Take the above function. If x=1, the velocity is 0 and position is -22. FInd v(t) at any time. Find x(t) at any time. I have no clue how to answer this. Absolutely no...

Take the above function. If x=1, the velocity is 0 and position is -22. FInd v(t) at any time. Find x(t) at any time. I have no clue how to answer this. Absolutely no...

A farmer’s barn is 60 feet long on one side. He has 150 feet of fence and wishes to build two adjacent rectangular pens of equal area along that side of his barn. What should be the arrangement and...

A curve has equation y=(x2+1)4+2(x2+1)3. Show that dy/dx=4x(x2+1)2 (2x2+5) and hence show that the curve has one stationary (critical) point. State the coordinates of the stationary...

VOLUME : A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is (a) 30 cm...

(1 point) Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is...

Find (f −1)'(a). f(x) = 4x^3 + 4x^2 + 3^x + 4, a = 4

So far I have: y=-2+5 y1 = (-2(x+h)+5-(2x+5))/h (-2-2h+5-2x-5)/h (-4x-2h)/h If I set h=0 it becomes -4x/0 which...

Just need the first derivative of this function, struggling with there to begin

F (x)=(12x-3)e^x

I am not sure how to do this. So far I did Cos(x^(1/2)^3 So I did the chain rule to make Cos(u) where u = x^(3/2) Then I got -Sin(sqrtx)^3*(3/2)x^(1/2) Which then simplifies to (-3Sin(sqrtx)(sqrx))/2 What...

U=2L1/2x C1/2

What is dy/dx for e^(x+y) =y

a) f(x) = 3x3 - 4√x + 1 b) f(x) = 2x (3x2 - x) c) f(x) = (x2 + x - 6) / &nbs...

the particle is moving along the curve y=sqrtx. As the particle passes through the point(4,2) its x-coordinate increases at a rate of 3cm/s. How fast is the distance from the particle to the...

f(x)=(4x-4)((5x^3)-(x^2)+1)

It says to eliminate one variable so I eliminated x. A=xy L2=x2+y2 x=(L2-y2)1/2 A=y*(L2-y2)1/2 =(L2y2-y4)1/2 Derivative =1/2(L2y2-y4)-1/2...

y=(4-2x-3x2)5 y'= 5(-3x2 -2x+4)4*(-6x-2) I used a online derivative calculatir to check my answer but it gave something completly different.

Hi, I tried solving this and got (1)/(2sqrt2) but my book says the answer is (3)/(2sqrt2)

Find the derivative of f(x) = sqrt(36-x^2) / 9x when x=2

pls help me find the derivative thanksss

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