motion (all one question)
find a function for the velocity and acceleration of the particle given the equation s(t)=2t3-3t2-36t
what is v(t)=6t2-6t-36 and a(t)=12t-6
what is dy/dx of x3y-2x2+y4=8
what is dy/dx= -3x2y+4x/x3+4y3
determine dy/dx for y=e2x
what is dy/dx=2e2x
determine the derivative of each function
y=cos-1(x2)
what is -2x/√1-(x4)
(the whole denominator is under the square root)
determine the derivative of x7-5x3+2/x3+9
What is 7x6-15x2-6x-4
when t=1, is the particle's velocity increasing or decreasing?
what is increasing; because v'(t)=a(1)>0
determine dy/dx of x=sin(y)
what is dy/dx (1/cos(y))
determine dy/dx for y=ln(X2)
what is dy/dx=2x/x2
determine the derivative for the function
y=sin-1(3t)
what is 3/√1-9t2
(the whole denominator is under the square root)
determine dy/dx of y=(3x2-2)(x2+5x-8)
what is 2x3+45x2-52x-10
when t=1, is the particle's speed increasing or decreasing?
what is decreasing; because v(1) is negative and a(1) is positive
what is 9/4
determine dy/dx for y=e2x/3
what is dy/dx= 2/3e2x/3
determine the derivative of the function
y=tan-1(x3)
what is 3x2/1+x6
determine dy/dx of y=x2-4/5x-3
what is 5x2-6x+20/(5x-3)2
when does the particle change direction?
what is t=3 because v(t) changes from negative to positive
determine dy/dx for 2x3+x2y+y2=4 on points (-1,2)
what is -2/5
determine the dy/dx for y=ln(x+2)
y=(sin-1x)2
what is 2sin-1x/√1-x2
(the whole denominator is under the square root)
determine the derivative of y=(4x3-7x)2018
what is y'=2018(4x3-7x)2017*(12x2-7)
what is the total distance traveled over the interval [0,6]?
what is 270 unites
determine dy/dx of X2/3+Y2/3=1
what is dy/dx= X-1/3/Y-1/3
determine the dy/dx for y=e5ln(x)
what is dy/dx=5x4
determine the derivative for the function
y=(1+x2)arctanx
what is 1+2xarctanx
determine the derivative of y=cos7(tan(3x))
what is y'=7(cos(tan(3x)))6*(-sin(tan(3x)))*sec2(3x)*3