Applications of Derivatives

Students who have studied Maths in class 12th and even 10th must be acquainted with the Real-Valued Functions as a large part of it was discussed in these classes. However, if not, then in this article, we will be explaining the Real-Valued Functions in detail, so make sure you do not skip any part. Real-valued […]

The applications of derivatives are numerous and diverse, not only in mathematics but also in everyday life. Derivatives have a variety of important applications in mathematics, including the determination of the rate at which a quantity changes, the determination of the approximate value, the determination of the equation of Tangent and Normal to a Curve,

Derivatives can be used to express the rate of change of quantities. One of the most common uses of derivatives is calculating the rate of change of one quantity about another. The chain rule can also be used to calculate the rate of change of a function concerning another quantity. The change in quantity concerning

If a quantity y is dependent on and fluctuates with respect to another quantity x, then the rate of change of y with respect to x is dy/dx. The rate of change of pressure p with respect to height h, for example, is dp/dh. A rate of change in relation to time is simply referred

Rolle’s theorem says that if a differentiable (real-valued) function has equal values at two different places, it must have at least one fixed point between them, that is, a position where the first derivative (the slope of the tangent line to the function graph) is zero. Michel Rolle, a French mathematician, is the name of

Calculus employs the product rule to differentiate functions. The product rule is employed when a given function is the product of two or more other functions. This rule, which was discovered by Gottfried Leibniz, allows us to calculate derivatives that we don’t want (or are unable to) multiply rapidly. With another way of putting it,

Calculus employs the product rule to differentiate functions. The product rule is employed when a given function is the product of two or more other functions. If the issues are a combination of two or more functions, the Product Rule can be used to find their derivatives.Simply put, the term “product” refers to the combination

Calculus employs the product rule to differentiate functions. The product rule is employed when a given function is the product of two or more other functions. If the issues are a combination of two or more functions, the Product Rule can be used to find their derivatives.Simply put, the term “product” refers to the combination

Power function helps calculate the space and time required by the manufacturing companies to produce a certain amount of goods designed for a specific purpose. The power functions consider the relationship between variables raised to some power, i.e., an actual number, some constants, and coefficients. This representation can be simple or complex depending on the power function

An expression composed of indeterminates (also known as variables) and coefficients, a polynomial is a mathematical expression that includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial with a single indeterminate x is represented by the expression x2 – 4x + 7. For instance, in three variables, the