What is the end behavior of f(x) = 1/x? (Fill in blanks) As x-- 00, f(x) - As x- +00, f(x)

Q: Solve for the derivative of the function using chain rule. 4. f(x)= (x3+4)5/ 3x4-2

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Q: What is the derivative of the function  x - 7x(x^1/2) ——————      x^1/2 Use quotient rule and…

A: The quotient rule of differentiation is as shown on the whiteboard.

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: 3. Use the first derivative test to locate all local extreme for f(x) = x - 9x2 + 24x

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Q: Apply the First Derivative Test to identify all relative extrema. f(x) = -7x³ + 21x +3

A: fx=-7x3+21x+3 Differentiating with respect to x, we get f'x=-73x2+211+0⇒f'x=-21x2+21 Now to find…

Q: Find all relative extrema of the function f(x) = x4 - 4x2 + 2 by using the Second Derivative.

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Q: Differentiate F(x)=x sec^-1(x³)

A: Given, F(x)=xsec-1(x3)

Q: Find the second derivative. f(x) = 6x10 − 17x5 − 12x3 + 5

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Q: Use derivative rules to compute f'(-1) given f (x) = -4x8-32x - 4.

A: f(x)=-4x8-32x-4Formula: xn'=n xn-1

Q: Find the second derivative. f(x) = 5x10 - 19x5 – 11x3 + 2 f"(x) =

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Q: Use the definition of the derivative f 19. f(x)= 6x² – x 20. -

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Use derivative rules to find f'(x). 4. f(x) = (2x² – 3)(3x – 1) -

A: f(x) = (2x2-3) (3x-1)derivative rulef(x).9(x)' = f'(x)9(x)+f(x)g'(x)or (uv)' = u'v+uv'

Q: ii.) Find the derivative of f(x) = x°(2x* + 5x³ – 3)5 when x = 2. %3D

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Q: Using the second derivative criterion, find the graphs of the functions a) F(x) = x*– 8x² +3

A: Given- (a)  Fx=x4-8x2+3 To Find- The graph of the above functions using second derivative.

Q: Write a derivative formula for the function fx)- 12.2(4.7 x2 1.5475x(4.7-2( 4.7*) f'(x) 12.2 = X

A: Given

Q: 17 Use the definition of derivative to evaluate the derivative of f(x) = 2x2 − 4

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Q: How do you find the derivative of f(x)= -2(3x^2-1)^3

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Q: What is the second derivative of the function:  f(x) = (9x^2)/ (x^2-49) Please show ALL steps

A: Given function is

Q: Find derivative of f(x)=2x-7

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Q: How do you find the derivative of f(x) = 5 - |x-5| ?

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Q: Use the second derivative test to find the extreme values of the function f(x) = 13 -3z2-24x

A: Given: f(x)=x3-3x2-24x To find the extreme value of the function.

Q: Find the second derivative of the function. f(x) = 8x + 50x-2 f "(x) = %3D

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Q: Find second derivative f(x) = 1/X2-9

A: Given that fx = 1x2-9To find :second dedivative of fx

Q: Use the second derivative test to find the extreme values of the function 49 f(x) = 25x +

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Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…

Q: What rule do you use to calculate the derivative of f(x) = exx2 and f(x)=(x2-3x+1)/(x+5) ?

A: Use the product rule and quotient rule of derivative:

Q: Use definition to find the derivative of the function f(x)= 2x-3x2 at x = 3 %3D

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Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: How do I find th end behavior of f(x)=-(x+1)^(2)+4

A: f(x) = -(x+1)2+4 =-x2-2x-1+4=-x2-2x+3

Q: Find the derivative. f (x) 7.) f(x)==x³+2x²–11 x–1 +2x²-11 x-1 6.

A: We have given

Q: The derivative of f(x) = 10 (x2 + 13z) is О 10х + 130 О 10х ?(2т + 13) O 10 O -10x 3(2x + 13) O -…

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Q: 2. Use the definition of the derivative to find f'(7) if f(x) = 4 + 3x – 2x.

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Q: 2) Find the derivative of the function f(x) = 3x² by definition

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Q: Find the higher-order derivative    1. f ''(x)=16x^(3)-38x^(2)

A: Derivative

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

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Q: Find Derivative f'(x): f(x)= 5e²x - 40e(-0.1x) + 11 + In(4x)

A: Given f(x) = 5e2x - 40e(-0.1x) + 11 + ln(4x)

Q: Find the derivative: 1. f(x) = √(-2x2+1)

A: Given fx=-2x2+1  Or you can write it as fx=1-2x2

Q: Use the 2nd derivative to find the inflection point for f(x) = x³ – 6x² – 4x + 3

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Q: Use the second derivative test to find the extreme values of the function f(x) = x³ – 3x? – 24x . -

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Q: Find the higher order derivative. f"(x) = 4x2 + 9x – 16 - f(5)(x) = %3D

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Q: 9. Suggest a function that would have a derivative of f'(x) = 24x² + 6x – 10. Explain how you…

A: The derivative of a function id given as f'(x)=24x2+6x-10......(1)