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Use Derivatives To Find Rates Of Change

 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 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.

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 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 10 sec.

  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 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+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.