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→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 gradient 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 gradient 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>.
Therefor the gradient of the line that meet (is tangential to) <math>f(x)</math> at <math>x</math> is the limit as <math>h</math> tend to zero, or,
Therefor the gradient of the line that meet (is tangential to) <math>f(x)</math> at <math>x</math> is the limit as <math>h</math> tend to zero, or,