True Or false, and justify answer: Given h(x)=x²-1 + 2TT -f(x), where a is a 2πn (x^-I-f'(x) x-n Constant. Then h'(x) = (a-1)x² a-1 +

Q: A function (f) is given by the formula f(x) = A*e^kx for constants (A) and (k). We also know that…

A: Function is of the form f(x)=Aekx and f(3)=12 and f(4)=7.

Q: Consider the function f(x)= (3x-e^x)/2   a) Rewrite f(x) so that you can just use the power rule and…

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Q: Let ƒ(x) = ln[x³(x + 4)¹(x² + 4)5] f'(x) = You need not put it over a common denominator.

A:

Q: Let f"(x) = 6x + 3x?. (a) Find the most general formula for f'(x). If an arbitrary constant must be…

A: Let's Solve,

Q: Let h(x) = f(x) = g(x). If f(x) = 9x² and g(x) = 8x, what is h'(-5)? - Do not include "h' (-5) =" in…

A: SOLUTION-

Q: nd and simplify 2² x² (f(x) g(x)). O d² O −(ƒ (x) g(x)) = ƒ” (x) g(x)+ f (x) g″ (x) Hint 2² -(f(x)…

A: Given query is to find the double derivative.

Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

A:

Q: If f(x) = log,(cot(x) + a?) , then f'(x) = %3D (A) 1 (cot(x)+2?) (B) csc (x)+2x (cot(x)+r) 1 (C)…

A: By using differentiation formula and change of basis formula, we calculate the derivative of given…

Q: If f(x) + x2[f(x)]5 = 34 and f(1) = 2, find f '(1). %3D f '(1) = Need Help? Watch It Talk to a Tutor…

A: Given: f(1)=2

Q: Find the derivative of 83-4 A. 3 ln 8 B. 83x-4 C. D. OA OB OD OC 83-4 ln 8 83x-43 In 8

A: We are authorized to solve only one question, please repost remaining questions Derivative of…

Q: z=sin(4TT/3) | * Your answer n=2x^3-log(x)^5 Your answer d=|√(e^(x)^3 )|* Your answer

A:

Q: read the following headline about COVID-19 vaccinations: "The vaccination slow down is slowing…

A: Headline about COVID-19 vaccinations is given as- "The vaccination slow down is slowing down.'' Now…

Q: -3 Now, g'(x) = 8 Define f(g(x)) = such that f(x) = -12 -12 Rewrite the given integral in terms of…

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Q: or formula (**). (Answer: (a) Let f(x) = x² – 3x + 2. Find f'(4) using either formula (*) 5)

A:

Q: sin³ (x)(2x+5)6 Find y' if y = Text=s) log,(2x)' -5

A: We have to find derivative of the given function

Q: What is f’(2) for the function attached below?

A: We have to calculate the derivative of the given function at x=2 f'(2)…

Q: we have to two h(x) = n'(x) = of the function h(x) = h₁(x) = h(x) 1(x) x² √5-3x 11 11 find. = the…

A: The derivative of a function of a real variable measures the sensitivity to change of the function…

Q: Consider h(x)= {3x^2 +1, if x3. What is h'(3)?

A:

Q: If g(x) = g'(x) is = In(6x° – x), then the derivative of -

A: Differentiation with respect to x,

Q: Cosh sec (3* Find (y')(3**) -X+1 y = log, 3

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Q: - 3. Use product rule to find the derivative of the following fur (a) f(x) = 3e5. ln(2x² − 3x +π).…

A: according to bartleby guide line we supposed to do only first part of multiple questions. (a)  given…

Q: Let f(x) f'(1) = = 4x²-3x+6 4x²+2x+8 Evaluate f'(x) at x = 1.

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Q: Where does the original function f(x) increases and decreased

A: f'(x) = +ve→f(x) will be increasing in this range.f'(x) = -ve→f(x) will be decreasing in this…

Q: 3 K(X) = X ³²³ In (x)

A:

Q: The first derivative for the function f(x) fi(x) 7 - 5ex 13 X True False = -5e - 7 ln x - 13x

A:

Q: 3-22 – 47 – 3 dr 2(r² +s + 1)

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Q: If f(x) = ln(4x + ln(x)) find f ′(1)

A: