Question

d^2y/dx^2 = (dy dx)^2 true or false

Answer 1

You tell me.

Answer 2

i think its false

Answer 3

Show me why.

Answer 4

because that would imply that the second deriv is equal to the first deriv squared and that is not always the case

Answer 5

does that make sense?

Answer 6

Show me a mathematical illustration with an example to support your claim.

Answer 7

like for example take 2x^3-1

the deriv is 6x^2

the second derivative 12x

and 12x does not equal (6x^2)^2

Answer 8

Good job.

Answer 9

thank you :)

Answer 10

You did all the work. Didn't need my help.

Answer 11

that wasnt the problem tho
im having trouble with an absolute value one

Answer 12

d/dx |x2 + x| = |2x + 1|

Answer 13

now.... if i am thinking on the right track the left side of the equation would be x^2 +x over the absolute value of the function times the deriv which is 2x

Answer 14

but i dont know how to calculate the problem.. so i might not even be on the right track

Answer 15

Not really.

Answer 16

You have to set the conditions for the existence of the abs function. You need to make it piecewise.