Category: 3. Applications of Derivatives

By using derivatives, we can find out if a function is an increasing or decreasing function. The increasing function is a function that seems to reach the top of the x-y plane whereas the decreasing function seems like reaching the downside corner of the x-y plane. Let us say we have a function f(x) which…

Application of derivatives is also helpful in finding the maxima, minima, and point of inflection of a curve. Maxima and minima are the peaks and valleys of a curve, whereas the point of inflection is the part of the curve where the curve changes its nature(from convex to concave or vice versa). We can find…

The equation of tangent and normal line to a curve of a function can be calculated by using the derivatives. If we have a curve of a function and we want to find the equation of the tangent to a curve at a given point, then by using the derivative, we can find the slope…

Derivative of a function can be used to find the linear approximation of a function at a given value. The linear approximation method was given by Newton and he suggested finding the value of the function at the given point and then finding the equation of the tangent line to find the approximately close value…

Derivatives are used to find the rate of changes of a quantity with respect to the other quantity. By using the application of derivatives we can find the approximate change in one quantity with respect to the change in the other quantity. Assume we have a function y = f(x), which is defined in the interval [a,…

In maths, derivatives have wide usage. They are used in many situations like finding maxima or minima of a function, finding the slope of the curve, and even inflection point. A few places where we will use the derivative are given below. And each of it is explained in detail in the following sections. The…

Applications of derivatives are varied not only in maths but also in real life. To give an example, derivatives have various important applications in Mathematics such as to find the Rate of Change of a Quantity, to find the Approximation Value, to find the equation of Tangent and Normal to a Curve, and to find…