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