Find the domain of f(x)=ln(4x-20)+ln(x 2+9x+18)

Q: The derivative of f(x) = 3 (22 + 4x) is - O 3x + 12 O -3x-2(2x + 4) 3x-2(2x + 4) O 3 -3x-3 (2x + 4)

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Q: Find derivative of f(x) = x^5-7x^3+8

A: We have to find derivative of  f(x) = x5 - 7x3 + 8 We know that  If f(x) = xn then  f'(x) = nxn-1…

Q: The derivative in question, solve f´(2) if f(x) = x^3 – 6x^2 + 9x + 3 Determine the largest and…

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Q: Find the second derivative of the function.        f(x) = 4x5 − 2x3 + 5x2

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Q: If f(x) = 2x and g(x) = 3x4 - 1. Find the derivative of the product (f×g)(x). 30x 30x4-2 30x³ - 2…

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Q: 1. Find the derivative. (a) f(x) = (6x² – 8x + 4)4 2х -5 (b). у %3D 2x2 - 10

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Q: The derivative of f(x) 4 (x2 + 3x) is O -4x3 (2x + 3) -4x 2(2x + 3) 4 O 4a-2(2x + 3) 4.x + 12

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Q: Find the derivative of the function. g(x) = √(4 − 3x2 )

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Q: Find the derivative: n[(x³ + 2) (x² + 3)].

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Q: Find the third derivative of f(x)=12x0 –3x² +4x°+5x²+6

A: Given

Q: Find derivative of f(x) = x^3-5x^2+6x-7

A: The given function is f(x)=x3-5x2+6x-7. To find the derivative of the given function, apply the…

Q: For k(x)=(x−1)(−x2−2x)(2x−2), find the derivative of k(x) using the product rule. Do not include…

A: Obtain the derivative of the function k(x) as follows.

Q: Write cosh(ln(x)) as a rational function of x.

A: Cos h (lnx)We knowCos h (a) = ea+e-qzsoCos h (ln x ) = elnx+ e-lnx2                       = x+1x2…

Q: if f(x) = 3x^(ln(x)) find f'(3)

A: Differenciate the function f (x) = 3x^(ln(x)) with respect to x as follows.

Q: Find f′(x). f(x)=5x4 ln x

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Q: Find the third derivative of f(x) = 4x^3-6x^2+7x-1

A: We have to find the third derivative of  f(x) = 4x3 - 6x2 + 7x -1  First derivative of f(x) is…

Q: find the derivative of f(x)= 4x^2+2x-3

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Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: If f(x)=(4x)^(ln x) how would you find f'(3)?

A: Obtain the derivative of the function as follows.

Q: Find the derivative of f(x) = ✔ (6x¹ + x² − 1) 5.

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Q: Find the derivative f(x)=2x^5(√2x^5+5x^4)

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

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Q: Find f''(x) for: f(x)=ln⁡x/4x

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Q: Find the derivative for g(x) = :-7x - 2 + 3x

A: We need to determine the derivative of the function: g(x) = -7x2/3 -2+3x7/4 As the differentiation…

Q: Find the derivative of the function. g(x) = 8/ (5x2-6x)4

A: To find the derivative of the function

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 f (x) = (x8 – 5x) (x² f(x)= + 10x 10).

A: Topic = Derivative

Q: 1. find the derivative 2x² - 6x³ + 5x²-3x + 17 Enter your answer

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Q: What is the first derivative of p(æ) = In (4x3 + x² +1)?

A: Given function is p(x)=ln4x3+x2+1

Q: For k(x)=(−3x2+2x−3)(x−2)(−x+3), find the derivative of k(x) using the product rule.

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Q: Find the fifth derivative of x^2 (x^3+7x^2-2x+8)

A: Hi. Solution is given in the form of hand-written note. To find- The fifth derivative of the given…

Q: 3. Derivative of g(x) = 2x + xª − 7x² +3 b) 12x³+4x³ - 14x +3 c) 12x6 +4x² - 14x²_____d) 12x³+4x³ -…

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Q: For k(x)=(3x+2)(−x+2)(−3x2+x+1), find the derivative of k(x) using the product rule.

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Q: Find the derivative. (with solution) f(x)=2x²-3x+5

A: The derivative of a function is given by the expression limh→0f(x+h)-f(x)h. For some standard…

Q: Find derivative of f(x) = x^4-7x^2+8

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Q: Find derivative of f(x) = x^4+8x-2

A: We have to find the derivative of  f(x) = x4 + 8x - 2 We know that if  f(x) = xn then  f'(x) = nxn-1…

Q: The function f(x) = 2x³ – 27x² + 108x + 9 has derivative f'(x) = 6x² – 54x + 108. f(x) has one local…

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Q: Find the fourth derivative of  f(x) = x^4-6x^3+7x-1

A: Given: f(x)=x4−6x3+7x−1

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.