Consider . Determine the value of for which the instantaneous rate of change of at…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Consider

h(t)=b e^{2t}-t

. Determine the value of

b

for which the instantaneous rate of change of

h

t=0

equals the average rate of change of

h

over the interval

[0,1]