3. A fundamental set of solutions of x' : 2 x is: 4 (a) {e (» {* (1)· [- (}) * (})]} () {**(;)· [- (1) 1 -2 -3t -3t + te-3t e3t + te3t 2 + tet 2 (: )} -2 + test 3t 3t 1 (e) None of the above.

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A: I am attaching image so that you understand each and every step.

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Q: 3) Using Quotient Rule ()'=€'gfg),find (±)' = (3×/eX)' = A) (3/e)X[In3-1] B) (3/e)x-1 C) 3×ln3/eX D)…

A: Topic:- derivatives

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A: (A) The derivative h'x can be represented as follows: h'x=f'gx·g'x

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A: Given,           gx=3x-3-2

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A: Explanation is given below..

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Q: 1) (a) If f is one-to-one and f(-15) = 2, then f '(2) : and (f(-15)) is one-to-one and g(3) 7, then…

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A: The Product Rule:The Quotient Rule:

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Q: 1) f(x)= (x3+2x)6, Then Find f''(x)

A: As per our guidelines we are suppose to solve first question. Kindly repost the other question as…

Q: Find the unique anti-derivative F of 2e5x – 2e²x + 4e−3x e2x f(x) for which F(0) 1. F(x) 2. F(x) 3.…

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