find f'(x): f(x)=tan^-1(x^4)+(tanx^4)^-1+(tan^-1x)^4
find f'(x): f(x)=tan^-1(x^4)+(tanx^4)^-1+(tan^-1x)^4
approximate the change in the magnitude of the electrostatic force between two charges when the distance between them i increases from r=25 m to r=26 m (F(r)=0.02/r^2) Between r=25m...
Determine whether Rolle's theorem applies to the function shown below on the given interval. if so, find the point that are guaranteed to exists by Rolle's theorem. f(x)=1-x^2/3 ;[-1,1]
In the chemistry experiment using three materials, the amount of materials always satisfies the equation xz^2 = ln y, where x,y,z are the amount of three materials, respectively. Suppose at some time,...
Suppose the fish population in a lake has been modeled by a logistic function P(t) with carrying capacity 70 (t measured in month), and initially there are 7 fishes in the lake. After a month, there...
Water is leaking out of an inverted conical tank at a rate of 0.008 m^3/min. At the same time water is being pumped into the tank at a constant rate. The tank has height 14 meters and the diameter...
I found the derivative of f(3x) as f'(3x) * 3 I then got f'(3x)=2x Idk what to do now
I don't know how to figure this problem out.
y=(x)/(x2-4)1/2 i get y'=-4/(x2-4)3/2
triple integrals
The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, manufactured by Phonola Record Industries, is related to the price per compact disc. The equation p=...
find the derivative of f(x) = √x+1 at x = 0 the derivative is 1/2x2, but i want to know the long way f(x+h)/h-f(x)/h method, thanks in advance
(4, f(4)) if f '(4) = 0 and f ''(4) = 0, is this a relative minimum or can it not be determined?
From a thin piece of cardboard 48in by 48in square corners are cut out that so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum...
Let F(T) be the cost of heating your house, in dollars per day, when the average outside temperature is T Celsius degrees. (a) Make a rough sketch a possible graph of F(T). (There are many possible...
a) Sketch a function that has a positive first derivative for x < −5, a derivative of zero for −5 < x < 5 and a negative first derivative for x > 5. (b) Call this function f(x). On the...
The original equation is: cos(x^2y^2)/sin(x^2y^2)=2x I simplified it to cot(x^2y^2)=2 I used chain rule to get -csc^2u * du/dx and found du/dx= (2x^2yy'+2y^2x) new...
f(x) = x-1÷x+1 find the f(X)n
triple integrals
How do I find the polar coordinates of the points on the polar curve r=cos(theta)+sin(theta), 0(greater than or equal to)(theta)(less than or equal to)(pi), where the tangent line is horizontal...