Finding generic slope
- Thread starter quasar12
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butterfly50
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- Mar 6, 2012
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???
WHAT GRADE IS THIS?
:???:
WHAT GRADE IS THIS?
:???:
butterfly50
New member
- Joined
- Mar 6, 2012
- Messages
- 6
sorry i dont know im in 5th grade.
By 'generic slope' I think you mean derivative. This can be a messy problem, algebraically speaking.
\(\displaystyle \displaystyle \lim_{h\to 0} \frac{\sqrt[3]{4(x+h)+1}-\sqrt[3]{4x+1}}{h}\)
Use this fact: \(\displaystyle a-b = (a^{1/3}-b^{1/3})(a^{2/3}+a^{1/3}b^{1/3}+b^{2/3})\)
To get a numerator of \(\displaystyle [(4x+h)+1] - [4x+1]\).
\(\displaystyle \displaystyle \lim_{h\to 0} \frac{\sqrt[3]{4(x+h)+1}-\sqrt[3]{4x+1}}{h}\)
Use this fact: \(\displaystyle a-b = (a^{1/3}-b^{1/3})(a^{2/3}+a^{1/3}b^{1/3}+b^{2/3})\)
To get a numerator of \(\displaystyle [(4x+h)+1] - [4x+1]\).