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Use Derivatives To Find Rates Of Change

  If f(t)=t2+1 is the position in meters of an object at time sec,  then find the velocity of the object at time 10 sec.

 Suppose the demand curve for widgets was given by D(p)=1/p, where D is the quantity of widgets, in thousands, at a price of p dollars. Find rate of change of D at p=$2.

  If v(t) =t3+1 is the velocity in meters of an object at time sec, then find the acceleration of the object at time 3 sec.

If v(t)=2t2+1is the velocity in meters of an object at time sec,   then find theaccelration of the object at time 6 sec.

Suppose the demand curve for widgets was given by D(p)=1/p, where D is the quantity of widgets, in thousands, at a price of p dollars. Find rate of change of D at p=$1.

Suppose the demand curve for widgets was given by D(p)=1/p, where D is the quantity of widgets, in thousands, at a price of p dollars. Find rate of change of D at p=$3.

If f(t) =4t+1is the position in meters of an object at time sec,  then find the velocity of the object at time 5 sec.

 If v(t) =2t2+1 is the velocity in meters of an object at time sec, then find the acceleration of the object at time 4 sec.

  If f(t) =t2+1 is the position in meters of an object at time sec, then find the velocity of the object at time 6 sec.

If f(t) =t2+1 is the position in meters of an object at time sec, then find the velocity of the object at time 3 sec.