Question 2 Suppose f(6) - 5 and f'(6) = 5. Find the following. = da ((7x² + 3x + 5) el(z)) at x = 6 is d f(x) (In (72² + 3x + 5) da at x = 6 is

Q: Find f'(x) for f(x) = - 8A√x - 5Bx⁹ where A and B are constants. Completely simplify any fractions.…

A: Solution of given question is written in below steps.

Q: -5x2 – 3 If f(x) = then f'(0) is 4х + 2 O - 3 О 13 O - 1/3 Оз

A: Solving the problem by obtaining the derivative.

Q: If f(x) = (x − 2) 5(2x+1) 6, then what is f"(0) ?

A:

Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x<-10…

Q: a. Let f(x) = (-4x² + 3) (-4x² − 3). - Then f'(x) = b. Let g(x) = 2√√x + 3 x4 +2x² Then g'(x) Hint:…

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Q: Finally, use the Generalized Power Rule to determine[x -x], noting that x-x is the difference of two…

A: Here we have to find differentiation of f(x)

Q: 1. (a). Show that (1 · 1) + (0 ∙ 1 + 0) = 1. (b). Find the value of (1 + 1) .

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Q: Suppose that |?′(30)|=1.8|f′(30)|=1.8 and ?(30)=52f(30)=52. Fill in the blanks (including units…

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Q: d(x) = x - 1, f(x) = x²00 factor not a factor

A:

Q: Show that an = 1/2n + 1 is decreasing.

A: Given: an=12n+1 Substitute 1 for n in the equation an=12n+1. a1=12(1)+1=13=0.333

Q: (3)f(x) = x – [x]; 0x=5 (i) x=

A: Greatest integer function:  A function that results  in the greatest integer less than or equal to…

Q: Differentiate. f(x) = In In dx (5x + 2)(x+7)3 (1-6x)6 (5x+2)(x+7)3 (1-6x)6

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Q: Given that f(x) = 3x/x-9, for what values of x does f(x) = 4/5?

A: To calculate the value of x.

Q: and g( x) = 7 − ( x − 3)^2 , a.) Solve for x: f ( x) = g( x) (Answers c

A: Inequality: a)f(x)=3x3-4x-3g(x)=7-(x-3)2f(x)=g(x)3x3-4x-3=7-(x-3)23x3+x2-10x-1=0The solution isx≈…

Q: Find 9 JBS if [3f (x) - g (x)] dx = i 9 9 frode = 2 and 1200dx = 50 [80 (x) dx g (x)

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Q: QUESTION 2 Find the general solution, in terms of real functions only, of x' = 3x + 4y y' = -0.5x +…

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Q: If f(x) = 18x2 + 96 3 ³√√x' find f'(8).

A: Given Function:- fx=18x23+96x3

Q: If h(x) = (4x – 7)/5   then h-1(x) =

A:

Q: In (x²) esin(2r)

A:

Q: Given h(r) = 1/r+8, find the following.  h(x^2)+1

A: We have to solve the given questions

Q: Given f(x) = 7 + 3  /  8  , then f-1 (x)  will be?

A:

Q: Ex: f(x) = 3x+8 and g(x)=2x-1 Find (f/g)(x). 3x+8 2x-1' 13 24 2x-1 3x+8' 2x-1 3x+8' 80 x # 1/1/2 x =…

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Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: Ify= (x³ + 1)“ , theny = ? (A None of the given choices B(3x2)? © 2(x³+ 1) O 6x²(x³ +1) E 2(3x² + 1)…

A:

Q: If f(x) = x*3 − 6/x, find the following:a) f(-1/2)b) f(2)c) f(-2)

A: Answer: a) -27/2 or -13.5

Q: If f (x ) = 2r -1/2 then f(x) equals ?

A: The solution is given below.

Q: If f(x)= x^2 − 4x − 1  find the following. (a) f(x+a) =  (b) f(a) = (c) f(x+a)−f(a) = Note x^2…

A: Given that:f(x)=x2-4x-1

Q: ex - 32 √x +x 22

A:

Q: 04. + 2- 3r-11 (a) Show that -0 can be rearanged as

A: Given that: f(x)=x3+2x2-3x-11

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

A:

Q: By using False Position for f(x) = x3 - 4x +4 (XL=-3; xU=2) xr will replace

A: This is interesting question but before the solution we must know about the  false position method…

Q: Compute each of the following for the polynomial f(x)=−7x^8+7x^5+7x^3−6x. (a) f′(x)= (b) f′′(x)=…

A: We have f(x)=-7x8+7x5+7x3-6x (a) Now Differentiate with respect to "x"…

Q: (2.00-x) Vq₂ = ±xV|q₁|

A: