- #1

- 501

- 0

slope of tangent line =

[tex]\frac{f(a+h)-f(a)}{h}[/tex]

[tex]h\rightarrow0[/tex]

find slope of tangent line:

[tex]f(x)=\frac{1}{x}[/tex]

at a=2

so,

[tex]\frac{1}{2+h}-\frac{1}{2}*\frac{1}{h}[/tex]

common denominator X by (1+h)

[tex]\frac{1}{2+h}-\frac{1+h}{2+h}*\frac{1}{h}[/tex]

[tex]\frac{1-1-h}{2+h}*\frac{1}{h}[/tex]

[tex]\frac{-2-h}{2+h}*\frac{1}{h}[/tex]

[tex]\frac{-1(2+h)}{2+h}*\frac{1}{h}[/tex]

[tex]\frac{-1}{h}[/tex]

make "h" zero and im stuck.....