NCERT Solutions for Class 12 Maths Exercise 6.4 Application of Derivatives

Method of Mathematical Induction: Mathematical induction is a method of mathematical proof that is used to establish that any given statement is true for all...

More about Logarithms: There are certain processes in nature where the growth/decay of some quantity has very peculiar properties, for example, the rate of growth...

Axiomatic Approach to Probability: Probability is the certainty that an event will occur. It is a field of Mathematics dealing with numerical explanations of the...

Composition of functions: When we perform algebraic operations on functions, it results in a new function. In a similar way, we can create new functions...

Different types of linear programming problems: Linear programming, often known as linear optimisation, is a technique for finding the best solution to a mathematical problem...

Combinations: You may have noticed that people around you have specific combinations as their preferences. For example, my father likes to eat dosa with sambar, and...

Comparing Quantities: In everyday life, we come across many situations, quantities, activities, etc. Many times, we need to compare and measure these quantities. The comparison...

Cubic Polynomials: Polynomial is derived from the Greek word. "Poly" means many and "nomial" means terms, so together, we can call a polynomial as many...

Properties of Multiplication: Multiplication is one of the four basic operations in arithmetic. So, it is very crucial for young minds to grasp the concepts...

Thrust and Pressure: Have you ever noticed how our feet get trapped in loose sand, but a camel can effortlessly move on it? Why do we...

You have landed on the right page to learn about 4-Digit Numbers. Counting things is easy for us now. We can count objects in large...

SI Units: The International System of Units (SI system) Is the collection of seven physical quantities that serve as the foundation for all other physical...

Iodoform was invented in 1822. Electrolysis of aqueous solutions containing acetone, inorganic iodides, and sodium carbonate is used to make it. Iodoform is a pale...

Spices and Condiments: Spices and condiments play an important role in every individual's life. Have you ever wondered how mom prepares delicious food daily? Which...

Vernalisation: In plants, it is not just light that influences flowering, but the temperature is another vital factor that affects the development of a flower....

Soil Types: Soil is a natural resource broadly defined as the loose top layer of the earth made up of disintegrated rock, humus, inorganic and...

Microsporogenesis: Have you ever handled a flower's dehisced anthers, whether Hibiscus or another? The golden dusty or powdery substance on your fingertips is pollen grains,...

Atomic Number and Mass Number Overview: Atoms are the building block of matter, and they combine in numerous forms to form different substances. You must...

Uncertainty in Measurement in Chemistry: It is possible to know exact numbers when measuring whole counting numbers of identifiable objects such as eggs, bananas, tables,...

Shortest Distance Between Two Lines: The meaning of distance between two lines is how far the lines are located from each other. A line is...

Non-Standard Units of Length: The measuring system is the collection of units of measurement and the rules that link them together. There are various ways...

CBSE Class 5 Maths Syllabus: Mathematics is one of the most crucial subjects, particularly from Class 5 onwards, as it teaches logic and reasoning. If you...

CBSE Syllabus for Class 1: Class 1 forms the building block for students in their educational journey. It is the beginner's stage where students start...

Ungrouped Data: When a data collection is vast, a frequency distribution table is frequently used to arrange the data. A frequency distribution table provides the...

Successive differentiation: The higher-order differential coefficients are of utmost importance in scientific and engineering applications. Let \(y=f(x)\) be a function of \(x.\) Then the result...

Factorization by Splitting the Middle Term: The method of Splitting the Middle Term by factorization is where you divide the middle term into two factors....

Volumetric Calculations: Do you know how soap is manufactured? The manufacture of soap requires a particular number known as the saponification number. It is the...