Explanation Given: f ( x ) = k ( a − x ) ( b − x ) Concept Used: Power rule of differentiation formula d d x x n = n x n − 1 Differentiation of a constant term is 0 Calculation: To find differentiation of function f ( x ) = k ( a − x ) ( b − x ) Differentiate both side of the equation with respect to x as d d x ( f ( x ) ) = d d x [ k ( a − x ) ( b − x ) ] Now, first simplify the right hand side of above and then solve, as d d x ( f ( x ) ) = d d x [ k ( a − x ) ( b − x ) ] = d d x [ k ( a b − a x − b x + x 2 ) ] = d d x [ k a b − k a x − k b x + k x 2

15th Edition

ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Question

Chapter 3.3, Problem 27E

To determine

To differentiate the function

f(x)=k(a−x)(b−x)

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Chapter 3.3, Problem 26E

Chapter 3.3, Problem 28E

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Consider the graphs of y = f(x) and y = g(x) in the given diagram y= f(x). y = g(x) Evaluate (f+g)(2) -5 Determine all for which g(x) < f(x) Determine all for which f(x) +3 = g(x)

I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed. J) Give the interval(s) of such that g(x) > 0. Use the union symbol between multiple intervals. K) Give the interval(s) of such that g(x) <0. Use the union symbol between multiple intervals.

need help on B

Chapter 3 Solutions

BIOCALCULUS:CALCULUS F/LIFE...-W/ACCESS

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