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Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Dec 14, 2015

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Ezekiel Faye
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Page 1: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Jeopardy! Logarithms Exponentials

InverseFunctions

ApplicationsHoliday

Headlines

10 10 10 10 10

20 20 20 20 20

30 30 30 30 30

40 40 40 40 40

5050 5050 50

Page 2: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.
Page 3: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.
Page 4: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.
Page 5: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Find any relative extrema for of

Page 6: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.
Page 7: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

sin xy e

Page 8: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.
Page 9: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.
Page 10: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Find the absolute extrema for

on the interval [0, 4]

Page 11: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

1x yye xe

Page 12: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Find the slope of the inverse

f –1(x) when f(6)=4 31

3 2 80f x x x

Page 13: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.
Page 14: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Find in terms of xdy

dx

sec 1y x

Page 15: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

1sin cosy x

Page 16: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Find equation of the line tangent to f –1(x) if

1

xf x

x

1

at 2

x

Page 17: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Find2

2

d y

dx

Page 18: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Find the slope of the line tangent to the curve

( ) ln when 2xf x x e x

Page 19: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Find the equation of the line normal to the

curve

that passes through the origin

xy xe

Page 20: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Let f(x) be continuous, differentiable, and one-to-one. The table below gives the value

of f(x) and f’(x). If g(x) = f-1(x), then find g’(10)

Page 21: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.
Page 22: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Police Investigating Magical Top Hat

Evidence Appears to Have Melted

Page 23: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Boy's Christmas Wish Goes ViralVideo of Whistle Attempt gets

2M Hits on Youtube

Page 24: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Elderly Woman Dies in Holiday Accident

Dancer Cited with Failure to Yield

Page 25: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Woman Returns 73 Gifts from Stalker

Says She's Keeping the Rings

Page 26: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Horrible Deformity Mars Flying Ruminant

Parents file Complaint: Cite Ongoing Bullying

Page 27: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

DAILY DOUBLE

Page 28: Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines.

Identify the interval(s) when the following

function is concave down

arctan 3f x x