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Math
Mathematical Applications for the Management, Life, and Social Sciences11th Edition

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Chapter 9.4, Problem 36E
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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 4CP
Problem 5CP
Problem 6CP
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

In Problems 35 and 36, find each derivative at the given x-value (a) with the appropriate rule and (b) with the numerical derivative feature of a graphing calculator.

y = 1 + 3 x 2 / 3   at  x  = -8

(a)

To determine

To calculate: The derivative of the function y=1+3x23 at x=−8.

Explanation

Given Information:

The function, y=1+3x23 and the variable x=−8.

Formula Used:

According to sum rule of derivatives,

If f(x)=u(x)+v(x) then,

f′(x)=u′(x)+v′(x)

According to power rule,

If f(x)=xn, then f′(x)=nxn−1.

According to constant function rule,

If f(x)=c, then f′(x)=0.

Coefficient rule for a constant c is such that, if f(x)=c⋅u(x), where u(x) is a differentiable function of x, then f′(x)=c⋅u′(x).

Calculation:

The given function is y=1+3x23

(b)

To determine

To calculate: The derivative of the function y=1+3x23 at x=−8 by use of graphing calculator.

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Chapter 9.4,
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Sect-9.1 P-1CPSect-9.1 P-2CPSect-9.1 P-3CPSect-9.1 P-4CPSect-9.1 P-5CPSect-9.1 P-6CPSect-9.1 P-7CPSect-9.1 P-8CPSect-9.1 P-9CPSect-9.1 P-10CP
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