welcome to derivative jeopardy 2. derivative jeopardy 2 final jeopardy 300 400 100 implicit 200 300...

Welcome toDerivativeJeopardy 2

Derivative Jeopardy 2

Final Jeopardy

300

400

100

Implicit

200

300

400

100

200

100

400

300

SimplifyingTrig and

deriv

200

300

400

100

Anythinggoes

200

Trigderivative

100 simplifying trig and derivSimplify and then take the

DerivativeY = sin2x cos2x

100

Y = tan2xY’ = 2sec2(2x)

200 simplifying trig and deriv

Simplify and find the derivative

Y = 8sin3x cos3x

200Y=4sin6x

y’ = 24cos6x

300

Simplify and find derivY = 6cos2 (5x) – 6sin2

(5x)

300

Y=6cos(10x)Y’=-60sin(10x)

400

Simplify and find the derivativeY= _1__

Sec2 x

400

y=cos2 x y’ = - sin2x

100 trig derivatives

Y = x tanx

100

Y’ = xsec2 x + tanx

200 trig derivatives

Y= (2 + sin5x)-4

200

Y’ = -20cos5x (1 +

sin5x)5

300

y = sin(secx)

300

Y’=cos(secx)secxtanx

400

Y=__sinx__

1 + cosx

400

y’ = __1___ 1 + cosx

100 Implicit differentiation

x2 + y2 = 7

100

Y’ = -x/y

200

5x2 + 3xy + y2 = 4

200

-

Y’ = __-10x – 3y__

3x + 2y

300

-3x4 – 5xy + y3 = 7x

300

Y’ = _7 + 12x3+5y-5x + 3y2

400

Find the second derivative

6x2 – y2 = 7

400

Y” = -42/y3

Anything goes 100

find the equation of the line tangent to

x2 – 3y2 = 1 at (2,1)

100

Y=2/3x – 7/3

200

Find the equation of the line normal to

X2 -2xy + 3y = 4 at (2,0)

200

y = -1x + 2

300

Find the equation of the line tangent to

Y = 2sinx at x =pi/4

300

)2(4

2 xy

400

x f(x) g(x) f ' (x) g ' (x)

-1 2 1 -2 1

0 -1 pi 1 1/2

1 -1 -1 -1/2 6

Find the derivative of

F(g(x)) at x = 1

400

-12

Final Jeopardy

The half-life of radium is 1690 years. If 10 grams is present now, how much will be present in 50 years?

(keep the whole value of k in the calculator – don’t round until the end)

Final Jeopardy

9.797 grams