Let s(t) = 8t³ +24t² - 192t be the equation of motion for a particle. Find a function for the velocity. Hint: To find the velocity, find the derivative of s(t) v(t) Where does the velocity equal zero? [Hint: factor out the GCF.] t and t Find a function for the acceleration of the particle. Hint: To find a function for the acceleration, find the derivative of v(t)... or the second derivative of s(t) a(t)

Q: Find the derivative of the function. y = 3ex - 6x

A: Given that  y=3e^x-6x To find the derivative of the function

Q: d y. d3y dy d'y dy (+() dy + y dt2" dt + b dt dt2 ay dt3 d/dt (5 %3D dt

A: Explained below

Q: e +e =e**

A:

Q: Find the derivative of the function. y = x−9 + x−6 − 2

A: Given : y = x-9+x-6-2

Q: d²y d²y dy + d dt. d dy dy = ay + by dt dt. dt dt2 dt2 dt

A: We find the value of a,b,c and d.

Q: Use the product rule to find the derivative of the function. (Hint: Write the quantity as a…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: (q) f(x) = sin(sin(sin(x)))

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 11. In y = e" sin x

A: