Application of Derivatives
f(x)=[x] is step-up function. Is it a monotonically increasing function for x∈R?
If a,b are two real numbers with a<b , then a real number c can be found between aandb such that the value of
If water is poured into an inverted hollow cone whose semi-vertical angel is 300, show that its depth (measured along the axis) increases at the rate of 1 cm/s. Find the rate at which the volume of water increases when the depth is 24 cm.
Find the approximate change in the volume V of a cube of side x meters caused by increasing side by 1%˙