Originally Posted by

**Truthbetold** If f(2)= 3 and f'(2)= 5, find an equation (a) the tangent line, and (b) the normal line to the graph of y=f(x) at the point where x=2.

Guess:

f(2)=3 refers to the answer of a basic derivative ( lim as h--> 0$\displaystyle \frac {f(x-h) -f(x)}{h}$ )of an unknown equation with x=2.

f'(2)=5 refers to the answer of the same equation in the other definition

lim as x--> a $\displaystyle \frac {f(x)-f(a)}{x-a}$ with x=2.

Either that f(2) in some equation of the derivative = 3 and 5.

I'm inclined to believe the latter.

Thanks!