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a. For any equation containing the variables x and y, the derivative dy/dx can be found by first using algebra to rewrite the equation in the form y = f(x). Choose the correct answer below. O A. This statement is true. O B. The statement is false. Sometimes the equation has multiple y-terms, 3x + 2y = y, for example. O C. The statement is false. Sometimes algebra cannot be used to rewrite an equation, y ex = In y", for example. dy b. For the equation of a circle of radius r, x +y =r, we have dx for y #0 and any real number r>0. y = - Choose the correct answer below. O A. This statement is true. dy O B. The statement is false. The derivative is dx for y #0 and any real number r>0. y !! dy O C. The statement is false. The derivative is for any real number y and r.

a. For any equation containing the variables x and y, the derivative dy/dx can be found by first using algebra to rewrite the equation in the form y = f(x). Choose the correct answer below. O A. This statement is true. O B. The statement is false. Sometimes the equation has multiple y-terms, 3x + 2y = y, for example. O C. The statement is false. Sometimes algebra cannot be used to rewrite an equation, y ex = In y", for example. dy b. For the equation of a circle of radius r, x +y =r, we have dx for y #0 and any real number r>0. y = - Choose the correct answer below. O A. This statement is true. dy O B. The statement is false. The derivative is dx for y #0 and any real number r>0. y !! dy O C. The statement is false. The derivative is for any real number y and r.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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c. If x = 1, then by implicit differentiation, 1 = 0. Choose the correct answer below. O A. This statement is true. B. The statement is false. The implicit derivative being 1= 0 depends on the values for у. O C. The statement is false. The equation x = 1 does not represent any sort of differentiable function. 1 d. If xy = 1, then y' Choose the correct answer below. O A. This statement is true. 1 B. The statement is false. The derivative is y' 2 1 for x+0. X O C. The statement is false. The derivative is y'
Transcribed Image Text:c. If x = 1, then by implicit differentiation, 1 = 0. Choose the correct answer below. O A. This statement is true. B. The statement is false. The implicit derivative being 1= 0 depends on the values for у. O C. The statement is false. The equation x = 1 does not represent any sort of differentiable function. 1 d. If xy = 1, then y' Choose the correct answer below. O A. This statement is true. 1 B. The statement is false. The derivative is y' 2 1 for x+0. X O C. The statement is false. The derivative is y'
a. For any equation containing the variables x and y, the derivative dy/dx can be found by first using algebra to rewrite the equation in the form y = f(x). %3D Choose the correct answer below. A. This statement is true. B. The statement is false. Sometimes the equation has multiple y-terms, 3x + 2y = y, for example. The statement is false. Sometimes algebra cannot be used to rewrite an equation, ye* = In y, for example. dy b. For the equation of a circle of radius r, x + y =r, we have dx X for y +0 and any real number r> 0. y Choose the correct answer below. O A. This statement is true. dy O B. The statement is false. The derivative is X for y +0 and any real number r>0. y dx dy C. The statement is false. The derivative is dx X for any real number y and r. y
Transcribed Image Text:a. For any equation containing the variables x and y, the derivative dy/dx can be found by first using algebra to rewrite the equation in the form y = f(x). %3D Choose the correct answer below. A. This statement is true. B. The statement is false. Sometimes the equation has multiple y-terms, 3x + 2y = y, for example. The statement is false. Sometimes algebra cannot be used to rewrite an equation, ye* = In y, for example. dy b. For the equation of a circle of radius r, x + y =r, we have dx X for y +0 and any real number r> 0. y Choose the correct answer below. O A. This statement is true. dy O B. The statement is false. The derivative is X for y +0 and any real number r>0. y dx dy C. The statement is false. The derivative is dx X for any real number y and r. y
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