Question: "for the following functions, determine the locations of relative extrema, either minimum or maximum, and find their values" for k(x)=(ln3x)/(2x^2) The...

Question: "for the following functions, determine the locations of relative extrema, either minimum or maximum, and find their values" for k(x)=(ln3x)/(2x^2) The...

The rate at which ice is melting in a pond is given by dV/dt= √(1+2t), where V is the volume of ice in cubic feet, and t is the time in minutes. What amount of ice has melted in the first...

dx , d2fdx2 , and d3fdx3 for the function f(x)=x2−5x+6 And f(x)=7x−2x8

A firm estimates that the total revenue, R, received from the sale of q goods is given by ln(1+1100q^2). Calculate the marginal revenue when q=20. I got R'=1100/1+1100q^2 And...

The value of a certain automobile purchased in 1997 can be approximated by the function V(t) equals 25 (0.88)^t , where t is the time, in years, from the date of purchase, and V (t) is the value,...

Find the derivative of the function f(x)=(x+1)^104

Find the equation of the tangent line to y=e^-4t at t=0

I would like to know if it is any possibility to use Arc cos hyperbolic in derivative of Arc sine hyperbolic ?

Y=(sin5x)^2x , find dy/dx

Let f(x)= -5ln(6x) I can't figure out how to find the fourth derivative. f'(x)= -5/x f'(4)= ___

Consider a growing bacterial cell that is producing a protein involved in binary fission. Suppose that, at a particular point in time, a bacterial cell has a volume of 1000 µm3 (microns...

The Chain Rule for antiderivatives is also known as the ___________________ rule. -derivative -substitution -product -integral

Using the second order derivative equation: ( (d2y)/(dx2) )-9y=o Which of the following would be true? y= e3x y=e-3x y=2e-3x ...

The de?finitions of derivative of two functions f and g are given by: f' (x) = lim f(x + Δx) - f (x) / Δx , g'(x) = lim g(x + Δx) - g(x) / Δx ...

Mostly having trouble with the x1x2 and x1x3 derivatives for some reason, so some explanation there would be helpful.

Find the derivative of the following functions: d^2 / dx2 (x sin x)

Use linear approximation and differential to approximate: sin 31`

(a) Find the average velocity of the particle over the interval [1; 3] seconds. (b) Find the instantaneous velocity of the particle at t = 1 second.

(a)Find the slope of the tangent to the graph of f at a general point x0 using the definition of limits. (b) Use the result in part (a) to find the slope of the tangent line at x0 = 1:

Also, find the maximum or minimum value of f(x). Sketch the graph and label the critical point/s.

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