Valishati
Valishati Valishati
  • 25-05-2020
  • Mathematics
contestada

Suppose f(x)= INT(1,x^2) ((sin(t))/t)dt. What is f'(x)?

Suppose fx INT1x2 sinttdt What is fx class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 31-05-2020

Answer:

  see below

Step-by-step explanation:

The fundamental rule of calculus tells you that for ...

  [tex]\displaystyle f(x)=\int^{a(x)}_b {u(t)} \, dt \\\\f'(x)=u(a(x))a'(x)-u(b(x))b'(x)[/tex]

Then, for the specific case in this problem, we have ...

  a(x) = x^2; a'(x) = 2x

  b(x) = 1; b'(x) = 0

  f'(x) = sin(x^2)/x^2·(2x)

  f'(x) = 2sin(x^2)/x . . . . . matches choice D

Ver imagen sqdancefan
Answer Link

Otras preguntas

What were the two main reasons Spain sent expeditions to the Americas?
Write sin3xCos2x + cos3xsin2x as a single trigonometric function
Name two modern technologies that help us to monitor cyclones.
Two angles are complementary. They have measures of (7x + 2)° and (3x – 2)°, respectively. What is the value of x?18090910
what skills do strong academic writers possess
what are light years actually? answer in brief
Which is the number, which when squared and added to 12 becomes seven times its value ?
Whats the equivalent fraction to 11/17
What is the tenth term in the sequence 5,8,11,14...?A. 29B.32C. 35D. 38
What ship did Christopher Columbus ride in?