to intercept the y-axis at (0, 3) which should be the answer

4 0
1 year ago
During the summer months, science center tickets are 3 for $36.75 and zoo tickets are 4 for $51. How much will a group of 12 stu
Tatiana [17]

Answer:

$6

Step-by-step explanation:

Step 1:

36.75 × 4 = 147

Step 2:

51 × 3 = 153

Step 3:

153 - 147 = 6

The group of 12 students will save $6 by choosing the Science Center.

5 0
3 years ago
Read 2 more answers
Guy what 5x4 please help me
Archy [21]

Answer:

20

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify 6/10 + 8.75?
    13·2 answers
  • G(x)=-2/5x-2 inverse function with steps please​
    7·1 answer
  • 783 cm equals how many meters
    6·2 answers
  • What is the smallest fredholl number that is prime
    12·2 answers
  • Is my answer correct? If not, please tell me the correct answer and explain. Thanks in advance!
    11·1 answer
  • Silvia asked 180 students what their favorite flavor of ice cream was. Exactly 55% of
    12·1 answer
  • PLEASE BE RIGHT AND SOLVE
    9·2 answers
  • Find the value of x when y = 8.<br> X = ?
    9·1 answer
  • Draw the region that satisfies all three of the inequalities; <br>x &lt; 3, y &gt; 2, y &lt; 2x+3​
    11·1 answer
  • Consider the first four terms of the sequence below. -3, -12, -48, -192, . . . what is the 8th term of this sequence?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!