(a) Explanation Given Information: The provided function is f ( x ) = x 2 + x Formula used: If a function f ( x ) is defined in the interval [ x , x + h ] , then the slope of the tangent can be evaluated by the derivative as f ′ ( x ) = lim h → 0 f ( x + h ) − f ( x ) h Calculation: , Consider the function, f ( x ) = x 2 + x Substitute x = x + h in f ( x ) to get, f ( x + h ) = ( x + h ) 2 + ( x + h ) = x 2 + (b) To determine To calculate: (c) To determine To calculate: The equation of the line which is tangent to the graph of f ( x ) = x 2 + 3 x at point ( − 1 , − 2 ) (d) To determine To graph: The function, f ( x ) = x 2 + x and the tangent line y = 5 x − 4 .

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Chapter 9.3, Problem 35E

(a)

To determine

To calculate: The slope of the tangent to the graph of the function f(x)=x2+x

(b)

To determine

To calculate:

(c)

To determine

To calculate: The equation of the line which is tangent to the graph of f(x)=x2+3x at point (−1,−2)

(d)

To determine

To graph: The function, f(x)=x2+x and the tangent line y=5x−4.

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Chapter 9.3, Problem 34E

Chapter 9.3, Problem 36E

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Chapter 9 Solutions

MATHEMATICAL APPLICATIONS FOR THE MGT

Ch. 9.1 - 1. Can exist if is undefined? Ch. 9.1 - 2. Does exist if ? Ch. 9.1 - 3. Does Ch. 9.1 - 4. If , does exist? Ch. 9.1 - 5. Let (a) Does (b) Find . Ch. 9.1 - 6. Evaluate the following limits (if they...Ch. 9.1 - Prob. 7CP Ch. 9.1 - Prob. 8CP Ch. 9.1 - Prob. 9CP Ch. 9.1 - Prob. 10CP

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The slope of the tangent to the graph of the function f ( x ) = x 2 + x

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To calculate: The slope of the tangent to the graph of the function f(x)=x2+x

To calculate:

To calculate: The equation of the line which is tangent to the graph of f(x)=x2+3x at point (−1,−2)

To graph: The function, f(x)=x2+x and the tangent line y=5x−4.

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Chapter 9 Solutions