Question 7 Find the values of a and b if f(x) = bx³ - 1, if 3x + a, if O a 3 and b = 1 O a = -3 and b = 1 O a = 1 and b = -2 O a= 2 and b = -1 so that f'(1) exists, x< 1 x ≥ 1 4

Q: Question 14 4. If f (x)= ,then f '(x) equals (1+3x)5 60 A (1+3x) 25 60 (1+3x) 10 - 60 (1+3x) 10 - 60…

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Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

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Q: If Fc{e¯a#} = a²+p² ' find the F's{-a e a"}

A: Given Fce-ax=pa2+p2

Q: If f(x) = 21, find f'(– 10).

A:

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

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Q: If f(x) = x² m2. find f'(2).

A: We will use simple differentiation rules to solve these questions.

Q: two friends are trying to figure out how many supernova explosions there will be by looking at the…

A: The given function is fx=sin2x-cos2x-1 Convert sin and cos into the single function of sin…

Q: f f(x)=- X+1 2x+1 1 = (2x + 1)²* 1 (2x + 1)² O 3x+1 (2x+1)²* 3x+1 O (2x + 1)² then f'(x) =

A: Topic: derivatives

Q: If the function f(x) is defined as f(x) = = (4-2√√x)² √x -,x>0 Then, what is the value of ƒ'(16) = ?

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Q: Suppose that f(x) 2 4x Find f'(x).

A: use quotient rule for differentiation

Q: Question 5 x3+5 Determine f '(x). f (x) = (A 1- 10x-3 B 3x2 3 2 (D 5x4 + 10x 2.

A: Given: fx=x3+52   As we know that; The sum./difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Suppose that f(x) = 2x4 + 9x2. Evaluate each of the following: f'(1) = f'(-3) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 6x3 + 5x* + 3x Suppose that f(x) = Evaluate each of the following: x3 f'(-4) = f'(1) = %3D

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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 h(x) = x - 1, then x is when h(x) = 1. а. 1 b. -1 -1 С. 2 d. 1

A: I think, there is some problem in question, so, don't worry I calculate both possibilities h(x) and…

Q: Question 14 (2) + h(x)]dr 8 1.5 -2/6 -7 -6 Blank 1:

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Q: Find f'(a). f(x)= 16+x-8x²

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Q: If h (x) = (x² – 2x 43 04/0 0 - 12/25 3 00 - (x² – 2x − 1) ³, then h' (0) =? - 43

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Q: Given f(x) = x + 4, x < 0. Find (f-1)' (5) 10 1 2 | 29

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Q: Provide the table of signs for both f' and ff'.

A: Given function is fx = x+334x-12 = x4 +12x-1+16x-12 +114. Also, given that f'x = x-9x+324x-13    and…

Q: the inverse function of f(x) = ax is x+c hat is the value of a + b + c? +C= f-¹(x)= 8x - 7 .-x+3'

A: Topic:- algebra and calculus

Q: If f(x) = cos x, then f'() = A. B. - C. - C. D. √3

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Q: [2, 03 b) If f(t)={ , find L{S(1)}.

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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: 7 f(x) = 2x' + х— 2 + f'(x) = 2.

A:

Q: 1-6 A function f is given on the interval [-7, 7] and ƒ is periodic with period 27. (a) Find the…

A: The Fourier series of a function fx over the interval -π,π with a period of 2π is…

Q: Find the first derivative of e O - (3x+2)e-³r x3 O (3x+2)e-31 x4 O(x-2)e-³x x3 O- - (3x²+2)e-3x x3…

A: To find the derivative of the given function.