Question

Use your graphing calculator to find the value of f ′(1) for f(x) = x2 + Ln(x).

Answer 1

That is the slope at f(1)

one way is to just take the derivitive

f'(x)=2x+(1/x)

for ti-89, do calc then derivitive then input "x^2+ln(x),x)" and click enter to get the derivitive
you would get f'(x)=2x+(1/x)
an easier way would be to have

click calc then differntiate then type x^2+ln(x),x)|x=1 then click enter
you get f'(1)=3

answer is 3