Grade 12Differential Calculus

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

Aman Deep Singh

16 Years agoGrade 12

1 Answer

Jitender Singh

12 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, 1^styou 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

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