If f (x) = 2 x³ + 8 x² + 3, at what points are f '(x) zero or does not exist ? 8 0, 3 A 8 B 0, 3 1, 0 4 D 0, - 3

Q: 23. If f(5) = 4, fi(5) = –1, g(5) = 2, and g/(5) = -3, find h/(5) for each of the following…

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Q: Show that the equation Fu 1 u 0x² ² 3t² 0 is satisfied by u=f(x+ct) + F(x-ct) where fand F are…

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Q: 5. Let f(x) = x² + 3x and g(x) = 2-x. (a) Find (f - g)(x) (b) Find (fg)(2) (c) Find (4) (x) and its…

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Q: Show that f[x0, x1, x2] = f[x2, x1, xo].

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Q: 3x10 + 3a5 + 5æ² + 7. What particular solution that satisfies Suppose f'(x) 455 -? 66 f(1)

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Q: Match the quadratic function f(x) = −(x − 4)2 with its graph.

A: Given,f(x)=-(x-4)2 Here we have a quadratic function. Substituting x=4 in f(x) we get:…

Q: Find f'(x) for each of the following:< Ax) = 3x³ – 2x +4 b Ах) — 3(х + 2)? -2е a 8x* – 3x Ax) = Ax)…

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Q: of Find (7,- 2) if f(x,y) = 4x² + 7xy - 3y? + 6x - 5y - 2. of (7,- 2) = (Simplify your answer.)

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Q: Find the value of fa and fy at (1, -1) when 4 f(x,y) =+5x²+3y². xy 1. 1- = 9, f = = -7 2 2. f= = =…

A: use partial differentiation for finding the solution.

Q: Find f, (2,0) if f(x,y) = 18x e Y. 1,(2.0) = %3D

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Q: 19 THE SET OF Funспопо f₁ (x) ex+2 LINEARLY DEPENDENT OR LINEARLY INDEPENDENT ON (-00,00) = AND…

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Q: бх + 5 -, is 10х + 8 The derivative of y =

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Q: 10) Find (ƒ^¯') (-5) if ƒ(x)= x³ +3x−1.

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Q: 4. TRUE or FALSE: If f(a) 0, then # x-a is a factor of f(x).

A:

Q: 1. Assume that the function f is a one-to-one function. (a) If f(2) = 5, find f-(5). Your answer is…

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Q: Find f" (x) if f (x) = 3(2x¹ + 2x² + 1)¹. 48 (2x³ + x) (2x² + 2x² +1)³ 48 (6x² + 1) (2x² + 2x² + 1)²…

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Q: Rx) = 3* f(x) = 3* -4 -2 2 4 y y 10 10 5. -4 2 4 2 -5 -5 - 10f - 10 y y 10 10 -4 2 2 4 -4 -2 4 -5 -5…

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Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

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Q: function of xx if

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Q: 10. The y" of y = (2x¹ + 4x³)(3x¹ − x³) is - a. 336x6 +420x5-120x¹ C. b. 336x5 +420x4-120x d. 48x7…

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Q: 7- Differentiate Y= f(g(x4)) h³(√x)

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Q: 3. Is the function given by (x²-4x-5, x<5 F(x)= x+1, x25 continuous at x = 52 why or why not ?

A: Given function, f(x)=x2-4x-5;x-5;x&lt;5x+1;x≥5; The objective is to tell whether the function is…

Q: If f(x)=7x-3-4x-2-15x-20 then f'(1) will be; Select one: a. -15 b. 20 c. 28 d. -28

A: We will find first derivative and then substitute x=1 in it

Q: 7. Consider the functions f(x) = 2x² - 7x + 4 and g(x) = -7x + 5. a) Find f(-1). b) When does g(x) =…

A: Function is f(x)= 2x2-7x + 4 .............(i) We've to find the Value of f(-1) Put the Value of x=…

Q: 33. Given the function f(x,y) = 3x – x³y² + 2x³y, what is A. 3– 2ry + 6x²y B. -2ry + 2r C. 3 – 2ry²…

A: From the given function; fx,y=3x-x2y2+2x3y As we know that, The Power law: ddxxn=nxn-1

Q: Let f(x)=6x+1 and g(x)=5-x^2 , find (f o g)(x) a. x^2 b.-6x^2+30 c.-6x^2+31 d.-36x^2-12x+4 e.…

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Q: Differentiate f(x) = Vx² + 1(³. Do not simplify. x+2"

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Q: 3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.

A: fx=x2+2x+1

Q: 6. Simplify the follow (1) D-A B C+.

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