Derivatives
The Derivative of 4x2-3x
What is 8x-3?
The maximum value of the product, xy, when the sum, x+y=8.
What is 16?
The limit of f(x), given that lim x->1- f(x) = 76 and given that lim x->1+ f(x) = 77.
What is DNE?
Ms. Lachance's Starbucks order
What is _________?
The Derivative of cos(2x)
What is -2sin(2x)?
Two numbers whose sum is 26 and whose product is as large as possible.
What is 13,13?
The limx->-1 x4-5x2+1 / x+3
What is -3/2?
The derivative of tan-1(sec(x))
What is tan(x)sec(x) / sec2(x) + 1?
the lim x->-3 2(x2+x-6) / (x+3)(x2-3x+9)
What is -10/27?
Camryn has started a bussiness painting dog toe nails. They charge p(x) = 3.25 - 0.015x for her service. Each Dog costs them C (x)= 10 + 1.5x - 0.002x2. This is Camryn's profit after they service 34 dogs.
What is $34.47?
The derivative of ln(2e5x^2)
What is 10x?
The lim x->oo (x+1)/ x2 / x2-x / x2
What is 0?
Ishaani can produce a maximum of 1500 sock puppets in a year. If she sells x # of puppets during the year then her profit, in dollars, is given by:
P(x)=30,000,000−360,000x+750x2−(1/3)x3
This is how many puppets she should try to sell in order to maximize her profit.
What is "Ishaani will need to sell 1200 sock puppets to maximize the profits"?
The derivative of sec-1(2x)/tan(3x)
What is -cot(3 x)/(sqrt(4 - 1/x2) x2) - 3 csc^(-1)(2 x) csc^2(3 x)?
The weekly cost for Naeem to produce x# of beach shorts for his new business is:
C(x)=4000−32x+0.08x2+0.00006x3
and the demand function is:
p(x)=250+0.02x−0.001x2
This is the marginal cost, marginal revenue and marginal profit when x=200.
What is:
C′(200)=7.2
R′(200)=138
P′(200)=130.8
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