Let f(x) = x' – 3x° + 6x3 3x – 7. Then f'(x) is f'(4) is f"(x) is and f''(4) is

Q: Find y as a function of a if y(0) = 7, y/(0) = -12, y'(0) = 108. y(x) = y" + 36y' = 0,

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Q: f"(x) = 4x – 2 and f'(-3) = -3 and f(-3) = –6. Find f' (x) = %3D and find f(4) :

A: f''(x)=4x-2 f'(-3)=-3 , f(-3)=-6

Q: If f(x) = (5x +7)°, then the value of (f-1 (x))' at (f(-1),-1) is

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Q: If f(t) = (t + 7t + 3) (5t² + 6), find ƒ'(t). Find f'(5).

A: Given : ft = t2 + 7t + 35t2 + 6

Q: Let f(x) = x* + 4x° +7x + 2x. Then f'(x) is andf (4) is f"(x) is and f''(4) is

A: Let f(x) = x4 + 4x3 + 7x2 + 2x We need to calculate the derivative and double of this function with…

Q: 3 Find f'(x)given f(x) = x/x – 4x – 7x %3D

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Q: x () - (-). y (1) J

A: Givenf(t)=sect   We are required to find f''π4

Q: Use the graph of f and g. Let p(x) = f(x)g(x) and g(x) 2 (a) Find p'(4). p'(4) = = (b) Find q'(1).…

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Q: The function f is defined by ƒ (x) = -2x³ – x – 5 and f(-1) = -2. If g(x) = f¯1(x), what is the…

A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 9x° + 5x2 + 8x %3D

A: differentiate wrt to x

Q: Determine f(x) given that f'(x) = 12x2 – 4x and f(-3) = 17

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Q: Let h(x)=√xf(x). If we know that f'(7) = 6ƒ(7), find a value for f(7) such that h'(7) = 4 (a) f(7):…

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Q: If f(t) = (t + 7t + 3) (5t? + 4), find f'(t). %3D Find f'(1).

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Q: Find f'(a). 1 f(t) t2 + 5

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Q: Let c =8 If f (x) = ecsin(). Find f' (0)

A: Given c=8and f(x)=ec.sin(x)⇒f(x)=e8sin(x)

Q: If f(t) = (t + 5t + 4) (2t² + 2), find f'(t). Find f'(3).

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Q: If f(t) = (t² + 6t + 7) (7t² + 4), find ƒ'(t). Find f'(2).

A: INTRODUCTION A function's differentiation can be used to display the rate of change of a function at…

Q: Given f''(x) = 4x – 6 and f'( – 1) = – 2 and f( – 1) = 4. Find f'(x) = and find f(2)

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Q: f(x) 132. Let h (x) = g(x) Find a. h' (1), b. h' (3) , and с. h' (4).

A: Given

Q: If f(x) (1)? = 2 x² + 3x x+1 " then what is

A: Given: f(x)=x2+3xx+1

Q: Let f(x) = Vx² + 10. Then f'(x) is f'(5) is f''(x) is and f''(5) is

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Q: For the function f(x) = 7x° – 5x + 2x + 7, find f''(x). Then find f''(0) and f"(5). f'"(x) = Select…

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Q: If f(x)=(x-2)(2x + 1)6, th en what is f'(O) ?

A: We will use the product rule and chain rule to find f'(x)

Q: For the function f(x) = (3x + 5)4, find f''(x), f''(0), f''(2), and f''(-3).

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Q: f"(x) = 2x – 4 and f'(-1) = -1 and f(-1) = -3. Find f'(x) = and find f(4) = %3D

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Q: - Find f (x) given f' (x) 6x2 - 4x + 3 and (2, 15) is on the curve of f (x) .

A: To find the function from derivative we need to integrate.Here we will integrate to find f

Q: Given f'"(1) = 9x +4 and f'(- 2) = 2 and f(- 2) = - 6. - Find f'(x) = and find f(4)

A: Given  f''x=9x+4          f'-2=-2  and f-2=-6          f'x=∫f''x dx+C                =∫ 9x+4  dx+C…

Q: Let y= f (x) be a function with f (4)=12 and f(4)= 0.5.

A: We have to find

Q: For f(x) = x? – 2x – 1, find f(2), f'(2), and f(3) – f(2). - a. f(2) = -1 b. f'(2) = c. f(3) – f(2)

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Q: B. f"(x)=8x³ +5, ƒ(1)=0, ƒ'(1)=8

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Q: Let f(x) = x' - 5æ + 7x- 4x 3. Then f'(x) is f'(1) is f"(x) is and f''(1) is

A: Given: f(x) = x7-5x5+7x3-4x-3

Q: Find f such that f'(x) = f(x)= f(16) = 21.

A: Topic:- application of integration

Q: Given that f"(x) and f(1) = 3x² + 2x – 1 and f'(1) = 0 3, find f(x).

A: Given equation is f ”(x) =3x2 + 2x -1 f ’(1) = 0 f (1) =3

Q: f(3.8) - If we knew that f"(x) < 0 on the interval (3.5, 4.5), would your estimate above be an…

A: We need to find f(3.8)

Q: Find f'(x) when f(x) is written in the following form: (x² – 3x + 2)z f(x) (x² – 9)Ž

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Q: If f(t) = (t + 3t + 6) (4t² + 3), find f (t). Find f'(3).

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Q: Given f (x) = x³ - 3x – 1,x 2 2, find (f~')'(-1)

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Q: f"(x) = 7x – 2 - and f'(-3) = –6 and f(-3) -2. Find f'(x) = and find f(4) =

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Q: Find f '(a). 8t + 18 f(t) t + 3

A: The function is given as ft=8t+18t+3 Differentiate the above function w.r.t 't' f't=ddt8t+18t+3

Q: Given f''(x) = 3x – 6 and f'(– 3) = – 2 and f( – 3) = - 1. Find f'(x) = and find f(4) =

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