432 Answered Questions for the topic Derivative

11/17/20

P=245−x50 and C(x)=46000+60x, x is the number of microwaves that can be sold at a price of p dollars and C(x) is the cost of production
Find the profit function in terms of x. P(x) = Evaluate the marginal profit function at x=1500. P′(1500) =
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Derivative Calculus

11/17/20

Let f(x)=sqrt(5x+6)

Find f′(x). Find the domain of f′(x) in interval notation
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Derivative Calculus

11/17/20

Find the 100th derivative of f(x)=x(e^−x)
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Derivative Calculus Calc

11/16/20

A company wants to make and sell computers. The price function is p=−90x+1600 (x is the number of computers and p is the price) The weekly cost of production will be 9000$ with an extra 50$ per unit.
A. Find the revenue function in terms of x B. Find the cost function in terms of x using the production cost C. Find the profit function in terms of x D. Evaluate the marginal profit at x=250
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Derivative Calculus Functions

11/15/20

The total cost of producing x coffee machines is C(x)=2000+70x−0.1x2 A. Find the exact cost of producing the 21st machine B. Use marginal cost to approximate the cost of producing the 21st machine
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Derivative Calculus Tangent Line

11/14/20

Find an equation of the tangent line to the curve y=sin(3x)+cos(4x) at the point (π/6,y(π/6))
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Derivative Calculus

11/14/20

Calculate G′(−3) to 3 significant figures where G(x)=(4x−2)^10(4x2+1x+0)^12
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11/06/20

calculus question
Whats the derivative of (8^(2t))/t? (Hint: In some exercises, you may find it helpful to apply logarithmic properties before differentiating.)the answer is (9ln(2) * (512^t) * t - 512^t)/t^2 but i... more
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Derivative Calculus

11/02/20

Calculus Derivative NEED HELP ASAP PLS!
Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x = 2 and a relative maximum at x = -1.5 and a relative minimum at x = 1.5. Which of the following... more
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Derivative Calculus

11/01/20

why does (fg)' ≠ f'g'

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Derivative Calculus

11/01/20

Plan an explanation why (fg)' ≠ f'g' for a student who was absent today.
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Derivative Calculus

10/13/20

Find a second degree polynomial f(x) such that f(1) = 4,f′(1) = 5, and f′′(1) = 1?
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Derivative

10/03/20

If d/dx[f(x^3)]=-6x^4 what is f'(x)
Please help, I don't know how to find f'(x) given the information.
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Derivative Calculus

10/01/20

Find f and a if: lim x->5 ( 2^x - 32)/(x-5)
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Derivative Calculus

09/29/20

f(-8)=9, f’(-8)=5, g(-8)=0, g’(-8)=8 and H(x)= square root of (f(x)+g(x)) Find dH/dx|x=-8
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Derivative Calculus

09/29/20

f(0)=7, f’(0)=1, f(1)=8, f’(1)=8, g(1)=2, g’(1)=-9 and H(x)=f(ln(x))+ln(g(x)). Find dH/dx|x=1
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Derivative Calculus

09/29/20

f(8)=7, f’(8)=-8 and H(x)=(1+f(x))^3 Find dH/dx|x=8
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Derivative Calculus

09/29/20

F(5)=7, f’(5)=3, f(20)=1, f’(20)=-8 and H(x)=f(x^2-5). Find dH/dx|x=5
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Derivative Calculus

09/29/20

F(2)=9, f’(2)=4, f(5)=4, f’(5)=9, g(2)=1, g’(2)=-3 and H(x)=f(x^2+g(x)) Find dH/dx|x=2
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Derivative Calculus

09/29/20

f(-3)=3, f’(-3)=3, g(-3)=4, g’(-3)=-6 and H(x)=f(x)e^(g(x)). Find the derivative dH/dx|x=-3
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Derivative Calculus

09/29/20

If f(x) = 2/x^2, find f'(4)
f(x) = 2/x2Find f'(4)
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09/24/20

How do you use the Intermediate value theorem (IVT) to prove there is at least one solution to 2^x = 1/x
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Derivative Calculus Precalculus

09/22/20

Suppose F(G(x))=x^5 and G’(1)=2 Find F’(G(1))
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Derivative Calculus

09/22/20

Suppose h(x)=square root of f(x) and the equation of the tangent line to f(x) at x=1 is y=4+3(x-1) Find h’(1)
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Derivative Calculus

09/22/20

Suppose u(t)=w(t^2+2) and w’(3)=8 Find u’(1)
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