Mathematics

Problem

The function

g

is defined by

g(x)=\sqrt{x+4}

for

x\ge -4

. a. (i) Obtain an explicit formula for

g'(x)

for all

x>-4

. b. (ii) Evaluate

g'(5)

. c. (iii) Explain the meaning of the value found in part (ii) with respect to the graph of

y=\sqrt{x+4}

. What does it represent geometrically?