Find a function flx) such that f(x) -llex and %3D 3. f(0)-- 주

Q: Ax, y) = In(x +y)

A: In this question, we have to find the domain and range of f(x,y)=lnx+y As we know that the domain of…

Q: The derivative of . f(x) = Vx4 is %3D

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Q: Use the limit definition to calculate the derivative of the linear function. f (x) = 7x − 9

A: Plug the given function in the limit definition of the derivative

Q: Find the derivative if w=(2x-7)-1(x+5)

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Q: Jxzy³ = 5 %3D

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Q: Find the derivative of the function. f(x) = (2x³ – 8x?+ 7)1

A: topic - derivative of a function

Q: Use the Chain Rule to find the derivative of the function. y = (2x² - 9)3

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Q: Find the constant a such that the function is continuous on the entire real line. Ax) = {2x2, (ах -…

A: Given that , the functionfx=2x2,x≥1ax-7,x<1We have to find constant a such that the function is…

Q: Find the derivative of the function. f(x) = In(6x2 - 5x + 4) %3D

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Q: Find the general antiderivative of each function. (can check by taking the derivative) F(X)= 12x3…

A: Antiderivative: Given the derivative of a function, find the function itself. Find the…

Q: Use the chain rule to find the derivative of 3(10x^8−2x^3)^13 (you do not need to expand…

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Q: 17. f(x)=-- x*+8x

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Q: Find the second derivative of the function f(x) = 5x2(x + 47) %3D

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Q: Find f'(x) for f(x) = 3 arctan(4x² – 3) %3D

A: we use the formula f'(x) of arcton x=1/1+x^2.

Q: Use the Quotient Rule to find the derivative of the function. 5x - 8 23TOM YM x2 – 1 g(x) = g'(x) =…

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Q: Find (f-)'(a). f(x) = 4 + x2 + tan(Tx/2), -1 < x < 1, a = 4 %3D (F-1)'(a) =

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Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

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Q: What points is the function y=|5x-1|+7sin(7x) continuous?

A: we have given function y=5x-1+7sin(7x) we know that  sin(ax) is continuous everywhere hence sin(7x)…

Q: Find the derivative. f(x) = 4/6x +7 f'(x) = %3D

A: As we know thatddxxm=ddxxm2=m2xm2-1

Q: Write the first and second derivatives of the function. f(x) = 4.2 In x + 9.3 f'(x) f"(x) %3D

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Q: Find the derivative of the function. Provide the solution in factored form. f(x) = 2x(x³ – 2)6 %3D

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Q: Apply the second derivative test to find the relative extrema of the function fx) =x*-18x-3

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Q: Differentiate the function with respect to the independent variable. 4x f(x) = In 9+ 5x? f'(x) =O…

A: We have to differentiate the following function: fx=ln4x9+4x2 Simplifying the function using…

Q: Find the derivative of the function described. (Rx5) 4х-2 5. у 3 3x+4

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Q: iven the function y=2x³-4x²+5,

A: Given, the function               y=2x3-4x2+5

Q: Find the values of ôf / ôx at the point (4,-5) if f(x, y) = x +3xy + y-1

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Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

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Q: Find the higher-order derivative. F'(x) - 7x* - 8x? + 5x f"(x) =

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Q: calculate the derivative. f (x) = 4x5/3 − 3x−2 − 12

A: To find the derivative of: f(x)=4x53-3x-2-12 Solution: f(x)=4x53-3x-2-12 Differentiating both sides…

Q: Calculate the derivative. f (x) = 4x5/3 − 3x −2 − 12

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Q: Use the Chain Rule to find the derivative of the function. y (4x2 - 7)3 %3D

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

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Q: Find the derivative of the function. f(x) = (2x3 - 8x² + 3)4 %3D

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Q: The derivative of is f (x) = 3x* + 7x² + 5x + 2 %3D

A: Given, f(x) = 3x4 +7x2 +5x +2

Q: 5. * y = ( In æ)²

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Q: Find the derivative and simplify. f(x) = (x12 + 4x4 + 5)(2x3 - 1) f'(x) = %3D

A: Given : fx = x12 + 4x4 + 52x3 - 1

Q: 3. If f(x) = 2sinx + x³, find f'(x), f"(x), f'''(x).

A: Given - If fx = 2sinx + x3 To find - f'(x), f''(x), f'''(x)         Formula used - ddxfx = f'x…

Q: A once-popular dog’s chew toy is slowly declining in popularity. The quartic function…

A: Given that x is the number of years since 1993 So 2001 means x=2001-1993=8

Q: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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Q: Use the chain rule to find the derivative of f(x) = 2e5a* + 9x³ %3D f' (x) =

A: We have to find

Q: Find the function g such that fog = In (2x° +7) if f(x) = In x g(x) = %3D

A: Find the function g such that  f(g(x))= ln(2x3+7) and f(x) = ln(x) .

Q: Differentiate. f(x) = 5x^5 - 8cos(x) f'(x) = ?

A: Given f(x)=5x5-8cos(x)

Q: В. Find az if z = f(x, y) is implicitly defined as a function of x and y for the equation below…

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Q: R(x)= ex-1

A: Domain of a function is the all possible values of x such that f(x) exists finitely. for f(x)…

Q: 3lim %3D f(x+h)-f(x) to find f'(x) for f(x) = -4x2+2x+3. = (),f

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: Differentiate the function In x f(x) = In 2x+3 %3D x>0

A: The given function is: f(x)=ln xln 2x+3,x&gt;0

Q: Find the Derivative of the Function: 2x2 3 | f (x) 5x? 6

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Q: Which of the following functions passes through the point (0,12) and satisfies f'(x)=8 ?

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Q: Find the derivative of the function. F(x) = (7x6 + 8x³)4 %3D

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Q: Calculate the derivative. f (x) = 2x3 − 3x2 + 5

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