Definition of Derivative...2

[nycmathguy]

Calculus
Section 2.8

 

[MathLover1]

answers for derivatives are correct

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

 

[nycmathguy]

answers for derivatives are correct

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

 

[MathLover1]

correct

 

[nycmathguy]

correct

Thank you. How is the range found with and without a graph?

 

[MathLover1]

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)

 

[nycmathguy]

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 :

View attachment 3520

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

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.

 

[MathLover1]

for 28 image was
{f element R : f ≠ 1 }

 

[nycmathguy]

for 28 image was
{f element R : f ≠ 1 }

Ok. Check out the Geometry and Trigonometry forum for new threads.