We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
94
3
avatar

TRUE/FALSE i need to check my work please:(((

1. If f(x) is continuous, then f(x) is differentiable. - true?

2. If f(x) is differentiable, then f() is continuous. - true?

3. The second derivative of a position function is the velocity function. - true?

4. The fourth derivative of a third degree polynomial is zero.??

5. The fourth derivative of sinx is sinx. ??

 Nov 20, 2018
 #1
avatar+18047 
+1

Egad.....that was a long time ago

I THINK:

1 is true

2  not true (I think)

3 Nope  ....FIRST derivative of position is VELOCITY....second is ACCELERATION

4 I THINK so....it would be the derivative of a constant...=0

5 I believe that is true

 Nov 20, 2018
edited by ElectricPavlov  Nov 20, 2018
 #2
avatar+99580 
+1

A long time ago for me too, EP....LOL!!

 

1 False.....the function   y = abs (x)  is continuous, but not differentiable at x = 0

 

2 True....Remember the motto..."Differentability implies Continuity....but Continuity does not imply Differentiability "

 

3 Just as EP said

 

4  Remember that we can take as many non-zero derivatives of a polynomial as its degree

For instance  x^2   ⇒  2x  ⇒ 2   ⇒ 0    [ two non-zero derivatives ]

So....just as EP said !!!

 

5  sin x   ⇒ cos x ⇒ - sin x ⇒ - cos x  ⇒ sin x    ..... true   !!!!

 

 

 

cool cool cool

 Nov 20, 2018
 #3
avatar+18047 
+1

Dang....Quasi-almost-so-close !

ElectricPavlov  Nov 20, 2018

21 Online Users