Assume x and y are functions of t. Evaluate dy/dt with 4xy-5x+6y^3=-126, with dx/dt=-18, and x=6,y=-2...

Assume x and y are functions of t. Evaluate dy/dt with 4xy-5x+6y^3=-126, with dx/dt=-18, and x=6,y=-2
A retail store estimates that weekly sales and weekly advertising costs x are related by s=50,000-30,000e^-0.0004x. The current weekly advertising costs are $2,500, and these costs are increasing at a rate of $400 per week. Find the current rate of change of sales per week.
Use implicit differentiation to find y’ for the equation below and then evaluate y’ at the indicated point, (-4,4). y^2+5y+9x=0
Find the indicated derivative and simplify. Y’ for y=3x-8/x^2+6x
Use implicit differentiation to find y’ and evaluate y’ at (-2,-3). 3xy+y-15=0
f(x)=8√ 2x^2+3
The demand x is the number of items that can be sold at a price of $p. For x=p^4-6p+1000, find the rate of change of p with respect to x by differentiating implicitly. The rate of change of the price p with respect to the demand x is?
Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given by C=80,000+30x, R=200x-x^2/20, where the production output in 1 week is x calculators. If production is increasing at a rate of 600 calculators per week when production output is 4,000 calculators. Find the rate of increase in cost, revenue, profit.

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milcah answered 1 year ago

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