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: 4. It f(x,)= (x?+Zy^)+Z and ū= a.) Find the derivative of t in the direction Of ū at 13,2) -

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Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

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Q: Find an equation of the tangent line to the graph of the function f(x) = tan2(x) at the point

A: topic - equation of tangent line to curve

Q: The derivative of y= xh* is O 1) (In x)(xh*-) O 2) 2 an x)(xh*) O 3) (In x)* O 4) xhx

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Q: A) 2xe-x(x + 2) 30) u(1) = 2, u '(1) = -7, v(1) = 7, v '(1) = -3. d at x = 1 dx u B) 2xe-X(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: Suppose the distance (in feet) rest is given by the function f(t) = 3t ^ 2 (0 <= 1 <= 30) . a).…

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Q: At how many points on the interval [−2π, 2π] is the line tangent to f(x) = x + sinx parallel to the…

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Q: Q2: a) define left hand derivative and right hand derivative. explain with examples. b)Discuss…

A: a) To define left hand derivative and right hand derivative.  b) To discuss continuity and…

Q: 6x?e- is The derivative of y a) None of these b) 6xe (2 – x) - c) 6xe (1 + x) d) 12xe (1 – x) - e)…

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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: What is the second derivative of y = 6x² 3x³ + x² - 5 ? - Oy"= 72x² 18x + 2 Cinema) Oy" 24x³9x² + 2x…

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Q: p5 _3ar4 +23r2 h (r) 4r2

A: Given that h(r)=r5-3αr4+2βr24r2 We need to find out derivative of h(r) respective to r.