# Definition of Derivative...2

Discussion in 'Calculus' started by nycmathguy, Jun 12, 2022.

1. ### nycmathguy

Joined:
Jun 27, 2021
Messages:
5,386
422
Calculus
Section 2.8

nycmathguy, Jun 12, 2022
2. ### MathLover1

Joined:
Jun 27, 2021
Messages:
2,989
2,884

still ask you to state the domain of the function and the domain of its derivative

MathLover1, Jun 12, 2022
nycmathguy likes this.
3. ### nycmathguy

Joined:
Jun 27, 2021
Messages:
5,386
422

nycmathguy, Jun 12, 2022
4. ### MathLover1

Joined:
Jun 27, 2021
Messages:
2,989
2,884
correct

MathLover1, Jun 13, 2022
nycmathguy likes this.
5. ### nycmathguy

Joined:
Jun 27, 2021
Messages:
5,386
422
Thank you. How is the range found with and without a graph?

nycmathguy, Jun 13, 2022
6. ### MathLover1

Joined:
Jun 27, 2021
Messages:
2,989
2,884
26.

f(t)=t^3-5t+1

range:
R (all real numbers)

f'(t)=3t^2-5
range:
{f element R : f>=-5}

28.
f(v)=v/(v+2)

range :

range:
{y element R : y>0} (all positive real numbers)

MathLover1, Jun 13, 2022
nycmathguy likes this.
7. ### nycmathguy

Joined:
Jun 27, 2021
Messages:
5,386
422
No image in your reply. By the way, I posted enough questions in two forums other than Calculus for you to play with during the week. Enjoy. Please, follow my directions.

nycmathguy, Jun 13, 2022
8. ### MathLover1

Joined:
Jun 27, 2021
Messages:
2,989
2,884
for 28 image was
{f element R : f ≠ 1 }

MathLover1, Jun 13, 2022
nycmathguy likes this.

Joined:
Jun 27, 2021
Messages:
5,386