Limits and Derivatives Review

8

DNE

0

-4

6

1/6

0

DNE

 $f'\left(x\right)\ =\ 36x^2\ +\ 16x^{-5}$  

 $f'\left(x\right)\ =\ 12x^3\ -\ 16x^{-5}$  

 $f'\left(x\right)\ =\ 36x^2\ +\ 16x^{-3}$  

 $f'\left(x\right)\ =\ 36x^2\ -\ 16x^{-3}$  

 $g'\left(x\right)\ =\ \left(4x^3\ -\ 17x\right)\left(15x^4+\ 18x\right)\ +\ \left(12x^{2\ }-\ 17\right)\left(3x^5\ +\ 9x^2\right)$  

 $g'\left(x\right)\ =\ \left(12x^2\ -\ 17\right)\left(15x^4+\ 18x\right)$  

 $f'\left(x\right)\ =\ \frac{\left(\left(x^3\ +\ 1\right)\left(10x\right)\ -\ \left(5x^2\right)\left(3x^2\right)\right)}{\left(x^3\ +\ 1\right)^2}$  

 $f'\left(x\right)\ =\ \frac{\left(\left(5x^2\right)\left(3x^2\right)\ -\ \left(x^3\ +\ 1\right)\left(10x\right)\right)}{\left(x^3\ +\ 1\right)^2}$  

 $f'\left(x\right)\ =\ \frac{10x}{3x^2}$  

 $f'\left(x\right)\ =\ \frac{1}{2}\left(3x^5\ -\ 11x^3\right)^{-\frac{1}{2}}\left(15x^4\ -\ 33x^2\right)$  

 $f'\left(x\right)\ =\ \frac{1}{2}\left(15x^4\ -\ 33x^2\right)^{-\frac{1}{2}}$  

 $f'\left(x\right)\ =\ \frac{1}{2}\left(3x^5\ -\ 11x^3\right)^{\frac{1}{2}}\left(15x^4\ -\ 33x^2\right)$  

the slope between two points.

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