Product Rule
Quotient Rule
Chain Rule
Trig. Derivatives
*FINAL JEOPARDY*
100
What is the equation for the power rule?
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What is (d/dx)xn = n⋅xn−1?
100
What is the equation for the quotient rule?
What is 
100
What is the equation for the chain rule?
What is f(g(x)) = f'(g(x))⋅g'(x)?
100
y = tan(5x)3
What is dy/dx = 15x2 sec2 (5x)3?
200
f(x) = (2x4 − 3)(x2 + 1)
What is 12x5 + 8x3− 6x?
200
This function is the derivative of y=(x2-4)/(x-3).
What is y'=(x2-6x+4)/((x-3)2)?
200
y = (x3 + 3)5
What is 15x2(x3 + 3)4?
200
What is the derivative of f(x) = sin(2x)3
What is f '(x) = 6x2cos(2x)3
300
What is the derivative of y = −x3(3x4− 2)?
What is 21x6 + 6x2?
300
y = 3x4 + 2/3x3 − 2
What is 9x6 - 24x3 -18x2 / 9x6 - 12x3 + 4?
300
y = (x2+1)3
What is y'=6x(x2+1)2?
300
f(x)= (2x5 + 3)cos(x)2
What is f'(x) = 2x(−2x5 sin x 2 − 3sin x2 + 5x3 cos x2 ?
400
h(x) = (3x3+4x)(x-5)(x+1)
What is h'(x) = 15x4-48x3-33x2-32x-20?
400
f(x) = [sin(x)]/x2
What is ƒ'(x)=[xcos(x)-2 sinx]/x3?
400
y = ((x + 5)5 − 1)4
What is 20((x+5)5-1)3 ⋅ (x+5)4?
400
f (x) = cos (−3x2 + 2)2
What is f '(x)= 12xsin (−3x2 + 2)2 ⋅ (−3x2 + 2)
500
Y = (x2+2x)/3
What is Y' = (2x+2)/3?
500
y = x4+ 6/3 − 4x-4
What is 12x11 - 32x7 - 96x3/ 9x8 - 24x4 + 16?
500
y = (x3 + 4)5 /3x4− 2
What is 3x2(x3+4)4(11x4 - 10 -16x)/(3x4 - 2)2
500
y = −2x2 − 5 cos 2x3
What is dy/dx = 2x(−2cos2x3 − 6x3 sin 2x3 − 15xsin2x3) cos (2)2x3?
500
A factory manufactures 500 boxes of jackets per month. The number of boxes increases at a rate of 50 boxes per month. As of now, the number of jackets per box is 100. That too is increasing at a rate of 10 bottles per month. If both the number of boxes and the number of jackets per box is increasing then at what rate is the total number of jackets increasing per month after 3 months?
What is 13,000 jackets per month?