Question

find first and second derivative of t^2(t-2)

Answer 1

So have you heard of the product rule? You'll need to use that.

Answer 2

first *derivative of the second +second*derivative of the first

Answer 3

i need help on starting both derivatives

Answer 4

if you could possibly tell me how to start them

Answer 5

do you know the power rule?

Answer 6

not all too well i need a refresher

Answer 7

cool, it states that dy/dx of x^n=nx^(n-1). Do you understand the eq.?

Answer 8

well is it true that the first derivative: A'(x)= x^2(x-2)?

Answer 9

no you have to use it with the product rule. so first (x^2) times derivative of second(x-2)+second*derivative of the first (x^2)

Answer 10

so, A'(x)= (x^2)(x-2)+(x^2/2)?

Answer 11

not quite

Answer 12

im sorry about this, i just cant get this chapter right :/

Answer 13

so you have x^2 using x^n=nx^(n-1). u=you have 2x^2-1=2x

Answer 14

so then what would be the second derivative A''(x)?

Answer 15

that not even the complete first derivative :/

Answer 16

oh my bad, how do you finish? add (x-2)

Answer 17

here I'll show you

Answer 18

okay thank you

Answer 19

first is :x^2
serivative of first:2x
second is (x-2)
derivative of second is: 1

Answer 20

plugging that in to the product rule:x^2(1)+(x-2)(2x)

Answer 21

now you have to do it again but twice for each multiple

Answer 22

well actually only once for (x-2)(2x)

Answer 23

i hate to ask, but what would be the second derivative?
im still having trouble figuring it out

Answer 24

the second derivative is the derivative of the first derivative

Answer 25

Here watch this entire series it helped me get through calc one, it's long but it's worth it: http://www.youtube.com/watch?v=ay8838UZ4nM

Answer 26

so, (2x)(1)(2)= 4x?

Answer 27

not quite write out what first,second, the derivative of the first, and the derivative of the second are.

Answer 28

the (2x) and(1)?

Answer 29

fill this out for the product (x-2)(2x)
first is :
derivative of first:
second is:
derivative of second is:

Answer 30

then plug it into:first *derivative of the second +second*derivative of the first

Answer 31

ok...

Answer 32

Here its easier if you simplify x^2(1)+(x-2)(2x) into x^2+2x^2-4x

Answer 33

so you have 3x^2-4x do the power rule on that

Answer 34

could you possibly remind me of the power rule?

Answer 35

x^n=nx^(n-1)

Answer 36

so 6x-4= 2(3x-3)

Answer 37

*2(3x-2)

Answer 38

Yeah!

Answer 39

THANK YOU!

Answer 40

np :)

Answer 41

which of the two graphs would i look at to determine the concavity of the function?

Answer 42

2nd

Answer 43

thank you so much

Answer 44

np

Answer 45

also, sorry to bother you, but what is the chain rule exactly?