Question

Find the exact value of k that makes the antidifferntation formula true
(7x+18)^4 = k(7x+18)^5 + C

Answer 1

Have you learned the substitution rule yet? You can use u=7x+18.

Answer 2

take the derivative of the right side and compare it to the left side ....

Answer 3

@amistre64 the derivative of the right side is 35(7x+18)^4 so what do i do know?

Answer 4

you forgot to keep the k

Answer 5

@BluFoot no im not sure what you are talking about

Answer 6

35k(7x+18)^4?

Answer 7

OK that's fine, use amistre's tips then :)

Answer 8

35k(7x+18)^4

now, this needs to be exactly like the left side; so what value of k do we need to use?

Answer 9

1/35?

Answer 10

(7x+18)^4 = 35k (7x+18)^4 ; when k=1/35 great job ;)

Answer 11

thx!