6. A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2 m and volume is 8 m3. If building of tank costs Rs 70 per sq metres for…
5. Find the maximum area of an isosceles triangle inscribed in the ellipse (frac{x^2}{a^2}+frac{y^2}{b^2}=1) with its vertex at one end of the major axis. Application of Derivatives Miscellaneous Exercise Previous Next Class 12 Application of Derivatives Miscellaneous Exercise 1. Show…
4. Find the intervals in which the function f given by (fleft(xright)=x^3+frac{1}{x^3},xneq0) is(i) increasing (ii) decreasing. Application of Derivatives Miscellaneous Exercise Previous Next Class 12 Application of Derivatives Miscellaneous Exercise 1. Show that the function given by (fleft(xright)=frac{log{x}}{x}) has maximum…
3. Find the intervals in which the function f given by (fleft(xright)=frac{4sin{x}-2x-xcos{x}}{2+cos{x}}) is (i) increasing (ii) decreasing. Application of Derivatives Miscellaneous Exercise Previous Next Class 12 Application of Derivatives Miscellaneous Exercise 1. Show that the function given by (fleft(xright)=frac{log{x}}{x}) has…
2. The two equal sides of an isosceles triangle with fixed base b are decreasing at the rate of 3 cm per second. How fast is the area decreasing when the two equal sides are equal to the base ?…
1. Show that the function given by (fleft(xright)=frac{log{x}}{x}) has maximum at x=e. Application of Derivatives Miscellaneous Exercise Previous Next Class 12 Application of Derivatives Miscellaneous Exercise 1. Show that the function given by (fleft(xright)=frac{log{x}}{x}) has maximum at x=e. 2.…
