Thread: Can someone help me with rate of change??

The problem is:
If h(t) represents the height of an object above ground level at time t and h(t) is given by: h(t)= -16t^2 + 12t + 1. FInd the height of the object at the time when the speed is zero.

Also I dont understand the whole prime thing. For example, how would the following question be solved:
Suppose G(x)= 4x^2 + x + 4. Find a number B such that G'(b)=7.

dewd you need to go to class


lim h->0 [f(x+h) - f(x)]/h

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take your derivative of h(t). h'(t)= -18t + 12. set it equal to zero, can you figure that out?

do the same thing for the next one.