Introduction of Application of Derivatives | Mathematics
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The document provides an introduction to derivatives in calculus, highlighting their role as the slope at a point on a curve. It outlines historical contributions by Isaac Newton and Gottfried Leibniz and lists key applications of derivatives, including finding rates of change, tangent equations, and maximum/minimum values. For more detailed information, a link is provided for further resources.
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Introduction of Application of Derivatives | Mathematics
- 2. Derivative in calculus Derivative is the slope at a point on a line around the curve. It is a fundamental tool of calculus. If f(x) is the function then the derivative of it will be represented by fꞌ(x).
- 3. History of Derivatives Calculus was discovered by Isaac Newton and Gottfried Leibniz in 17th Century. But it was not possible without the early developments of Isaac Barrow about the derivatives in 16th century. Isaac Newton Gottfried Leibniz (1642-1727) (1646-1716)
- 4. Application of derivatives 1. to find the rate of change of a quantity 2. to find equation of tangent and normal for a curve at a point
- 5. 3. to find the interval in which a function is increasing or decreasing.
- 6. 4. to find turning point of a curve and hence find maximum and minimum values. 5. to find approximate values of a quantity.
- 7. Hey Friend, This was just a summary on Introduction of Application of Derivatives. For more detailed information on this topic, please type the link given below or copy it from the description of this PPT and open it in a new browser window. www.askiitians.com/iit-study-material/iit-jee-mathematics/differential- calculus/introduction-of-application-of-derivatives/