xy Jarctan ху Jarctan (C) exy +√xyarccos (xy) f(x, y) = у xyex

An object is moving along a straight path that runs north and south .Its velocity, in feet per minute , is given by  v(t) 18-8t+3t^2, where north is the positive direction. After 10 minutes, is the object north of its starting position or south?

y = (x' - 2x² +3) (7x² – 4x)

Differentiate (x-2)2+(y-3)2=9 at (7/2, ((6+3√3)/2)). Then use it to determine the equation of the tangent line.

verify by differentiation

Find y' and y'' for 2x3-5y2=8

Find the first and second derivates of the functions. h(t) = t^4 - 7t^3 + 5t^2 - 8t - 14 h'(t)= h"(t)= g(t) = t^2(8t + 9)^4 g'(t)= g"(t)

Solve q. Find the derivative of f.

An Object moved in horizontal coordinate line according to f(x) = x^3 - 6x^2 , where f is directed distance from the origin in meters and x is the time in seconds. Find the velocity and the acceleration of the object? When is the object moving to the right? When is the object moving to the left? When is the acceleration negative?

A rocket is fired into the air from a table that is 3 feet above the ground with an initial velocity of 100 feet per second. This means that the position function is: h(t)=-16t^2 +100t+3 where the time t is measured in seconds. a)Find the velocity of the rocket when t= 2 seconds. b)Find the acceleration of the object when t = 2 seconds.