Derivatives
What is the derivative of e^x
What is e^x
What is the integral of e^x
What is e^x
If the position of an object at time t is given by the function s(t)=10t^2+17t^3, find the rate of change of the object's position with respect to time
What is 20t +51t^2
Find the rate of change between the points (1,3) and (4,15)
What is 4
What is the derivative of 5x^2
What is 10x
What is the integral of x^5
What is x^6 / 6
When is speed increasing?
What is when velocity and acceleration are the same sign?
The height of an object is given by the function h(t)=−4t^2+20t+5, where h(t) is in meters and t is in seconds. Find the rate of change of the height at t=2.
What is 4 m/s
What is the derivative of secx?
What is secxtanx
What is the integral of x^9/10
What is x^10 / 100
The velocity of a car is given by the function v(t)=3t^2−5t+2, where v(t) is in m/s and t is in s. Find the acceleration of the car at t=4.
What is 19m/s^2?
Given the function f(x) = (2x + 3) / (x - 1) find the rate of change of the function at x=2.
What is -5
What is the derivative of lnx
What is 1/x
What is the integral of (x^-2)+(10x^−5)−8
What is (-x^-1) -((5/2)x^-4) -8x + c
The position of a particle moving along a straight line is given by s = t^ 3 – 6t^ 2 + 12t – 8. On what interval of t is the acceleration of the particle positive
What is t > 2 or (2,∞)
Water is being poured into a tank in the shape of a cone. The volume of water in the tank is given by V(t)=t^3+2t^2, where V is in liters and t is in minutes. Find the rate at which water is being poured into the tank at t = 4.
dV/dt = 3t² + 4t , t = 4, 64L/min
What is the derivative of a constant
What is 0
What is the integral of cos(3x + 4)
What is (1/3) sin(3x+4) + c
A particle moves with velocity v(t)=t²−4t+3. Determine the intervals on which the particle is speeding up.
(1,2) U (3,∞)
Find the instantaneous rate of change of the function f(x)=sin(x) at x=pi/4.
What is √2 / 2