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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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BuyFindarrow_forward

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

Define the derivative f’(a). Discuss two ways of interpreting this number.

To determine

To define:

The derivative f(a), and two ways of interpreting this number.

Explanation

Definition:

The derivative of a function f is f(a) and is denoted by,

f'a=limh0fa+h-f(a)h= limxafx-f(a)x-a

Interpretation,

Derivative at a point is a, slope of tangent line drawn at that point

m=y2-y1x2-x1

The equation of a tangent line is y=mx+c where c is y-intercept

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