1) Suppose the second derivative of a contiovous function given by f"(x)=Cx-2 )3 (x-2)2 (sx-) A determine the interval16) where ff is condane dannn. B)Find thex-coordinates of alI1 points

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

Q: 1) y%= (ans.: max.(1,0.5); min.(-1,-0.5)) 1+ x in (2 3-50,8))

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Q: The derivative of a function F (X, Y) at a point P_0 = (1,2) in the direction towards P_1 = (2,3) is…

A: Given That : The derivative of a function F (X, Y) at a point P_0 = (1,2) in the direction towards…

Q: Find the points function' that have horizontal tangents when f(x) = x°-6x 6 On the graph of the

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Q: By looking at the first derivative, decide which of the curves in the figure below could NOT be the…

A: The given function fx=x3-9x2+24x+1 for x≥0. Using the derivative to decide the graph that is not a…

Q: Find the equation of the tangent line to the graph of a+ y = 3 at the point (1,4). 1) y - 4 = 2(x -…

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Q: Q3\ Find the derivative of the following function by using the definition f(x) = X-1

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Q: Suppose the number N of loons on a lake after x hours is modeled by N = f(x)3D V2x + 1. a) State the…

A: Number of loons, N on a lake after x hours is modeled by,

Q: Compute the derivatives of the fallowing functions. use any rule but explain what ar methed, did No…

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Q: a) f'(-3) where f(x) = 5-3x

A: Derivative using definition

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: Find 24 dA, dA, z²+1 Round your answer to four decimal places. R= [0,4] x [-1,1]

A: Here, we need to find the following. Now,…

Q: (6) Find the derivative where it exists (c) Where is flz) analytic ?

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Q: Calculate the derivative. 5t ƒ"(1),_ƒ(1) f(t) = 1+1 (Give an exact answer. Use symbolic notation and…

A: Given equation, ft=5tt+1 Using differentiation by quotient rule, ddxuv=vdudx-udvdxv2 and dxndx=nxn-1…

Q: 3. If f is the function given by f(x) = -x³ + x² + 3x-2, name the open interval where the graph of f…

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Q: The line normal to the graph of f at the point (1,2) passes through the point (-1,1).  Which of the…

A: Topic = Functions

Q: 3 x° In x x° with respect to X - Find the derivative of y a) 6x - a2 b) None of these c) p6 ln x x2…

A: Given query is to find the derivative of the expression.

Q: a) f(x)=x44 b) g(x)=(3-x+4x²)(2x²- c) h(x) = x² – 3x 2-x²

A: ddxxn=nxn-1 ddxfxgx=gxf'x-fxgxgx2 [As per the guidelines I am answering only first 3 parts of the…

Q: b) (1+x) dz

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Q: Let f (2) = – z). (7z+ 10) (i

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Q: Provide an appropriate response. 7) Find the derivative of the function f(x) = A) 16 B) 17 2x - 7 3x…

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