Find the inverse function of f(x) = 3 + . f(z) =

Q: 8. Find the inverse function of 4 f (x) = 3x 1, x <0

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Q: need help solving this please

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Q: Find the second derivative of the function.      f(x) = (x2 + 3x)/(x − 4)

A: Given f (x)  = x2+3xx-4we have to find second derivativerule used :-Outient rule :- if there is a…

Q: Find a formula for the inverse of the function. y = In(x + 3)

A: y=lnx+3

Q: Find the derivative of the function G(x) 1 + 2x3 – x2 + 5.3x + /10.

A: GIVEN:   G(x) = 12x4 + 2x3 - x2 + 5.3x + 10

Q: Find the inverse function of f(x) =1+ V8+ x

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Q: Find the second derivative of the function.

A: From the given data:

Q: Show that f(x) = |5x| has no inverse function.

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

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Q: Find the first and second derivatives of the function  f(x)  = x4  - 3 x3  +16 x

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Q: Given f(x) = x² + 1, x 2 0, Find the derivative of the inverse at the point (5, 2) (do not find f-1)

A: Let's find.

Q: if f(X)= SINX+2X+1 and g is the inverse function of f, what is the value of g'(1) ?

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Q: x4 -5 7) f(x) = In %3D

A: fx=lnx4-5x first, simplify the function  f(x)=lnx4x-5x f(x)=lnx3-5x now take derivative

Q: Find the second derivative of the function f(x) = 5x2(x + 47) %3D

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Q: Find the inverse function of f.

A: f(x)=2+3+x

Q: Find the inverse function of f(x) F(x)= 3x+1

A: Inverse of a function can be found by replacing x with y and vice versa in the definition of the…

Q: calculate the value of k, when the inverse function of y = 3 ^ x is y = k × ln (x).

A: To finding the inverse we use the logarithmic properties

Q: Find the derivative of f(x) = e3 (5x² + x)

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Q: What is the inverse of the function f(x) = e* – 2 ?

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Q: Give the derivative formula for the function g(x) 2.1X 2 g '(x)

A: The given function is

Q: What is the inverse function of f(x)=x2+x, x≥-1/2

A: Given, fx=x2+x

Q: Find the first and second derivatives of the function. f(x) = √3x-7     f '(x)=   f ''(x)=

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Q: Find a formula for the inverse function of h(x)=2e3x . Verify that h-1(h(0))=0

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Q: 2. Find a function equation for the inverse function, z-1.

A: The solution are next step

Q: Find the derivative of the function. g(x) = (2 + (x2 + 1)4)3

A: Consider the provided function, gx=2+x2+143 Find the derivative of the function. Applying the chain…

Q: A) Find the first and second derivatives of the function g(x) = Vx² + 2x .

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Without finding the inverse, evaluate the derivative of the inverse at the given point.  f(x) =…

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Q: Let f(x) = }x² – x³. Find the value(s) of x if the second derivative f" (x) equals zero.

A: Use the formula, ddx(xn)=nxn-1 to calculate the derivative. Differentiate f(x) with respect to x to…

Q: Find the inverse of the function on the given domain f(x) = 9 – x2 , [o, ∞)

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Q: 1 What is the inverse of the function y ? 2х + 3

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Q: Let f(x) = 4 −(1/3)x3 . Determine the derivative (f -1)'(x) of the inverse function to f.

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Q: Let f(x) = 4 – x³. Determine the derivative (f-1)'(x) of the inverse function to f.

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Q: Find the derivative of the inverse function  f(x) = x/x+2

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Q: Find the inverse of the function on the given domain f(x) = (x + 2)2, [-2, ∞)

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Q: Calculate the derivative of the function. g(x) = (x² – 3x – 1)-7 %3D g'(x) =

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Q: Find the third derivative of the function. f(x) = (x3 – 8)4 f"'(x) =

A: To find third derivative of function fx=x3-84

Q: Find the derivative of the function. f(x) = ∣x2 − 9I

A: We know that ddxu=uu×dudx

Q: Find the third derivative f"" for the function f(x) = I-5

A: The first derivative of is given as: Also the derivative of a function in form of is: The given…

Q: Find the first and second derivatives of the function.  f(x) = (x2 + 4)5

A: Rule used:The derivative rules are shown below.

Q: Find the first and second derivatives of the given function. f(x) = 8x3 – 5x? + 7 f'(x) = f"(x) %3D

A:

Q: 1. Find the inverse function of ƒ(x) = Vx +1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the inverse function of f. f(x) = 3 – 5x |

A: Our objective is to find the inverse of f.

Q: Let fAx) =x' 4x + 20. a) Explain using Calculus why f has an inverse function (invertible). b) If…

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Q: Let f(x)=4-1/3x^3. Determine the derivative (f^-1)'(x) of the inverse function to f.

A: Derivative of inverse function is

Q: Find the inverse function of f(z)-1+.

A:

Q: The inverse function of y=(1/x) is

A: The given function is fx=1x. Let f(x)=y. Then y=1x. Interchange x and y as follows. x=1y

Q: Find the inverse function of f. f(x): = -64, X>0

A: To find the inverse of a function f(x) : Rewrite f(x) as y Switch x and y  Solve for y

Q: find the first and second derivatives of the function f(x) = (x2 + 4)5

A: The given function is f(x)=x2+45.

Q: Use the inverse function theorem to find the derivative x + 2 dg-1(x) g(x) = Hint : find d.x

A: We have to find derivative by using inverse function theorem d/fx(g-1(x))=1/(g'g-1(x))

Q: Find the derivative of the inverse of the given function at the specified point on the graph of the…

A: To sketch the graph of the function f(x) and determine the value of the derivative of inverse of the…