differentiate g(x) = ex(x3+3x2-4) using the product rule and simplify. must show all steps.

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: -4x By use of the product rule, differentiate the function f (x) = x³e¬4×.

A: Rule:

Q: How can say that f(x)= x3 + 2x+1 is a polynomial function?

A: We know the definition of polynomial, Any expression should be polynomial if there is no square root…

Q: 1. f(x) = x3- 3x2 -9x-5

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

Q: Find f(-3) for f(x) = x² – 3x + 3

A: Given f(x)=x2-3x+3 To find f(-3) we put x=-3 in the above function.

Q: f(x): ×+18 and glx) = 4x-34 2. f(x) - 5x - || and glx) - 7 -3x

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Q: find domain V2 + x 65. g(x) 66. g(x) 3 - x 2r2 + x - 1 67. g(x) = V – 6x 68. g(x) = Vx² – 2x – 8

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Q: Differentiate 3x² /(x – 1)* with respect to x.

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Q: 1. f(x) = x* – 27x² – 14x + 120 -

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Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

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Q: Differentiate f(x) = (2x³ + 3x² )(x² + 5x³ +5) using product rule.

A: This question is based on product rule of differentiation.

Q: x + 3 f(x) : x2 - 3x - 18 :--Select-- -Select---

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Q: Find the extreme values of f(x) = 5 - 2r2, IS1 lx+ 2, x> 1.

A: Given function is defined in two intervals  So firstly we will discuss  for  x≤1 f(x)=5-2x2 we have…

Q: Differentiate 3x-1 2x + 3 with respect to 'x'.

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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: Differentiate f(x) = (8x³ + 4x )(2x² +5) using product rule.

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Q: Find a, b to Continue The function at x=35 * >3 3 X = 3 ax+b flx) = 2a-b+1 bx-a+3 X3

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Q: domain of f(x)=V9– x² is 1- (9,-9) 2- (-3,3) [-3,3] [9,-9] 2- 4-

A: Explanation of the answer is as follows

Q: Differentiate the function f(x) = In(6x7 – 4x) + v2 – e3x. - -

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Q: Find the slope of f(x) = -3x2 – 6x at x = 1

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

A: follow next step

Q: Find the function that has an output of 16 when x=2, and has zeros 1 and −2i.

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Q: Differentiate   f(x) = (4x3 + 1)2   using the product rule.

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Q: Find (fo g)(-2) when f(x) = - 4x -4 and g(x) = 9x +3x- 2.

A: Here, the given functions are: f(x)=-4x-4,g(x)=9x2+3x-2

Q: Find all the inflection points of f(x) = x4 – 2x3 – 12 – 5x2 - - -

A: The given function f(x)=x4-2x3-12-5x2

Q: find inverse of funchion. f(x) : 3x2+ 4x-3

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

Q: 5x°+7x Differentiate f(x) - using quotient rule. %3D 2x2-4x+5

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Q: 4. f(x) = 1-x 2x²-5x-3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: can you find f(3) ?

A: Given graph of a function f(x).

Q: The equation that does not represent a polynomial function is Oy = - = -x + Oy = x 10 - x + √22 + x…

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Q: 4x - 7x Differentiate with respect to 'x' 6x + 5

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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: Simplify the difference quotient ƒ1x + h2- ƒ1x2 / h for the follwing function. ƒ1x2= x2

A: Given function: f(x)=x2

Q: 17. f(x) = x² + 8x-10 %3D

A: The given function is of the form , fx = x2+8x-10 this function is of the form, y = ax2 + bx + c…

Q: Use quotient Rule: 2 6. y = X-3 5. У x2 –5x + 6

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Q: 1. Use synthetic substitution to find f (-2) if ƒ (x) = 2x* – 5x³ – x + 13.

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find sum of two polynomial f(x) = x^3-7x+6 and g(x) = 5x^3-8x+1

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Q: f(x) = 7x3 - Vx- +7 x3 6. f(x) = 4x3-7x-2 %3D x2

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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: Evaluate f(x) = 4x2-9x at f(- 3) %3D

A: Solution: The objective is to evaluate f(-3)

Q: Explain why f(x) satisfies the Intermediate Value Theorem. f(x)=ex - x3 - 8

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Q: Let f(x)=x²-4x²+3x and g(x)=4x+3 then find the product. Discuss the steps

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Q: я f (x) = (x2 + 3x)³ . (4x3 - 5x) 7 - -

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Q: Differentiate from the first principle f(x) = x² +6x² + 3

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Q: Find the average of the function f(x) = 9x² - 8x over [0, 8].

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Q: Evaluate f(-3) for (x)=x^3+3x+17

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Q: Let f (x) = 2x and g (x) = 3x² + 1, find(go g) (x). Show your work using the Equation Editor Tool.

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Q: Differentiate f(x) = x² – 3x by first principles“

A: Given f(x)=x2-3x

Q: If f (x) = x² – 2x, find: %3D f(-4) = [ ? ]

A: f(x)=x2-2x

Q: Find the oblique asymptote. 7 - x3 f(x) = 2x2 7-x3 2x2 y =

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.