Let f () = x - 4. The critical number is x= (4,0) The left derivative at this critical number a f (critical number you obtain) = 4 Answer 1: (4,0) Answer 2.

Q: Question: Find the derivative. y = (2x – 5) (-a + 4) 1. Select one: O y' = 3(4 – z) 2 O y' = 3(4 –…

A: Topic = Derivative

Q: Find y as a real-valued function of tif y(5) 9, y'(5) = 9. = y = 49y" 140y + 100y = 0, -

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Q: (A) A = -2, B = -8 (D) A = 8, B = 2 f(x) = Let f: RR be the function defined by Ax³ + Bx+2 Br² - A…

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Q: (b) A poll commissioned by a politician estimates thatt days after he makes a statement denegrating…

A: Given: Percentage of constituency that supports a politician is: St=75t2-3t+25t2+3t+25 Derivative of…

Q: Assume that the first derivative of a function y = f(x) is given by (x² + 1) (x² – 4)² ' Thus, which…

A: According to question that :y'=-x2+1x2-42

Q: Q-1Find the derivatives of the functions 1- Y+In (xy) =1 2. Inxf 9.

A: Note:- Derivative of the product of two functions is ddx fx·gx  =f'x·gx+fx·g'x   Part (1):-  Given…

Q: Find the 3rd derivative of the function y (2z-8z2 +3) (z+3) O y"=120z2 192z + 42 120, 198z + 72 =…

A: We need to find the 3rd derivative of y=2x3-8x2+3x2+3 . So,      y'=2x3-8x2+3x2+3'…

Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

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Q: If ƒ is a differentiable function, find the derivative Y = ƒ(√x) fı x + √√ f(x). 1 ○ y = ƒl (√√x) +…

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Q: Use the figure below to calculate the derivative, g' (7) if g (x) = f¬1 (x). (2.1,7.4), f(x) (2 ,7 )…

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Q: y" y' = Note: You can earn partial credit on this problem. Find the inflection points of f(x) = 6x4…

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Q: Use the second derivative test to identify any critical point and determine what each critical point…

A: Critical point: The point where the function fx, y is defined and its gradient is a zero vector or…

Q: ことる ーx (x+2)(X-2) -6x (x -ax+4) y" CX+2) (x-1)3 need first derivative Eanalysis %3D (x-2)3 (x+2)°

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Q: given the following information about its derivative: f'(x) -2 f'(x) = 0 at x = -2 -10

A: We will use relation between derivative  and character of the graph to draw

Q: R(x)= 1 dt . 76 +4 Use FTC part II to find the derivative of the function

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Q: 1. Find the derivative of the following: a) 3x²+6x f(x)= 5x-1

A: according to bartleby guide line we do only first part of multiple questions…

Q: what is a and b please?

A: Use chain rule to find the h ' (x) and g ' (x).

Q: Let f (x) 6x + 3 Then the derivative of f is 2х— 1 Ax + B f'(x) where (2x – 1)C' %3D B = C = || ||…

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Q: f (1, 2) = 3 and the derivative of the function f at the point (1, 2) in the direction of i + j is…

A: The given problem is to find the approximated value of f(1.1,2.1) from the given information of…

Q: can explain for me what is Applications of Partial Derivative ?

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Q: Find y as a function of x if x²y" – 3xy' + 4y = x", y(1) = 3, y'(1) = –5. y =

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Q: Find f, (x.y) and f, (x.y) Then, find f, (-4.- 3) and f,(-1,- 2). (x.y) = 2x°y? f(-4,-3)= (Simplify…

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Q: What is the value of the first order derivative of the closed function given as…

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Q: Direction: Find the derivative of the function. g(z) = (3 – 2") (zª - z + 1) Select one: g'(x) =…

A: Given that: g(x)=(3-x2)(x3-x+1)

Q: 4. f(x) = 5. 6. (X M 2x + 1)³ (x²-2) 10 100 ln(x+3), f(x) = (x) = { 4x² - 1, sin(xy) = x² + y³ if x…

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Q: Find the value of A B 3 16 fy' if y 314 3 16 In x =e4. when x = e X

A: according to bartleby we do only first part of multiple questions y=xlnxd dx(lnx)=1xd…

Q: Find the derivative of the given function. f(x) = (2x² + 2)³(x² - 1)² f'(x) 80x⁹ +64x7 - 96x5 − 64x³…

A: To find the points at which the tangent line is horizontal, we have to find where the slope of the…