6. A tank with rectangular base and rectangular sides, open at the top is to be constructed so
Category: class 12
Ncert Solutions Class 12 chapter 6 Application of Derivatives Miscellaneous Exercise Question 5
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
Ncert Solutions Class 12 chapter 6 Application of Derivatives Miscellaneous Exercise Question 4
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
Ncert Solutions Class 12 chapter 6 Application of Derivatives Miscellaneous Exercise Question 3
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
Ncert Solutions Class 12 chapter 6 Application of Derivatives Miscellaneous Exercise Question 2
2. The two equal sides of an isosceles triangle with fixed base b are decreasing at the rate
Ncert Solutions Class 12 chapter 6 Application of Derivatives Miscellaneous Exercise Question 1
1. Show that the function given by (fleft(xright)=frac{log{x}}{x}) has maximum at x=e. Application of Derivatives Miscellaneous Exercise https://youtu.be/bUtNL3m4BP8
ncert-solutions-class-12-chapter-5-continuity-and-differentiability-miscellaneous-exercise-question-22
22. If (y=e^{a{cos}^{-1}{x}}), (-1le xle1), show that (left(1-x^2right)frac{d^2y}{dx^2}-xfrac{dy}{dx}-a^2y=0). Continuity and Differentiability Miscellaneous Exercise Previous Next Class 12 Continuity
ncert-solutions-class-12-chapter-5-continuity-and-differentiability-miscellaneous-exercise-question-21
21. If (y=left|begin{matrix}fleft(xright)&gleft(xright)&hleft(xright)\l&m&n\a&b&c\end{matrix}right|), prove that (frac{dy}{dx}=left|begin{matrix}f'(x)&g'(x)&h'(x)\l&m&n\a&b&c\end{matrix}right|). Continuity and Differentiability Miscellaneous Exercise Previous Next Class 12 Continuity and Differentiability
ncert-solutions-class-12-chapter-5-continuity-and-differentiability-miscellaneous-exercise-question-20
20. Does there exist a function which is continuous everywhere but not differentiable at exactly two points? Justify
ncert-solutions-class-12-chapter-5-continuity-and-differentiability-miscellaneous-exercise-question-19
19. Using the fact that (sin{(A+B)}=sin{A}cos{B}+cos{A}sin{B}) and the differentiation, obtain the sum formula for cosines. Continuity and Differentiability