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mLine 13:
Line 13: − ===Introduction to derivative===+ Line 19:
Line 19: − Therefor the slope of the line that meet (is tangential to) <math>f(x)</math> at <math>x</math> is the limit as <math>h</math> tends to zero, or,+ − +
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where the two points are located at (x<sub>1</sub>, y<sub>1</sub>) and (x<sub>2</sub>, y<sub>2</sub>).
where the two points are located at (x<sub>1</sub>, y<sub>1</sub>) and (x<sub>2</sub>, y<sub>2</sub>).
==Introduction to derivative==
If a function has value <math>f(x)</math> at <math>x</math> and <math>f(x+h)</math> at <math>x+h</math> with <math>h>0</math> than the slope of the line joining <math>(x,f(x))</math> to <math>(x+h,f(x+h))</math> is,
If a function has value <math>f(x)</math> at <math>x</math> and <math>f(x+h)</math> at <math>x+h</math> with <math>h>0</math> than the slope of the line joining <math>(x,f(x))</math> to <math>(x+h,f(x+h))</math> is,
:<math>\frac{f(x+h)-f(x)}{h}</math>.
:<math>\frac{f(x+h)-f(x)}{h}</math>.
The slope of the line that meets (is tangential to) <math>f(x)</math> at <math>x</math> is the limit as <math>h</math> tends to zero, or,
:<math>\lim_{h\rightarrow0}\frac{f(x+h)-f(x)}{h},</math>
:<math>\lim_{h\rightarrow0}\frac{f(x+h)-f(x)}{h},</math>
which is denoted <math>f'(x)</math>, which is called the [[derivative]] of <math>f(x)</math>.
which is denoted <math>f'(x)</math>, which is called the [[Derivative (calculus)|derivative]] of <math>f(x)</math>.
[[Category:Algebra]]
[[Category:Algebra]]