Please help!I am completely lost on this....
Question:evaluate using(a) first principles(b)shorthand method
-5x^5 + 2x^2/3 - 3x^-3/4 + x
I dont know the formulas for this could someone do a sample question like this for me please?
$\displaystyle y = -5x^5 + 2x^{2/3} - 3x^{-3/4} + x
$
use the power rule for derivatives, $\displaystyle \frac{d}{dx} x^n = nx^{n-1}$ ...
$\displaystyle y' = -25x^4 + \frac{4}{3} x^{-1/3} + \frac{9}{4}x^{-7/4} + 1$
finding the derivative using first principles is going to be an algebra drill of epic proportions ... an unreasonable task imho.