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HOW TO FIND THE TOTAL ROOTS BY USING DIFFERENTIATION METHOD AND THERE TYPES ALSO. ALSO EXPLAIN WHAT ARE INTEGRAL ROOTS HOD TO FIND THEM

HOW TO FIND THE TOTAL ROOTS BY USING DIFFERENTIATION METHOD
AND THERE TYPES ALSO.
ALSO EXPLAIN WHAT ARE INTEGRAL ROOTS HOD TO FIND THEM

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
To find the roots of equation in the given interval, you can use Rolle’s theorm & langrange mean value theorm. In the interval [a, b], for some c in the interval
f'(c) = \frac{f(b)-f(a)}{b-a}
You can solve for ‘c’ & find the roots of equation. Other method is the Newton’s method which is also related to the differentiation. In this method, 1styou draw the graph, see the approximate roots & then try to approximate the intecept of slope with roots.
Integral roots are roots whose values of integer like 1, 2, 3 etc.
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

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