Higher Order Derivatives

Front

Find the second derivative of the function y=3x⁴ with respect to x.

Back

36x²

Front

Find f "'(x) when f(x)=10x⁵ +3x⁴ -5x³ +2x² -10x+6

Back

600x² +72x -30

Front

Given the position function of f(x) = -12t²+36t+100. Find the acceleration of the object.

Back

-24

Front

Find the second derivative of the function:
f (x) =  2x - 5x⁶

Back

f ''(x) = -150x⁴

Front

If the position of a particle is represented by x(t) = -t² + 1, what is its instantaneous velocity at t = 1?

Back

v = -2

Front

The position of an object is given as a function of time by x = 3t² + 5t³ - 2t. What is the acceleration of the object at time t = 2 s?

Back

66 m/s/s

Front

Find the second derivative of the following function with respect to x: y=(x³+x)/x²

Back

2/x³

Front

Find the derivative:
f(x) = (-2/3)x³ - (1/2)x² + 9x

Back

-2x² - x + 9

Front

The velocity of an object is given as v = 2t + 3t³. What is the acceleration of the object at t = 2 s?

Back

38 m/s/s

Front

If the position function for a particle is s(t) = -t² - t, what is the instantaneous velocity function for the particle?

Back

v(t) = -2t - 1