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Hello students.
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Today we will discuss about this question.
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In this question we are given that f of 0 is equals to 1, f of 1 is equal to 2, f of 2 is equal to 1 and f of 3 that is equals to 10.
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Now here we need to find f dash of 1 is equal to question mark by using the lagrange interpolation polynomials.
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So here first of all we know that f of f.
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F.
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Of f.
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X that is equals to summation i is equals to 0 to 3 .5 f i so la grandez of 3 .0 of x that is equals to x minus 1 x minus 2 x minus 3 divided by 0 minus 1 0 minus 2 0 minus 3 so that is equals to x minus 1 x minus 2 x minus 3 divided by minus 6 now, lagrange of 3 .1 of x, that is equals to x, x minus 2, x minus 3 divided by 1, minus 1, multiplied by minus 2.
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So that is equal to x, x minus 2, x minus 2, x minus 3 divided by 2.
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Now, lagrange of 3 -2 of x, that is equals to x minus 0, x minus 1, x minus 3 divided by 2 multiplied by 1, multiplied by minus 1...