3) f(x) = 2(x + 2)3 – 2 10 21 10 -8 -6 -4 -2 2 4 -2 6 8 10 -4 -6 -8 -10 4.

Q: Find critical number of f(x) = 5x^2-8x+1

A: Given,          fx=5x2-8x+1

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].

A:

Q: If f(x) = 1 4x - 1 384 (4x-1) 24 (4x - 1)¹ 24 (4x - 1)4 384 (4x - 1)¹ -, then what is f"" (x)?

A:

Q: If f(x) 3 (5х — 3)1/3, find f-1(x) | 3 x3 f-(x) = 5 3 f-'(x) = 3 А. C. = --- 3 C. f-'(x) = 5 3 f-"…

A:

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2, 2].

A:

Q: The antiderivative of the function f(x) : .4+7.5x³ is. -7.5 + 0.5x² + c -2 + 1.9x* + c -2 +1.9x³ + c…

A: To find the integration

Q: Given f(z) = 1-홍(10 + 7z) + 응(10 + 7a)2 - (10+7 then f'(x) =, %3|

A: Find your answer below

Q: Let f(z) = (3z + 8) %3D 6. f'(z) = (3x 8)4 6. f'(3) = (3x 8)4

A: See the details solution in below

Q: Solve the equation below giving an explanation. Thanks.

A:

Q: 4 Suppose that f(x, y) = x4 + y xy

A:

Q: 1, Differentiate the function. (2) f(x)= 5x² – x+1 (3) f(x)= (2+3x'j - nx (4) f(x)= e (5) f(x)= (x³…

A:

Q: are

A: We will find the critical points.

Q: #! Find f'cx) if fex)= Čx²+SX+2)(X-)

A:

Q: The function f(x) = 2x^3 - 27x^2 + 108x - 4 has two critical numbers. The smaller one is x = ? And…

A: Hereupon plotting we can see that horizontal tangent can be drawn at points x=3 and x=6.  Note: The…

Q: 4) Show that and = are eventually fixed points for the function : 8 0sx< 2– 4x sx< 4х 1 f(x) = 1 4x…

A:

Q: Find critical number of f(x)=x^3-6x^2

A: Given: f(x)=x3-6x2

Q: Find all critical numbers of f (x) =8r³+39x²+ 18r– 4 (A -3, -

A: We have f(x) = 8x3+39x2+18x-4To identify the critical values, we differentiate and find values of x…

Q: 1. Find the critical points for f(x) = 3x5 – 20x3.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (8) If f(x) = x² – 3x, what is f(x +h) - f(x) =? h (x² + 2xh + h²)-3(x+h)-(x²-3x) = 2x – 3 + h (x² +…

A:

Q: 4) Show that and 4x 2 - 4x f(x) = 4x-2 4-4x are eventually fixed points for the function : 0<x<…

A: Given

Q: Given f(z) 3D 1-홀 (7+ 3x) + 을(7+ 3x)2- (7+3x)" then f'(z) =. -을 + 꼴 (7+ 3z) -(7+3x)2+ | .... -글 +…

A:

Q: Find f(x) - g(x) when f(x) = 2x^2 - 4x g(x) = x^2 + 6x   x^2 - 10x   3x^2   3x^2 + 2x   x^2 + 2x

A: In a polynomial expression, the like terms are the terms with the same variables and exponents.

Q: Graph the following functions.

A: The function: fx=-2x-1if x&lt;-11if -1≤x≤12x-1if x&gt;1

Q: The antiderivative of the function f(x) : .2 + 11x³ is, 4 - + 2.8x4 + c - -11 + 1.2x* + c -5 + 2.8x…

A: As we know that if we need to find the antiderivative of f(x);   So,   ∫fxdx=Fx+C   From the given…

Q: 3. For f(x) = 15x²-3 16x²+9x+8 As x → ∞, y → || As x →∞, y →

A:

Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.

Q: Find the critical points for f(x) = 3x5 - 20x3. %3D

A:

Q: Differentiate. f(x) = (3x - 5) (Vx +4) O A. f'(x) = 4.5x'/2 - 2.5x-1/2 + 12 1/2 - 1/2 O B. f'(x) =…

A:

Q: 4.x +1 1 with f'(x) = 1/ 56x2 - 156x + 115 14x – 19 - - 3. Let f(r) = and f"(x) 4 %3D 3 5 Vr2 – 3x +…

A: To find the points on which it is concave up or concave down

Q: |(-m,-풀) -꿀 | (-풀,0) (0. 풀) (5. ") f(x) f '(x) f "(x) Concavity

A:

Q: 7. Given f(x) = x² – 5x ,

A:

Q: 8 — х — x2 if x 4 -

A: f(4-) = 8 - 4 - 16 = -12 f(4+) = 2*4 - 20 = -12 f(4) = 8 - 20 = -12

Q: Find (f – 9)(x) if f(x) = V16z4 and 9(ax) = 3a² – 3x – 5. O (f – 9)(x) = x² + 3x + 5 O (f - 9)(m) =…

A: Given f(x)=16x4g(x)=3x2−3x−5

Q: + 2x if xs -1 if -1 1 f(-4), f(-}). (-1), f(0), f(25)

A:

Q: Find critical number of f(x) = x^2-7x+8

A: Given function f(x) = x2-7x+8 The critical number is the value of x which makes derivative of f(x)…

Q: -8x Since f'(x) then (x2 - 4)2' (x? – 4)>(D) - (-8x)[2cx? – 4)(Ox)] _ 8 x2 f"(x) (x2 (y2

A:

Q: -7- 56z2 and f"(x) = ( 14x – 19 1 with f'(x) = 4x + 1 156x + 115 3. Let f(x) = VI² – 3x +2 2 (r2 –…

A:

Q: 21 If fx)3then f(x) O 2x-2-1 3x 2x-3r2-3 3x O 2x-3x2-3 6x 2x 3x+2 O 2x-x2-1

A: Find the derivative of the given function.

Q: f  f(x)=ln(7x^6−3x^2) and g(x)=(π3lne‾‾‾√+13log2(16))5e+x5+6x,  f′(1)=

A: f(X)=ln(7x^6-3x^2)         2nd question is not written proper please write properly and resend

Q: Find critical number of f(x) = 4x^2 + 8x -1

A: We have to find critical number of  f(x) = 4x2 + 8x - 1 To find critical number, differentiate f(x)…

Q: -8- -7 -6- 5- y = f (x) 3- -2 sy = g(x) LO 4-

A:

Q: In a certain company, the income from the sale of x thousand pieces of products is given by I (x) =…

A: We first try to find the profit function.  Profit= Income - Cost…

Q: Determine {F}. F(s) = 7s² - 13s +2 s(S-1)(s-6)

A: Let 7s2-13s+2s(s-1)(s-6)=As+Bs-1+cs-6       ⇒7s2-13s+2=A(s2-7s+6)+B(s2-6s)+C(s2-s)       ⇒A+B+C=7…

Q: Compute f(c+h)−f(c) at the indicated point. f(x)=6x2​; c=4

A: Given : Function : f(x) = 6x2   To find : f(c+h)−f(c) at c = 4.

Q: .If f (x) = 5x - 2, g (x) = 2x - 3 and h (x) = x2, then (fogoh) (-1) =

A:

Q: Suppose that f(r, y) = x² – xy + y² – 4x + 4y with – 4 < x, y < 4. -

A: 1.)  Given Function is  f(x,y) =x2-xy+y2-4x+4y  with  -4≤x,y≤4  Then, fxx,y=2x-y-4…