Application of Derivatives
If x=−1and x=2are extreme points of f(x)=αlog∣x∣+βx2+x, then
The distance covered by a particle moving in a straight line from a fixed point on the line is s, where s2=at2+2bt+⋅ Then prove that acceleration is proportional to s−3˙
Let 0<a<b<2πI˙ff(x)=∣tanxtanatanbsinxsinasinbcosxcosacosb∣,then find the minimum possible number of roots of fprime(x)=0 in (a,b)˙
Prove that there exist exactly two non-similar isosceles triangles ABC such that tanA+tanB+tanC=100.
On the curve x3=12y, find the interval of values of x for which the abscissa changes at a faster rate than the ordinate?