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Find the Equation of a Tangent Line using Implicit Diff.

Mathematics, Other, Fun

10th - 12th Grade

Used 7+ times

Find the Equation of a Tangent Line using Implicit Diff.
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6 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is an implicit function?

"y = some function of x". When we know x can calculate y directly.
"x = some function of y". When we know y can calculate x directly.
"some function of x and a constant equal to y".
"some function of y and x equal something else". Knowing x does not lead directly to y.

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the equation of the tangent line of the function:
x3 - 7xy + y3 = -125 at (2,1)

y - 1 = 0.45 (x - 2)
y - 1 = -0.45 (x - 2)
y - 1 = 2.2 (x - 2)
y - 1 = -2.2 (x - 2)

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

y - 8 = 0.2321 (x - 1)
y - 8 = -0.2321 (x - 1)
y - 8 = 4.308 (x - 1)
y - 8 = -4.308 (x - 1)

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the equation of the tangent line of the function:
(y - 5)5 = x2 + 2xy - 33 at (-3, -1)

y + 1 = -0.006 (x + 3)
y - 1 = -0.006 (x - 3)
y + 1 = 160.75 (x + 3)
y - 1 = 160.75 (x - 3)

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

y - 1 = 0.6 (x - 1)
y - 1 = -0.6 (x - 1)
y - 1 = 1.67 (x - 1)
y - 1 = -1.67 (x - 1)

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

y - 2 = 0.93 (x - 3)
y - 2 = -15/14 (x - 3)
y - 2 = 15/14 (x - 3)
y - 2 = -0.93 (x - 3)

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