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
Darya [45]
3 years ago
12

Find the derivative of StartFraction d Over dx EndFraction Integral from 0 to x cubed e Superscript negative t Baseline font siz

e decreased by 3 dt
a. by evaluating the integral and differentiating the result.
b. by differentiating the integral directly.

Mathematics
2 answers:
Valentin [98]3 years ago
8 0

Answer: (a) e ^ -3x (b)e^-3x

Step-by-step explanation:

I suggest the equation is:

d/dx[integral (e^-3t) dt

First we integrate e^-3tdt

Integral(e ^ -3t dt) as shown in attachment and then we differentiate the result as shown in the attachment.

(b) to differentiate the integral let x = t, and substitute into the expression.

Therefore dx = dt

Hence, d/dx[integral (e ^-3x dx)] = e^-3x

Citrus2011 [14]3 years ago
3 0

Answer:

(a)  3x²e^(-x³)

(b) -3x²e^(-x³)

Step-by-step explanation:

(a)  The integral was evaluated at t = 0 to t = x³

Then the result is differentiated to obtain the result.

(b) The integral is differentiates directly, using the properties of differentiation, the chain rule precisely.

The result obtained in (a) turned out to be the negative of the result obtained in (b)

CHECK ATTACHMENT FOR THE WORKINGS.

You might be interested in
Triangle<br> a = 5, b = 10, c =
LuckyWell [14K]
2 because you have to divide
7 0
3 years ago
Read 2 more answers
How do you convert 0.6 into a fraction.
miss Akunina [59]

Answer:

since it is in the tenths place, it'd be 6/10, or 6 tenths.

7 0
3 years ago
Read 2 more answers
Using pi 3 what is the answer
konstantin123 [22]

Answer:

12mm

Step-by-step explanation:

circumference (distance around) is equal to πd.

here, if π is 3, we do 3 x the diameter, which is 4. 3 x 4 = 12mm

6 0
2 years ago
What is the length of a side of a cube with a volume of 729 m3?
vladimir2022 [97]
<span><span>the answer is a≈</span><span>9m </span></span><span>Volume <span>m3</span></span>
5 0
3 years ago
The minute hand of a clock is 6 inches long and moves from 12 to 1 ​o'clock. How far does the tip of the minute hand​ move? Expr
Strike441 [17]

Answer: 12.57

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Which of the following is a solution of x^2 + 2x + 8?
    6·1 answer
  • Can someone please help me
    14·1 answer
  • Four identical rectangles form the square. What is the perimeter of the square, if the perimeter of each rectangle is 40 inches?
    8·1 answer
  • A circle has an area of 81pi square units. What is the diameter of the circle
    5·2 answers
  • Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x-7)
    7·1 answer
  • Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?
    11·2 answers
  • 2. The picture shows a feeding trough that is shaped like a right prism. (a) The top of the feeding trough is open so that anima
    12·1 answer
  • 10 is what percent of 625
    9·2 answers
  • A patio is to be made in the shape of an isosceles triangle as shown.
    13·1 answer
  • When Brandon went bowling, it cost $4.95 per game, plus a one-time fee to rent the shoes. Brandon played 5
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!