If f(x)=3sin(x) + 4(x)^x, find f'(3)

If f(x)=3sin(x) + 4(x)^x, find f'(3)

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 16 cm. (Note the answer...

There is a line through the origin that divides the region bounded by the parabola y = 4 x - 2 x^2 and the x-axis into two regions with equal area. What is the slope of that line?

an olympic athlete ingests an illegal substance at 10:00 pm Friday evening. The amount of the substance in the athlete's body after t hours is determined by the function f(t)=100-30ln(1+t). If...

So I have a problem where there is a right triangle with the height (4500ft) and the rate at which the angle is changing (pi/180radians per second) and I need to find the ground speed. I figured...

i just cant get why i got this wrong and i cant find the answer online, please tell me the answer and how to do this step by step, thank you so much!!

the derivative or the slope to the function or the function for the tangent line is -2x, using the power rule....however I understand that first(1,2) and (x,4-x^2) are similar..i.e if...

fin the limit of (1-cos2x-cos4x)/x as x->0 and show all work!

Question: A playing field is being constructed as a rectangle with semi-circles at each end. A 400m racetrack is to be built around the playing field. a) What radius of the semicircles...

find the integral 1/ (x* e^x ) dx

I need to see the steps for solving the following equation: Find the equation of the tangent line to the curve at the given points for y=x^2-1/x^2+x+1 (1,0). I know the answer...

The graphs of the polar curves r=3 and r=4-2sin(theta) are shown in the figure above. The curves intersect when theta=pi/6 and theta=5pi/6. a) Let S be the shaded region that is inside...

for the function f(x)=1/3(x+2)^2(x-3)^2, find the transition points, intervals of increase/decrease,concavity,and asymptotic behavior.

What can you conclude about the graph of f(x) from the following table? justify your answer -1 ...

Find the maximum value M and the minimum value m of the function in the given interval use sign charts to support your findings A) y=2 radical x- 3x ;[1,4] B)y=cube root of x+1 + the cube...

Every month, a particular interest-bearing account earns 0.2 percent interest on the average balance for that month. The function B(t) =7.5t^2 -300t +5000 represents one investor's balance...

Find the MacLaurin Series of f(x) = x3sin(x)

I am trying to understand what's best to start this problem.

que derivadas sales de la funcion y= sen x

how is the relationship between the central angle theta and the depth of an amount of liquid in a cylinder tank on its side h= r(1-cos(theta/2)?

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