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 - ||
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 6ECP
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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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