NCERT

Differential Equations include various important topics which are important for class 12 boards as well as competitve exams. There are several important topics including order and degree of differential equations, general and particular solutions, variables separable method, homogeneous equations, and linear differential equations. Questions related to these topics are frequently asked in CBSE board exams.

According the Chapter 10 Thermal Properties of Matter, there are three primary methods of heat transfer - radiation, convection, and conduction. Convention takes place in fluids, conduction in solids, and radiation does not require a medium and involves the emission of electromagnetic waves. Each method plays a role in engineering applications like heating systems, insulation, and solar devices, and in natural phenomena. These methods operate under different physical principles.

Calorimetry is used to measure the amount of heat exchanged in the chemical or physical process. It is used to determine the heat transferred from or to a substance. It is useful in determining latent heat, specific heat, and energy changes in reactions. The principle is based on the law of conservation of energy, stating that in an isolated system, the hotter object's heat lost is exactly equal to the cooler one's heat gained, provided there is no exchange of heat with surroundings. 

The amount of heat needed to increase the temperature of one kilogram of a substance by one degree Celsius (or one Kelvin) is the specific heat capacity. It is measured in J/kg·K and it is a material-specific property. Substance with high specific heat makes them useful in thermal regulation systems such as water takes longer to heat or cool.
The formula is Q=mc? T, where m is mass, c is specific heat, and? T is the temperature change.

While preparing the Shiksha's NCERT Solutions for Applications of Derivatives, our experts have focused to make them easy to understand, complete, and crysatal clear concptual resource. Our NCERT Solutions provide simple and step-by-step explanations of the quesrtions of the exerrcise. 

Students can tak ehelp of our Solutions to understand topics like increasing/decreasing functions, tangents, normals, and maxima/minima with clarity. Shikhsa's NCERT solutions strictly follow the latest CBSE  2025 syllabus, making them ideal for board exam preparation as well as for basic competitive exam prep.

Students should use our NCERT Applications of Derivatives Solutions to begin their JEE preparation as a resource to build strong foundation.  Our solutions follow the lates CBSE Class 12 syllabus which make them a complete resource for CBSE Boards prepaation, Yet for competitive exam like JEE, Student must go beyond NCERT and refer to advanced-level books like arihant, cengage or coaching material availble to them.

? Shiksha's NCERT Solutions for Class 12 Applications of Derivatives are designed to serve a holistic mathematical guide for the chapter for all students. That's whay our solutions focus on providing step-by-step textual explanations for each exercise as well as visual representation on 2D graphs along with solutions for better understanding .

We help students with all kinds of problems including those involving increasing/decreasing functions, tangents, normals, and maxima/minima, there is graphical method explanations attached whenever neccessary in image form in the solutions.?

Class 12 Applications of Derivatives chapter focuses on using derivatives and its concepts to solve real-life problems like rate of change, maxima and minima, increasing/decreasing functions, and finding tangents/normals of the curves at any given co-ordinates. Application of Derivatives is one of the most essential chapter for overall understanding of class 12th calculus unit. 

Continuity and Differentiability is one of the most important chapters for CBSE Class 12 Maths board exams. Continuity and Differentiability carries significant weightage of around 6-8 marks in the class 12 board exams. Students can use our Class 12 Math Continuity and Differentiability NCERT Solutions for their benefits, to better preparation and conceptual clarity. students can secure good marks from this chapter by clearing the basics with the help of out NCER Solution prepared by experts in Shiksha.