Use mathematical induction to prove the following statement derivatives of the function f(x) = x¯¹ (where x ‡ 0): f(n)(x) = (-1)"n! x-(n+1), for n = 1,2,.... bas nisme afeled out of 1 daiw 201

Q: of the function f(r) = (" – x)*. Find ao a. 12 Ob. O C. 6.

A: Let us consider the limit to be (0,2π) For the limit (-π,π)  the function is odd function so it will…

Q: How many of these injective functions are increasing? (i.e. if a<b then f(a) < f(b).

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Q: Let A = d e Assume that det (A) = -13, compute the following.

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Q: デー 3) f(x) = x ーオくXく Ans. 3

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Q: Let f(x)=V2x/x. Then f"(1)= Select one: 3 16 3 8/2 - 36 7 21 O None of the above

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Q: The domain of the function fod- tanh(17-) is (A, 198), Then The value of k- The value of A=

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Q: Let f(x)=x²-9x +4. Find f( − 1). f(-1)=

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Q: + 7 Find fix) if f"(x) = Nx+1. and f"C0) =1, fcO)=-1, fc0) =7. O cheet metal is to

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Q: Evaluate Hint: Use differentiation to show that n=1 (1 – x)-2 = nx"-! (for |x| < 1)

A: We have to show that 1-x-2=∑n=1∞nxn-1

Q: The derivative of the function In In(coth a? – 1) is

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Q: Let f :[-2,6] R be the function given by * if - 2sx<0 if 0sx< 2 4 -x if 2 sxs6. f(x) = 2.x For each…

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