Welcome to Derivative Jeopardy 2. Derivative Jeopardy 2 Final Jeopardy 300 400 100 Implicit 200 300 400 100 200 100 400 300 Simplifying Trig and deriv.

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Presentation transcript:

Welcome to Derivative Jeopardy 2

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

100 simplifying trig and deriv 100 simplifying trig and deriv Simplify and then take the Derivative Y = sin2x cos2x cos2x

100 Y = tan2x Y’ = 2sec 2 (2x)

200 simplifying trig and deriv Simplify and find the derivative Y = 8sin3x cos3x

200 Y=4sin6x y’ = 24cos6x

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

300 Y=6cos(10x)Y’=-60sin(10x)

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

400 y=cos 2 x y’ = - sin2x y’ = - sin2x

100 trig derivatives Y = x tanx

100 Y’ = xsec 2 x + tanx

200 trig derivatives Y= (2 + sin5x) -4

200 Y’ = -20cos5x (1 + sin5x) 5

300 y = sin(secx) y = sin(secx)

300 Y’=cos(secx)secxtanx

400 Y=__sinx__ 1 + cosx

400 y’ = __1___ y’ = __1___ 1 + cosx 1 + cosx

100 Implicit differentiation 100 Implicit differentiation + y = 7 x 2 + y 2 = 7

100 Y’ = -x/y

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

200 - Y’ = __-10x – 3y__ 3x + 2y

300 -3x 4 – 5xy + y 3 = 7x

300 Y’ = _7 + 12x 3 +5y -5x + 3y 2

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

400 Y” = -42/y 3

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

100 Y=2/3x – 7/3

200 Find the equation of the line normal to X 2 -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

400 xf(x)g(x)f ' (x)g ' (x) pi 11/2 1 -1/26 Find the derivative of F(g(x)) at x = 1

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 grams