Application of Derivatives
Find local maximum and local minimum values of the function f given byf(x)=3x4+4x3−12x2+12.
The total revenue in Rupees received from the sale of x units of a product is given by R(x)=3x2+36x+5. The marginal revenue, when x=15 is.
The approximate change in the volume of a cube of side x metres caused by increasing the side by 3% is :
Find the points of local maxima or local minima and the corresponding local maximum and minimum values of each of the following functions:
Sand is pouring from a pipe at the rate of 12cm3/s. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4cm.