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: Find The derivative of The functiin' toy do not nud to Simpliy The answer' y= arcscc (In 69) +…

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Q: Find the derivative of the function using implicit differentiation. 1.) x²+y²= 16

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: co find the exact values for the derivative of f at the given numbers. You

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Q: xy2+5x2-3y2+45=0  (1,5)   Evaluate the derivative at the given function point.

A: We have to find derivative

Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: Find the derivatives of the functions in Exercis

A: Given function is: y=1x sin-5 x-x3 cos3 x We have to find dydx.

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: determine f given f' and a point which statify f. f'(X)= 4x3-3x2+2x (3,80)

A: To determine f given f' and a point which statify f.   f'(X)= 4x3-3x2+2x (3,80)

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: Find the second derivative (y") of the given function: 6. y 2-e -6e* +12e-e" (2-e*)" 6e* (2+e*)…

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Q: Find the derivatives of the functions in Exercis

A: we have to find the derivative of the given function. g(t)=1+sin3t3-2t-1

Q: 4 – x2 3 – Vx2 +5

A: We need to find the 1st, 2nd, and 3rd derivative of the above expression.   4-x23-x2+5'…

Q: Find the slope of the curve y = tan-!x at a1, b without calcu- 4 lating the derivative of tan-x.

A: Given y=tan-1x

Q: At the point (1, −1), the function (x, y) has a derivative of 5 in the direction toward (3, 1) and a…

A: Consider the given information.

Q: BONUS 2. Are there points of inflection on the function fx) = 10x+ 3. For the function f(x) - x - 4x…

A: The maxima and minima of a function, known collectively as extrema, are the largest and smallest…

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: Let x, y € R. Then x^2+y^2 = 16 defines y as a function of x. True False

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Q: find an equation of the tangent line to the curve cos(x)+10y^2=xy^9+31 at the point (0, √3) assume…

A: Here we have to find the tangent of the line to the given curve at the given point.