Class 12 Maths Formula for chapter-6 Application of Derivatives
This page is prepared by expert faculty member of physics wallah, we have carefully selected all important formula and equations of chapter Application of Derivatives and uploaded the pdf of formula sheet for class 12th maths chapter Application of Derivatives .
Students and aspirants can download the free pdf of class 12th maths chapter Application of Derivatives formula sheet which consist of all important formula of chapter Application of Derivatives very useful for quick revision and helpful to retain all important formula for long time. Physics Wallah prepared NCERT solutions for reference use try to solve questions from exercise with the help of NCERT Solutions for class 12 Maths prepared by physics wallah.
Application of Derivative
Increasing and Decreasing Functions
Let function f, continuous in [a,b] and differentiable on the open interval (a,b), then
- f is increasing in [a,b] if f'(x)>0 for each x in (a,b)
- f is decreasing in [a,b] if f'(x)< 0 for each x in (a,b)
- f is constant function in [a,b], if f'(x) = 0 for each x in (a,b)
Frequently Asked Question (FAQs)
Q1. What is the derivative formula?
Ans. Derivatives are a fundamental tool of calculus. A derivative of a function of a real variable measures the sensitivity to change of a quantity, which is determined by another quantity. Derivative Formula is given as, f 1( x ) = Lim△ x → 0 f ( x + △ x ) − f ( x ) △ x.
Q2. What are the applications of Derivatives?
Ans. Applications of Derivatives in Maths
- Finding Rate of Change of a Quantity.
- Finding the Approximation Value.
- Finding the equation of a Tangent and Normal To a Curve.
- Finding Maxima and Minima, and Point of Inflection.
- Determining Increasing and Decreasing Functions
Q3. What is Derivatives maths class 12?
Ans. The rate of change of a y concerning another x is called the derivative or differential coefficient of y with respect to x.
Q4. What is the limit formula?
Ans. Consider y = f (x) as the function of x. If in point x = a, f (x) takes an indefinite form, then we can consider the values of the function which is closest to a. If these values are inclined to a specific unique number as x tends to, that unique number is called the f (x) limit of x = a.
Q5. How do you solve derivation?
Ans. Following are the steps mentioned below:
- Divide both sides of the equation px2 + qx + r = 0 by p.
- Transpose the quantity c/a to the right side of the equation.
- Complete the square by adding b2 / 4a2 to both sides of the equation.
- Factor the left side and combine the right side.
Download the Pdf Class 12 Maths formula sheet for Chapter-6 Application of Derivatives