- #1
slain4ever
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Homework Statement
Q1. using implicit diff to find dy/dx when x^2 y + 6xy^2 = 5x-2
Q2. Find max and min values of y= x^3 -3x^2 -6x + 7 on the interval -3<=x<=5
Q3.Find the exact values of the x coordinate of the points of inflexion on the graph of y = 2x^4 +3x^2 +x +5
Q4. a red car is traveling east from a point at 60kph while a blue car is traveling north away from the point at 60kph. if the red car is 3km from the point and the blue car is 4km from the point at what rate is the distance between the cars changing?
The Attempt at a Solution
Q1. ? no clue, differentiate each part seperately or something like that
Q2. differentiate the equation substitute this into the quadratic formula and get two values (62.76 and 5.24) but according to this there is nothing that fits into the interval so i must have done it wrong.
Q3. Derive it twice, substitute into quadratic formula and find two value for x.. Then do something else which I am not sure of.
Q4. something to do with s^2 = x^2 + y^2 and deriving for ds/dt but I am not sure if this is correct or even how to do it.
Any help would be greatly appreciated.