Find the inverse function of e-x+3-2=f(x) and check your solution by finding f(f-1(x))

Q: Find the second derivative of the function.

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Q: f(x)=(6x¹-2x+1)

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Q: Find the second derivative of the function. 10. f(x) = 4x3/2 11. g(x) = x-1 12. h(x) = sec x

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Q: Find the inverse function of f. f(x) = log2(x - 1)

A: We have to find the inverse of function f: fx=log2x-1 To find inverse of any function we need to…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: By the fundamental theorem of calculus if we have F(x)=∫f(x)dx then F'(x)=f(x). In some cases an…

Q: Find a formula for the inverse of f(x) = 1+e*-1.

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Q: Find the derivative of f(x) = e* (3x' - 4) %3D

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Q: Find the first and the second derivatives of the function. f(x) = (8x + 8)³ f'(x) = f"(x) =| %3D

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Q: Find the second derivative of h(x) = x2 + 3x3. Simplify your answer, %3D

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Q: Find the second derivative of the function. f (x) = 5(2 – 7x)*

A: Find the second derivative of the function

Q: By using logarithmic differentiation, find f'(1) for…

A: apply log both side

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM y= e3x-e-3x/e3x+e-3x

A: Second derivative of a function.

Q: solve the derivative f(x) = e^3x / 1-x^3

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Q: Find the first, second, and third derivatives of f(x) = x^4 − 2x^3 + 2x^2 − x + 8.

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Q: Graph the function f(x) = u₂(x) ln x + u5(x) (ln(10 − x) - ln x)

A: We have to draw the graph of given function.

Q: x=1), 3. Y = In (x-1), (х-2)2

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Q: f(x) = log, x and g(x) = b' are inverse functions. Therefore, log, b = and

A: Given, fx=logbxgx=bx

Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

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Q: A person’s life expectancy can be modeled by the function g(x) = 10.761 ln(x + 1) + 27.98, where…

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Q: . Y= In (- (x-2)2

A: To solve the second derivative of the function

Q: Find the third derivative of the function f(x) = (1) / (2x-1)

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Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 3. y = ln (x3(x-1)/(x-2)2)

A: using the properties of log lnmn=lnm-lnnlnmn=lnn+lnmlnmn=nlnm As per our guidelines we are supposed…

Q: Find the second derivative for the function f (x) = 4e . 1 - 2x3

A: Given: fx=4ex-12x3 for finding second derivative of given, we find first derivative then find…

Q: Find the domain of function ƒ(x) = ln(x2 - 9)

A: The given function is fx=lnx2-9. It is known that logarithmic functions are defined only for…

Q: Graph the function f(x) = u₂(x) ln x + u₁(x) (ln(10 − x) - ln x)

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Q: Find the second derivative of the function. g(x) = 9/x + e6× In(x) g"(x) = %3D

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Q: Find the derivative of the composite natural exponential functions 1. f(x) = In x² x-2 2. g(x) =…

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Q: y = In (*+1) °(x+1), (x+2)3

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Q: e2x -e-2x e2x+e-2x

A: Solving the problem by finding the second derivative.

Q: Find the second derivative of h(x)=x2+3x-3 Simplify your answer, if possible.

A: Our objective is to find the second derivative of h(x)=x2+3x-3.

Q: Find the second derivative of the function f(x) = 1/(11x − 6)

A: Consider the function  f(x)=111x−6

Q: Find the second derivative of the function. In(x) f(x) = + 6x? -4x° – 18xln(x) + 3-6 ln(x) + 12…

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Q: Find the derivative of g(x) = 4x 1+4* •

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Q: Find the second derivative of the function. f(x) = (3x° + 6)*

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Q: Find the derivative: g(x) = 6x² e- X O g'(x) = 6xe (2-x) Og'(x) = -12xe** O g'(x) = 6xe (2-x) O…

A: We have to find derivative of given function.

Q: Find the derivative of the function g(x)=(3x^2+2x+4)e^x

A: Given that: g(x)=(3x2+2x+4)ex

Q: How do I find a inverse if the problem is in a fraction form? f(x)=log(x/25) where y=f(x)?

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Q: What is the inverse function of ln x, and what are its domain and range?

A: Given function is y=lnx. Using properties of logarithm given function can be written as: y=lnx⇒x=ey…

Q: Find the first and second derivatives of the function. g(x) = -4x3 + 11x2 + 6x - 51 g'(x) g"(x)

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Q: #12) Find the derivative of the function f(x) = 35x2-1

A: The solution of the problem is given in the next step.

Q: f(x) = 3x4 − 3x3 f '''(x) =

A: To find third derivative, we starts from first derivative, second derivative and finally we reach…

Q: Find the second derivative of the function. h(x) = 6x−2 + 7x2

A: Given function is hx=6x-2+7x2   Differentiate the function with respect to x.…

Q: 1 Find the derivative of each function: b) f(x)=(x'+3x² +7)° 2x+1 b) f(x)=- (x+2x)°

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Q: Find the first and second derivatives of the given function. f(x) = 5x3 − 6x2 + 6

A: The given function is f(x) = 5x3 − 6x2 + 6. The derivative of xn is given by: ddxxn=nxn-1 and…

Q: Find the second derivative of the function. f(x) = 8(2 − 2x)4 f"(x)=

A: Given,

Q: Find the derivative of the function g(x) = (4x2 + 2x – 3)e

A: g(x)=(4x2+2x-3)ex

Q: (a) Express the new function g(x) log,(-x) in terms of the original function f (x) = log,(x). g(x) =

A: We know log2(mn) = log2(m) + log2(n) So we can break g(x) in the similar way,

Q: Find the second derivative of f(x) = 3e³* – 8e** -6.x 10)

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Q: Find the second derivative of the function f(x) = 5(2 − 7x)4

A: Find the first derivative as shown below: f'x=ddx52-7x4        =42-7x3ddx2-7x        =5· 42-7x3-7…