Explanation Given: The given function is f ( x ) = log 2 ( 1 − 3 x ) Concept Used: 1. Power rule of differentiation d d x x n = n x n − 1 2. log 2 ( x ) = ln ( x ) ln ( 2 ) 3 .Chain rule of differentiation is: d d x f [ g ( x ) ] = d d g f ( g ) d g d x , where g is a differentiable function at x and f is a differentiable function at g ( x ) Calculation: To find the derivative of the function f ( x ) = log 2 ( 1 − 3 x ) First, simplify the right hand side as, log 2 ( 1 − 3 x ) = ln ( 1 − 3 x ) ln ( 2 ) Now differentiate both sides of above function with respect to x as, d d x [ f ( x ) ] = d d x [ log 2 ( 1 − 3 x ) ] = d d x [ ln

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Chapter 3.7, Problem 5E

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To differentiate the function

f(x)=log2(1−3x)

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Chapter 3.7, Problem 4E

Chapter 3.7, Problem 6E

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Question 2 Let F be a solenoidal vector field, suppose V × F = (-8xy + 12z², −9x² + 4y² + 9z², 6y²), and let (P,Q,R) = V²F(.725, —.283, 1.73). Then the value of sin(2P) + sin(3Q) + sin(4R) is -2.024 1.391 0.186 -0.994 -2.053 -0.647 -0.588 -1.851 1 pts

1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is Question 1 -0.246 0.072 -0.934 0.478 -0.914 -0.855 0.710 0.262 .

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Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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To differentiate the function f ( x ) = log 2 ( 1 − 3 x )

Solution Summary: The author explains how to find the derivative of the function f(x)=mathrmlog_2.

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To differentiate the function

f(x)=log2(1−3x)

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To differentiate the function f ( x ) = log 2 ( 1 − 3 x )

Solution Summary: The author explains how to find the derivative of the function f(x)=mathrmlog_2.

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To differentiate the function f(x)=log2(1−3x)

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Chapter 3 Solutions

To differentiate the function

f(x)=log2(1−3x)