   Chapter 10.6, Problem 56E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Explain why we cannot put h = 0 in the formula f ′ ( a ) = lim h → 0 f ( a + h ) − f ( a ) h For the derivative of f.

To determine

The reason for not putting h=0 in the formula for the derivative of f, that is f(a)=limh0f(a+h)f(a)h.

Explanation

Given information:

The formula for the derivative of function f is f(a)=limh0f(a+h)f(a)h.

Consider the function, f(x) and the derivative of the function f at the point x=a is f(a)=limh0f(a+h)f(a)h.

Substitute h=0 in the above formula,

f(a)=limh0f(a

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