Question

Find the derivative of:

y = sq. root ( x - (x^2 - 8)^5)

Answer 1

sq. root is pretty much the entire thing raised to the (1/2) power so just do that and use chain rule because its a function to the fifth power. get it?

Answer 2

I've tried that and I still keep getting the wrong answer. When using the chain rule, would I keep using it until I get 2 or stop at 2x?

Answer 3

Chain rule within a chain rule.

\[ \frac{ d }{ dx }\sqrt{x-({x ^{2}-8}})^{5}\]

Answer 4

Let u = x - ( x² - 8 )⁵
-> u' = 1 - 5 ( x² - 8 )⁴ ( 2x)
Plug into:
y' = u' / 2 √ u