Question
Differentiate with respect to .
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Question 4
Repeated roots : If equation f(x) = 0, where f(x) is a polyno- mial function, has roots root is repreated root, then f(x) = 0 is equivalent to from which we can conclude that has root . Thus, if root occurs twice in the, equation, then it is common in equations f(x) = 0 and f'(x) = 0. Similarly, if root occurs thrice in equation, then it is common in the equations f(x)=0, f'(x)=0, and f'''(x)=0. If x-c is a factor of order m of the polynomial f(x) of degree n , then x=c is a root of the polynomial [where represent rth derivative of f(x) w.r.t. x]
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Question Text | Differentiate
with respect to
. |