Question

find f''(t) of f(t)= (e^2t i +4tk) X (4t^2j+e^-2t k)
X stands for cross product

Answer 1

product rule is the same for dot or cross

Answer 2

just make sure you cross the terms and not dot them

Answer 3

f(t)= (e^2t i +4tk) X (4t^2j+e^-2t k)

f'(t)= (e^2t i +4t k)' x (4t^2j+e^-2t k)
+ (e^2t i +4t k) x (4t^2j+e^-2t k)'

f'(t)= (2e^2t i +4 k) x (4t^2j+e^-2t k)
+ (e^2t i +4t k) x (8t j -2e^-2t k)

Answer 4

f''(t)= (2e^2t i +4 k)' x (4t^2j+e^-2t k)
+(2e^2t i +4 k) x (4t^2j+e^-2t k)'
+ (e^2t i +4t k)' x (8t j -2e^-2t k)
+ (e^2t i +4t k) x (8t j -2e^-2t k)'




f''(t)= (4e^2t i) x (4t^2j+e^-2t k)
+(2e^2t i +4 k) x (8t^ j -2e^-2t k)
+ (2e^2t i +4 k) x (8t j -2e^-2t k)
+ (e^2t i +4t k) x (8 j +4e^-2t k)

Answer 5

thank you :)

Answer 6

youre welcome :)

Answer 7

okay so i have to cross all of these and then combine the similar terms right?