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Consider the implicit relation between x and y defined by ƒ(x) − fƒ(y) + f(xy) = 0 for some continuous and differentiable function f(x). Which of the following expressions gives the correct derivative? Select one alternative: dy f'(x) + yf'(xy) dx f'(y) — xf'(xy) dy f'(y) + x f'(xy) dx f'(x) — yf'(xy) dy dx f'(x) − yf'(xy) f'(y) + x f'(xy) dy f'(y) — x f'(xy) dx f'(x) + yf'(xy) O O O - ||

Consider the implicit relation between x and y defined by ƒ(x) − fƒ(y) + f(xy) = 0 for some continuous and differentiable function f(x). Which of the following expressions gives the correct derivative? Select one alternative: dy f'(x) + yf'(xy) dx f'(y) — xf'(xy) dy f'(y) + x f'(xy) dx f'(x) — yf'(xy) dy dx f'(x) − yf'(xy) f'(y) + x f'(xy) dy f'(y) — x f'(xy) dx f'(x) + yf'(xy) O O O - ||

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the implicit relation between x and y defined by f(x) = f(y) + f(xy) = 0 - for some continuous and differentiable function f(x). Which of the following expressions gives the correct derivative? Select one alternative: dy ƒ'(x) + yf'(xy) dx f'(y) - xf'(xy) dy f'(y) + x f'(xy) dx f'(x) — yf'(xy) f'(x) - yf'(xy) f'(y) + xf'(xy) ƒ'(y) — x f'(xy) f'(x) + yf'(xy) dy dx dy dx = - - =
Transcribed Image Text:Consider the implicit relation between x and y defined by f(x) = f(y) + f(xy) = 0 - for some continuous and differentiable function f(x). Which of the following expressions gives the correct derivative? Select one alternative: dy ƒ'(x) + yf'(xy) dx f'(y) - xf'(xy) dy f'(y) + x f'(xy) dx f'(x) — yf'(xy) f'(x) - yf'(xy) f'(y) + xf'(xy) ƒ'(y) — x f'(xy) f'(x) + yf'(xy) dy dx dy dx = - - =
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