I= -5 8 I= 1 continuous at z =-5? For what value of c is the function f(x)= 2-25 otherwise (z+5)(x-7)

Q: f(x) = 3x? – 7 + 6 Use the second derivative test to find any local maxima and minima. First, find…

A: Given function is f(x)=3x2-7x+6 First derivative is, f'(x)=6x-7 Second order derivative is, f"(x)=6

Q: 2. In the figure above, f', the derivative of function f, is shown. f is a twice differentiable…

A: We need to find properties of f from f' graph.

Q: x-2x At what x-values does the function f(x)= fail to be continuous? 12 x* +x-6

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Q: 3 -2+ 2x+10 Given h(x) = S " f(t) dt. Find the x-value where h has a relative maximum.

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Q: 3. In an interval, in which of the following conditions a continuous function is decreasing? A) the…

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Q: The derivative of a function is f'(x) x(x + 2)(x - 4). Find the value of x at each point %3D where…

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Q: 3z2 1. f(r) = . Find a). domain of f, b). f'(x) and the critical numbers, c). the absolute maximum…

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Q: Ах3+ Bх + 2 Find the values of A & B given that the derivative of f (x) =- , x2 A A = - 2, B= - 8 B…

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Q: 4x2 + 17x- 15 f(x) = * # (-5) + 14x + 45 C, T = (-5) What value of C would make f(x) continuous at x…

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Q: For which interval(s) is the function increasing and decreasing? y- |2x* + x - | +X- 3 increasing…

A: we use the property of modulus function. and parabola..

Q: 3. Consider the function f (x) = x³ + 3x2 – 45x + 5, then I. f is decreasing on (-5,3) and…

A: The given function is f(x)=x3+3x2-45x+5. The function is said to be increasing if f'(x)>0 and…

Q: 2x-3 x S2 (8x-11, x>2 DISCUSS THE DIFFERENTIABILITY OF THE GIVEN FUNCTION AT x = 2 3. GIVEN: /(x) =…

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Q: a2 - - 12 Consider the function f(x): %3D x+4 a. Find the first derivative. f'(x) = %3D b. List any…

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Q: 1B1(a): Find the value of k that makes function continuous at z = 4 4 + 8 f(x) = 7 k I< 4 I B1(b):…

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Q: S4x + 2, xs -1 f(x) = x² - 3, x > -1 (a) Find the critical numbers of f. (Enter your answers as a…

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Q: г? + 6х — 16 x + (-8) f(x) : -4х2 — 41х — 72 C, x = (-8) What value of C would make f(x) continuous…

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Q: r the graph of the derivative of f(x) shown below: Y = f'(x) -3 -2 -1 0 1 2 3. one of the following…

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Q: See attached

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Q: What is wrong with the equation? -5 15 dx = -4 64 -2 f(x) = x-5 is not continuous at x = -2, so FTC2…

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Q: x-1 A) Differentiable B) Continuous but not differentiable C) Neither continuous nor differentiable

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Q: {CLO-2} Find the linear approximation, L(x), to f(x) at x = xo . f(x)=√10x+9, x = 0 O 10 L(x)=x+3…

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Q: SBx2-3 (Bx +2 (b) Suppose that f(x) = if XS 2 %3D if Find the value of B so that f(x) is continuous…

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

Q: onsider a continuous function y- f(x) whose first derivative is y' 3z-2r. he function f has point of…

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Q: 4-3 -1 -2 The above is the graph of the derivative f '(x). How many critical points does the…

A: We know that critical point 'x' of any function f(x) is where the derivative of f(x) which is f'(x)…

Q: 5- h(x) g(x) 7- 6- 5 2 3 - 1 2 3 x-values 1 1 3 x-values If f(x) = g(x) · h(x), then f'(4) = | 2. 4.…

A: fx=gx·hx and graph of gx and hx are given as below

Q: 32. At what value/s of x is the function (2 — Зх f(x) = } -|x| (x² – 6 А. 1 В. 3 С. 1 and 3 D. The…

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Q: x² – 4 1 Determine the largest interval where g(x) = is continuous. I – 2

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Q: 3 7 h(x) 7 22 h’(x) 5 10 Selected values of the increasing function h and its derivative h’ are…

A: We will use the table to solve the question.

Q: lim h→0 function h f(x) = x² + x +1 O A) 0 O D) -10 B) HİC O E) 5 ) C) 10 [ax+3 1<x<2 continuous…

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Q: x- 2x 5. Consider the function ƒ(x)= (x+1)} * a) Determine the x and y-intercepts b) Determine the…

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Q: Ax3+ Bx+2 ,x2 A A = 2, B=8 в А3D 2, В- -8 A = -2, B=– 8 D none of the given choices E A = - 2, B=8

A: Derivative problem

Q: 3+ 2 2 3. The graph of g. 31. The graph of the differentiable function g is shown above with a line…

A: Derivative of function at any point gives the slope of line tangent to the function at that point.…

Q: e+-a -1/z -1 <x < 0 If function f(x) : 0 < x <1 ae2/=+be3/=| continuous at x = 0 then (1 ) α-1 (2) b…

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Q: 4. The function y= h(x) is differentiable and decreasing for all real numbers. On what intervals is…

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Q: Aх3+ Bх + 2 , x2

A: Here is the solution of the given function:

Q: ((x+1)ª-y² Consider the function g(x, y) = {(x+1)4+y²' -1, if (x, y) # (-1,0) if (x, y) = (-1,0)…

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Q: Consider a continuous function y=f(X) whose first derivative is y'=x(x-2)

A: y=f(x) be a continuous function, whose derivative is y'=x(x-2)

Q: (2 points) The function f has a continuous second derivative, and it satisfies f(9) = -5, f'(9) = 0…

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Q: B1(a): Find the value of k that makes function continuous at x = 4 S3x + 8 x > 4 f(x) = 4x – k x < 4…

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Q: f(x)=3x2-12x+15 and the closed interval [3,0]. What is the critical value of f? a. x=2  b. x=4…

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Q: Find the relative maximum and minimum values. ​f(x,y)= 12xy-x^3-6y^2

A: dear student as per guideline we are allowed to solve one question at a time so i am solving…

Q: Examine the function for relative extremum and saddle point  (a) f(?; ?) = x2 − y2 − x − y  (b)…

A: We are use second Derivative Test to find the relative extremum and saddle point.

Q: Ах° + Bх + 2 , x32 Find the values of A & B given that the derivative of ƒ (x) =• is everywhere…

A: Givenf(x)=Ax3+Bx+2  , x≤2Bx2-A  , x&gt;2And here derivative of f(x) is continuous everywhere.

Q: 2л2 + 5х — 63 a # (-7) f(x) = -5æ² – 29x + 42 C, æ = (-7) What value of C would make f(x) continuous…

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Q: 2 - x Determine all points at which f(x) = is differentiable. Justify your answer 2r2 - 8

A: The graph of f(x) is shown below :

Q: O f0 is increasing in the interval (-, -2) o fx) has a point of inflection at x=-2 O f'(x) has the…

A: find the equation of parabola and then find f'(x) and increasing and decreasing domain

Q: x+3 At what points is the function continuous y = 10 -3x- לx

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Q: (x+ 1) (x- 1) Find the derivative of the function k(x) = In A. k'(x) =-1 -1 B. k'(x) = (x²+1) %3D -1…

A: Given: kx=lnx+1x-1

Q: 1 Find the interval(s) where f(x)= V2-a is decreasing. O x>2 O x<2 O all real numbers no real…

A: To find the decreasing intervals