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Engineering Mathematics – I

Engineering Mathematics I Dr. V. Lokesha 10 MAT11 1 2011 Engineering Mathematics I (10 MAT11) LECTURE NOTES (FOR I SEMESTER B E OF VTU) VTU-EDUSAT Programme-15 Dr. V. Lokesha Professor and Head DEPARTMENT OF Mathematics ACHARYA INSTITUTE OF TECNOLOGY Soldevanahalli, Bangalore 90 Engineering Mathematics I Dr. V. Lokesha 10 MAT11 2 2011 ENGNEERING Mathematics I Content CHAPTER UNIT I DIFFERENTIAL CALCULUS I UNIT II DIFFERENTIAL CALCULUS II UNIT III DIFFERENTIAL CALCULUS III

Engineering Mathematics – I Dr. V. Lokesha 10 MAT11 8 2011 Leibnitz’s Theorem : It provides a useful formula for computing the nth derivative of a product of two functions. Statement : If u and v are any two functions of x with u n and v n as their nth derivative. Then the nth derivative of uv is

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