Find an equation for the horizontal tangent to the curve y=x-3root x (1 Viewer)

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

159
0
Hi

a ) find an equation for the horizontal tangent to the curve y=x-3root x
b) What is range of values of values of curve's slope ?
c ) What is range of values of curve ?

number a already I solved but my queation now in b and c

-----

I try to solve
b)
to get curve's slope must derivatives
range of values of values of curve's slope is ( - infinity , 1 ]
becuse when we put ( 0 ) in curve's slope It will comw 1


c ) did here put zero in y=x-3root x


please help me .
 
31,919
3,891
Hi

a ) find an equation for the horizontal tangent to the curve y=x-3root x
What does 3root x mean?

Does it mean [tex]\sqrt[3]{x}[/tex]

or [tex]3\sqrt{x}[/tex]
?
b) What is range of values of values of curve's slope ?
c ) What is range of values of curve ?

number a already I solved but my queation now in b and c

-----

I try to solve
b)
to get curve's slope must derivatives
range of values of values of curve's slope is ( - infinity , 1 ]
becuse when we put ( 0 ) in curve's slope It will comw 1
What did you get for the derivative of this function?
c ) did here put zero in y=x-3root x


please help me .
 
159
0
I mean [tex]3\sqrt{x}[/tex]
 
159
0
I get for the derivative of this function?

3 X 1/2rootx

= 3/2rootx
 
31,919
3,891
I get for the derivative of this function?

3 X 1/2rootx

= 3/2rootx
No, that's not the derivative of y = x - 3x1/2
 

The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top