Let f(x)=2x2-8 and let g(x)=3x+1 f[g(3)]

Q: Let h(x) = f(x) – g(x). If f(x) = 5x² and g(x) = 2x³, what is h' (1)?

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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: Find the open intervals on which the function is increasing or decreasing            f(x) = x2 + 3x…

A: We find f'(x) using the power rule

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: What is the length L of the interval on which the function f(x)=x3−6x2−15x+8 is decreasing?

A: Given

Q: Find f(-2) for f(x)=3x2^x

A: f(x) = 3x2^x we can also write this as f(x)=3x(2x)

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 the quotient x+h)-f(x) for f(x) = 7x – 3x²

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Q: Find the inflection point of the curve f(x)= x³ – 12x²+7x+1.

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

Q: Find (f^-1)'(a).  f(x)=4x^3+3x^2+8x+9,    a=9 (f^-1)'(a)=

A: Topic:- function and derivatives

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

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Q: 1. f(x) = x 3x-1

A: Domain of a function is defined as the values of x for which the function is defined.

Q: Are f(x) = and g(x) = 2x + 3 the same function? Do f(x) = 2x² +3x and g(x) = 2x + 3 have the same…

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Q: # 3) Find f(x) if f'(x) = 9x2 – 12x – 5 and f(2) = 4 -

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Q: How does the function ƒ(x) = x2 - 1/x - 1 behave near x = 1?

A: The given function is f(x)=x2-1x-1 we have to check the behave near x = 1

Q: What are the local extreme values of the function f(x) = x - 3x² + 2?

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Q: 3. Find f (x). 2 f "(x) = 18x –- f(1) = f '(1) -

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Q: f(x) = 9(x2)

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Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: for the function f(x) to be continuous, the f(x) must be continuous at x=3Then,2x+9x-1 =-4x+c2x+9x…

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

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Q: The function f(x) =2x² – 3.x² – 12.x is increasing on: |

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Q: find the f(x+h) - f(x) / h for: f(x) = x² - 5x - 1

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Q: Find the intervals on which the function f(x) = x² - 6x + 10 is increasing and decreasing.

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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.

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Q: Find f' (x) for ƒ (x) = 8x° – 3e".

A: Given : fx = 8xe - 3ex

Q: Find the intervals on which the function f(x)=x3+1x3 is strictly decreasing.

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Q: Find the interval on whih f(x) =x2-3x+8 increasing or decreasing

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Q: What is f(x)* h(x) if f(x)=6x²-2X+2 and h(x)=, 1?

A: f(x) = 6x2-2x+2  h(x) = 1/2x

Q: 2. How does the function f(x) = -4x + 3x3 behave as x -00 and x 00?

A: The objective is to describe the behaviour of the given function in the ends .

Q: Find the interval on which f(x)=x2-4x+3 is increasing and the interval on which it is decreasing

A: Answer

Q: Find the intervals on which the function f(x)=x−4x2 is increasing and decreasing.

A: Given function:

Q: The critical points of the function f (x)=x' – 9x² +8 are

A: For critical numbers we put f'(x) = 0

Q: Consider the function f(x)=2x* – 4x² +4. Isƒincreasing or decreasing at the point x - 0.5?

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: Find the local extremum  f(x)=x3+3x2-9x+6

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Q: Let h(x)=f(x)−g(x). If f(x)=5x2 and g(x)=2x3, what is h′(1)?

A: Consider the given functions, fx=5x2 and gx=2x3 Since it is given that hx=fx-gx so substitute the…

Q: the domain for the real valued function f(x) = is 2x-4 2x+1

A: Given : fx = 2x+12x-4

Q: If fx) is a differentiable function such that f(-2)=-1 and g(x)-f(3x+1), then what is g'(-1)?

A: Use chin rule to differentiate g(x).

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

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Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.

A: Topic = Functions

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

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

A: Topic:- application of derivatives

Q: Determine where f(x) = x² – 2 is increasing and where it is decreasing.

A: Given: fx=x2-2 The graph of the given equation is,

Q: Find the extreme values of the function f(x) = (x² + 2x)³ on the interval [-2, 1].

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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].

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Q: Does f(x) = x3 - x - 5 have a real zero between 1 and 2?

A: Intermediate value theorem: Let f be a polynomial function. If f(a) and f(b) have opposite sign then…