Question

is this true or false?

Answer 1

Question?

Answer 2

@Directrix @eliassaab @l

Answer 3

@Michele_Laino

Answer 4

@cwrw238

Answer 5

you need to differentiate twice - use the product rule

Answer 6

if u and v are functions of x then

d(uv)/dx = u dv/dx + v du/dx

Answer 7

please apply the rule that @cwrw238 wrote, in order to calculate the first derivative!
@familyguymath

Answer 8

okat so what i got for the first derivative was (x^2)(-sinx) + (cosx)(2x)

Answer 9

according to the product rule

Answer 10

yes thats correct

Answer 11

now apply the product again to each part

Answer 12

then after this i knew that i had to find the second derivative
so for each of the following parts (part a and part b) i knew i was going to have to apply the product rule to each part which i did and i got

Answer 13

[(x^2)(cosx) + (sinx)(2x)] + [(cosx)(2) + (2x)(-sinx)]

Answer 14

the first part is wrong its -x^2 (cos x)

Answer 15

and second part is - 2x sinx

Answer 16

yah i just checked my work and i realizied tht

Answer 17

sorry so when simplifying the correct numbers it is true
via [(x^2)(-cosx) + (-sinx)(2x)] + [(cosx)(2) + (2x)(-sinx)]

Answer 18

yes

Answer 19

thanks for the help :)

Answer 20

yw