Consider the function f(x) = 2x + 9x² – 108x +1 with - 6 < x < 4 -

Q: Use the Quotient Rule to find f'(x). 2x-1 (a) f(x) = 2x+1

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (a): Find the critical points of the function f(x) = 8x² – 16x.

A:

Q: Find the domain of f(x) = Vx + 3 + Vx - 1.

A: Given that the function f(x) = x+3 +x-1 To find the domain of f(x).

Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: Is f(x)=x^2-2x even or odd ?

A:

Q: find  f^-1(x)= for f(x)=13+10x f^-1(x)=

A: We have to find inverse of given function.

Q: Obtain the TSE of f(x) = 2x² in powers of (x-1)

A: To Find: The Taylor Series expansion of function 2x-2 with center x=1

Q: Find domain of function  f(x) =1/√(x^2-6x+8)

A: The given function is: f(x)=1x2−6x+8 Find the domain of the given function.

Q: find domain of f(x)=-5x+2

A: Recall the following fact.

Q: Find f'(x). f(x) = 2 In (2+7x2)

A: Taking derivative with respect to x,   Take the constant 2 out of the brackets,

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: Find the critical points of the functionf (x) = 4x³ – 3x and the inflection point of the function…

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Q: The extreme points of the function f(x) = x3 – 6 x² + 9x + 1 are:

A: We have to find the extreme points of the function f(x) = x3 - 6x2 + 9x + 1 .

Q: Find f(x) where f '(x) = 3x2 - 1 and  f(-2) = 3.

A: It is given that,  f '(x) = 3x2 - 1 and  f(-2) = 3.

Q: What is the maximum value  of the function f(x)= -x2 + 2x +1

A: f(x)= -x2 + 2x +1

Q: Find the domain of f(x). 2x + 2 f (x) = x2 + 5x – 6 -

A: follow next step

Q: Find the absolute maxima and minima for f(x) = x – 48x + 15 on [0, 5] -

A: Maxima minima problem....

Q: Find the absolute maximum and absolute minimum of the function f (x) = x³ – 3x²+8 on the interval…

A:

Q: Apply the three-step method to compute f'(x) where f(x) = 9x² + 2. %3D

A: Given  f (x) = 9x2 + 2 .

Q: Find the domain of f(x) = 3

A: To find the domain

Q: 2) Find all points of inflection in the function f (x) = x 3 + 3x2 – 24x + 12.

A:

Q: Differentiate the function using four-step rule

A: 1) As an step 1 in four step rule we should add h to f(x)  f(x+h)=3(x+h)+82(x+h)…

Q: Find f'(x) for the function. 6x3 - 2x + 1 f(x) x2 "(x)

A: Given query is to find the derivative of the function.

Q: Find the absolute maximum and minimum values of f(x) = 2x³- 3x2 – 12x for 0 <x < 3.

A: First we find the critical points of f(x) and then local extremum points of f(x). Then comparing the…

Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

A:

Q: Find the domain of the function. f(x) = 5x+2          _______            3x-4   ( supposed to…

A: The domain of the function is set of all possible input values. Consider the given rational…

Q: Find the maximum value of the function f(x)=x3+3x2-9x attains in the interval [-4, 3].

A: Differentiate the given equation as, f'(x)=x3+3x2-9x=3x2+6x-9=3x2+2x-3=3x2+3x-x-3=3xx+3-1x+3=3x+3x-1…

Q: Find the domain of the function  f(x)= In(x^2+5x+6)

A:

Q: Find f'(x) of f(x) =3 + 2x²

A: Consider the given function fx=3+2x2   Differentiate the given function with respect to x.…

Q: Let f(x) = 2x² + 8x – 9. According to the definition, -

A: Derivative: - Differentiation is the pace at which one quantity changes in relation to another. The…

Q: Find f- (x) for f (x) = 5 + 8x.

A: Given, fx=5+8x

Q: The domain of f(x) = v2x + 1 is

A: According to the question, we have to find the domain of the above algebraic function fx=2x+1. The…

Q: Find f(-3) if f(x)=x² + 2x - 1

A: Find the f(-3)

Q: the function f(x)=x^3-3x^2+5x has neither maximum nor minimum?

A: Consider the given function. fx=x3-3x2+5x Find the derivative of the function. f'x=3x2-6x+5x Put the…

Q: 6. If f(x) = 10x – 5, what is f-1(ƒ (3))?

A:

Q: What is the upper and lower limit for the function : f(x) = −12x2 − 37x − 21

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find the local maximum value of f(x)=x^3-27x+8

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Q: Find f'(-1) if x(f(x))^3+5x^3f(x)=-18 and f(-1)=2

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Q: What is the greatest value of f(x) = 2x3 - 9x2 + 12x   in the interval 0 ≤ x ≤ 3?

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Q: Find the intervals of monotonicity of the function f(x)=x3−12x+5.

A:

Q: Find f such that f′(x)=7x2+9x−2 and f(0)=7.

A: We integrate the given function and use the given condition f(0)= 7 .

Q: Find the absolute maximum and minimum values of f(x) = 10x(2-lnx)

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Q: Show that the function f (x) = x* + 3x + 1 has exactly one solution in the interval [-2, -1].

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Q: Find (f-1)'(a). f(x) = 5x3 + 4x2 + 6x + 1, a = 1

A: Topic:- application of derivatives

Q: Find f'(-2) for f(x) x² +1

A:

Q: What are the critical points for the function f(x) = 2x3 2a – 9x? – 108x + 5 x = 3 and x = -6 x = 2…

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Q: 20. Is the function f (x) = 2x3 - 4x even, odd or neither?,

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Q: f(x) = x²+6x+5 2-1

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

Q: Find the absolute extrema of f(x) = 2x³ – 21x² + 72x on the closed interval [0, 5].

A:

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.