Homework SourseUse the definition mtan limit as x approaches a of fxfaxa to
Use the definition mtan= limit as x approaches a of f(x)-f(a)/x-a to find the slope of the line tangent to the graph of f at P.
Determine an equation of the tangent line at P.
Plot the graph of f and the tangent line at P.
f(x)=x 2 P(5,27)
Determine an equation of the tangent line at P.
Plot the graph of f and the tangent line at P.
f(x)=x 2 P(5,27)
Solution
lim x->a (x^2-a^2)/(x-a) =(x+a) as x->a limit=2a at 5,27 slope=2*5=10 y=10x+c x=5,y=27 c=-23 10x-y-23=0
