Question

Derive y= (3x-9)^9(x+2)^6

I get y1= 162(3x-9)^8(x+2)^5?

Answer 1

The answer is 45x(3x-9)^8(x+2)^5...I don't get it!

Answer 2

you must use the product rule combined with using the chain rule when you find each derivative.

Answer 3

Yep that's what I did! Should I show you my steps?

Answer 4

yes please, let me take a look

Answer 5

y = (3x-9)^9(x+2)^6
y1 = 9(3)(3x-8)^8 (6)(1)(x+2)^5
y1 = 162 (3x-9)^8(x+2)^5

Answer 6

Thank you

Answer 7

Have I gone wrong somewhere?

Answer 8

yes you forgot to put an addition sign. the product formula is a*d/dx(b) + d/dx(a) * b

Answer 9

OHHHHHHH

Answer 10

when you take the d/dx of the a and the b terms, that's when you execute the sign rule. this is an annoying question lol it will take some time to compute it all

Answer 11

Thank you!!!!!

Answer 12

no problem!