Find the derivatives of the function y = 2x\(^2\)(2x - 1) at the point x = -1?

If s = (2 + 3t)(5t - 4), find ds/dt when t = 4/5 secs

The distance traveled by a particle from a fixed point is given as s = (t\(^3\) - t\(^2\) - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point?

If y = x sinx, find \(\frac{dy}{dx}\)

What value of x will make the function x(4 - x) a maximum?