Welcome to Derivative Jeopardy 2 Derivative Jeopardy 2

Welcome to Derivative Jeopardy 2

Derivative Jeopardy 2 Simplifying Trig and deriv Trig derivative Implicit Anything goes 100 100 200 200 300 300 400 400 Final Jeopardy

100 simplifying trig and deriv Simplify and then take the Derivative Y = sin 2 x cos 2 x

100 Y = tan 2 x 2 Y’ = 2 sec (2 x)

200 simplifying trig and deriv Simplify and find the derivative Y = 8 sin 3 x cos 3 x

200 Y=4 sin 6 x y’ = 24 cos 6 x

300 Simplify and find deriv Y = 6 cos 2 (5 x) – 6 sin 2 (5 x)

300 Y=6 cos(10 x) Y’=-60 sin(10 x)

400 Simplify and find the derivative Y= _1__ 2 Sec x

400 y=cos 2 x y’ = - sin 2 x

100 trig derivatives Y = x tanx

100 Y’ = xsec x + tanx 2

200 trig derivatives Y= (2 + -4 sin 5 x)

200 Y’ = -20 cos 5 x 5 (1 + sin 5 x)

300 y = sin(secx)

300 Y’=cos(secx)secxtanx

400 Y=__sinx__ 1 + cosx

400 y’ = __1___ 1 + cosx

100 Implicit differentiation 2 x 2 y +y =7

100 Y’ = -x/y

200 2 5 x + 3 xy + 2 y =4

200 Y’ = __-10 x – 3 y__ - 3 x + 2 y

300 -3 x 4 – 5 xy + y 3 = 7 x

300 3 12 x +5 y Y’ = _7 + 2 -5 x + 3 y

400 Find the second derivative 6 x 2 – y 2 = 7

400 Y” = 3 -42/y

Anything goes 100 find the equation of the line tangent to 2 2 = x – 3 y 1 at (2, 1)

100 Y=2/3 x – 7/3

200 Find the equation of the line normal to X 2 -2 xy + 3 y = 4 at (2, 0)

200 y = -1 x + 2

300 Find the equation of the line tangent to Y = 2 sinx at x =pi/4

300

400 x f(x) -1 2 0 -1 1 -1 g(x) f ' (x) 1 pi -1 g ' (x) -2 1 -1/2 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