Mathematics

Problem

50. When Are Derivatives and Areas Equal? Let

f(x)=1+e^{x}

. (a) Draw a graph of

f

for

0 \leq x \leq 1

. (b) Use NDER on your calculator to compute the derivative of

f

at 1 . (c) Use NINT on your calculator to compute the area under

f

from

x=0

x=1

and compare it to the answer in part (b). (d) Group Activity What do you think the exact answers to parts (b) and (c) are?