Mathematics

Problem

On the graph of a differentiable function

y=f(x)

, what does the numerical value of

f'(a)

represent? a) The area under the curve from

x=0

x=a

b) The slope of the tangent line to the graph at

x=a

c) The slope of the secant line through

(0,f(0))

and

(a,f(a))

d) The negative reciprocal of the slope of the tangent line to the graph at

x=a

(i.e., the slope of the normal line)