find the derivative
(x^4 + 3x^2 -2) ^5

Question

find the derivative 
(x^4 + 3x^2 -2) ^5

whpalmer4 · Answer

Do you know the chain rule?

anonymous · Answer

chain rule for this one 
$$\frac{d}{dx}[f^5(x)]=5f(x)\times f'(x)$$

anonymous · Answer

so far i have 5(x^4+3x^2-2)^4 * (4x^3+6x)

anonymous · Answer

i dont know how to keep going from there

anonymous · Answer

i would stop

anonymous · Answer

i need to fully simplify it completely

whpalmer4 · Answer

That is fully simplified.  If your problem said to expand it, well, the highest order term in that sucker after expansion is $x^{19}$ (!)

anonymous · Answer

yeah there is no way in hell you want to multiply this out
plus, there is no such mathematical operation as "simplify"
this is a simple as it gets

anonymous · Answer

find the derivative (x^4 + 3x^2 -2) ^5
f'(x)=5(x^4+3x^2-2)^4(4x^3+6x)

anonymous · Answer

yeah i need to expand it.

whpalmer4 · Answer

Okay, if you want to check your work, here's what it expands to:

$$2560 x^3+3600 x^5+1520 x^7-4770 x^9-1140 x^{11}+2100 x^{13}+1280 x^{15}+270 x^{17}$$
plus at least one term lopped off each end so no one complains that I gave you the answer to a ridiculous problem...

anonymous · Answer

thank you