Application of Derivatives
A fence of fixed length enclosing the largest field and a box holding the most grain both ask the same question. Chapter 6, Application of Derivatives, of the NCERT Mathematics textbook for Class 12 answers it with calculus. You will use the derivative to study rates of change, test when a function is increasing or decreasing, and find equations of tangents and normals. First and second derivative tests locate local and absolute maxima and minima, differentials estimate approximate values, and solved problems on area, volume and profit turn optimisation into a reliable procedure.
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