Let f(x) = ln(2e + 3). Then f-¹(x) equals None of the above 2/ln(e* - 3) In(e* - 3) In(e* - 3) In (-/-(e²-3))

Q: If f(x) = 6*, then f"(x) = A 6*(In6)3 B 6*(In6) (c) 6* 66 D (In6)3

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Q: Differentiate: f(x) = 2ª + e² + log, 5 f'(x) = 2" In 2+ e² A 1 ® f'(x)= 2" +e² + : 1 © f'(x)= 2" +…

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Q: 3. Which of the following exponential functions is NOT increasing on the entire real line? a. fAx) =…

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Q: 2. If f(x) = e*+ °, what is f"(x) ? x'+ 5

A: Given that f(x)=ex2+5 find out f11x

Q: +(n) = 3 (²³-9x² +33m - 18 enfor 1) Ⓒincreasing in (-0,0) (Ⓒineressing M- L decreasing in (2,8) in…

A: The function is given by:-Since, the natural log is present in the function.Domain of the function…

Q: Find f'(x). f(x) = (9 + In x) f'(x) = O

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Q: -7 Let f(x) 7xVI + f'(x)

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Q: 2(д-1)(1-и) 9-1)(2-и)и+1 log((q-1)(2—и)и+1) u? > 0 for u > Show that u E - 0, 1], q > 3

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Q: во Q7. Find f'(x)when f(x) = √logx 1 O * 1 (logx)= xin(10) O O 1 1 (logx) * xin (10) (logx) 6* O…

A: Given Expression is as follows As we know that

Q: 7 Let f(x) = Find f'(x). (8x2 + 2x – 6)* f'(x) =

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Q: Let f(x) - 6e* +2 + e'. f'(0) =

A: The given function is f(x)=-6ex+2+e1

Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of…

Q: etx +1 Differentiate the function f(x) = In e* +1 O e*+1 4ex +1 4e4x ex etx +1 e* +1 4e4x ex etx +1…

A: Please see the explanation below

Q: 2x + 3 f(x) = In %3D 7r – 7 f'(x) =

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Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A: We can solve as follows Do not confuse in round bracket and close bracket. They are same in this…

Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

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Q: 옷(x) = 름(x-a) (-x) 16. e E[x] = ?? u(x-a)

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Q: let N= 1007276145 and f(x) = e^(x−1)(b − x). 1. Find f'(x), f^2(x), and f^3(x). 2. Find b such…

A: Given: fx=ex-1b-x Using product rule of differentiation (fg'x=f'xgx+fxg'x ) , we get…

Q: Find f'(x) if f(x) = ln( -(2²+12x+12) (x+6)(x²+2x) -(x+6) (x²+12x+12) (x²+2x)³ x²+2x x+6 -x(x+2)…

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Q: Consider h(x)= {3x^2 +1, if x3. What is h'(3)?

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Q: Cosh sec (3* Find (y')(3**) -X+1 y = log, 3

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Q: If m(x) = E[I(x)] is a composite function, then and I'(x) exist. O m'(x) = E[I(x)]I'(x) ○ m' (x) =…

A: Stepwise explanation is given below Explanation:

Q: 3x'e* (x* +1)* 3e a) -+C 2(x² +1) 3e* b) 2(x² +1) +C x? +3 x +1 3 c) +C .2

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Q: log,z-2 log, "-x - 1 Solve : k - 1**-

A: This is a problem of the application of mathematics. The basic formula of logarithms and surds and…

Q: find f'(x) for f(x) = 2xtan-1 x - ln(1+x2)

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Q: If f(x) = xe"+æ") , then f'(x) = %3D (A) (e² + x³) x(e*+a°-1) (B) (e* + 5x4) In(x) xe"+x*) (C) (e* +…

A: See the details solution in below

Q: Suppose that Find f'(2). f'(2) = f(x) = = e³x x² + 4

A: Given f(x)=e3xx2+4   We are required to findf'(2)         The following formulas of derivatives has…

Q: Let 4 f(x) = (x³ + 2x + 5)* f'(x) = f'(4) =

A: Given: fx=x3+2x+54 Now to find the derivative of the given function, By using the chain rule for the…

Q: Let g(s)=(e^s)/s+1. Find g''(s).

A: At the outset, I want to spell out that the way you have written g(s), it can have one of the two…