Reviewing the chain rule.
1. 8sqrt(x^4-4x^2)
I don't know if I'm simplifying it wrong, but I'm not getting the correct answer.
2. csc^2x^2
I don't know why these always give me a hard time. =/
Any help would be greatly appreciated.
Thanks!
Reviewing the chain rule.
1. 8sqrt(x^4-4x^2)
I don't know if I'm simplifying it wrong, but I'm not getting the correct answer.
2. csc^2x^2
I don't know why these always give me a hard time. =/
Any help would be greatly appreciated.
Thanks!
1. 8sqrt(x^4-4x^2)
MATH]8*(x^4-4x^2)^(1/2)[[/tex]....exponentially sqrt=x^(1/2)
Outer function is y= 8u^(1/2)
Inner function is u=x^4- 4x^2
rememberthe chain rule is dy/dx= dy/du * du/dx
Derivativeof y= 8u^(1/2) ..... power rule
$\displaystyle 8*.5u^(1/2-1)$
$\displaystyle \frac{1}{8sqrt (u)}$
Now,
$\displaystyle \frac{1}{8sqrt (x^4- 4x^2)}$ * $\displaystyle 4x^3 - 8x$
Then simplify,
$\displaystyle \frac{4x^3 - 8x}{8sqrt (x^4- 4x^2)}$
2. Use parenthesis to say what the equation is.
Is it (csc^2x)^2 or perhaps (csc)^2x^2 ?