Definition of Derivative...3

[nycmathguy]

Calculus
Section 2.8

 

[MathLover1]

correct
state the domain of the function and the domain of its derivative

 

[nycmathguy]

correct
state the domain of the function and the domain of its derivative

 

[MathLover1]

correct

 

[nycmathguy]

correct

How about the range for f(x) and f '(x)?

 

[MathLover1]

the range for:
f(x)=x^4

range:
{y element R : y>=0} (all non-negative real numbers)

and
f '(x)=4x^3

range: R (all real numbers)

 

[nycmathguy]

the range for:
f(x)=x^4

range:
{y element R : y>=0} (all non-negative real numbers)

and
f '(x)=4x^3

range: R (all real numbers)

Nicely done.