Calculus

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Concept explainers

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

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Question

Chapter 3, Problem 5PE

(a)

To determine

The procedure to find the derivative of constant rule.

(b)

To determine

The procedure to find the derivative using power rule.

(c)

To determine

The procedure to find the derivative using trigonometric rule.

(d)

To determine

The procedure to find the derivative using exponential rule.

(e)

To determine

The procedure to find the derivative using logarithmic rule.

(f)

To determine

The procedure to find the derivative using inverse trigonometric rule.

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Chapter 3, Problem 4PE

Chapter 3, Problem 6PE

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Chapter 3 Solutions

Calculus

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The procedure to find the derivative of constant rule.

Solution Summary: The author explains the procedure to find the derivative of constant rule. Let y be the function, where c is any constant.

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Videos

The procedure to find the derivative of constant rule.

The procedure to find the derivative using power rule.

The procedure to find the derivative using trigonometric rule.

The procedure to find the derivative using exponential rule.

The procedure to find the derivative using logarithmic rule.

The procedure to find the derivative using inverse trigonometric rule.

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Chapter 3 Solutions