Question

y=(5x-4)^5(4-x^4)^5 differentiate the function.

Answer 1

the product rule will help alot

Answer 2

i did use the product rule. i've been stuck in this problem for a really long time

Answer 3

where are you stuck?

Answer 4

(5x-4)^5 ((-20x^3(4-x^4)^4) + (4-x^4)^5 ((25(5x-4)^4))

Answer 5

I don't know what to do next. I know im supposed to simplify it but im not getting the right answer

Answer 6

or factor it out but ugh i cant get it right

Answer 7

(5x-4)^5 ((-20x^3(4-x^4)^4) + (4-x^4)^5 ((25(5x-4)^4))
^^ this ^^ is in both terms

Answer 8

well sort of - it's raised to the 4th power in the other part

Answer 9

and then (4-x^4)^5 is common also

Answer 10

or the 4 - x^4 part at least

Answer 11

can you tell me step by step after what i got to get dy/dx=

Answer 12

you can use substitution and then factor and then resubstitute back
i got to go though, sorry

Answer 13

yea but i dont know what to do with the exp