If f(x) = 2x¬1, then f'(x) is equal to a. x2 b. 1 2x C. 4 x3 d. 4 x3

Q: Find f given that f" (x) = 4+ 6x + 24x?, f(0) = 3, f(1) = 10

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Q: · (x−1)² √x d) f - dx =

A: To evaluate the following integral.

Q: 7) f(x) = x² – 3.x; Find f(-8) |

A:

Q: 16. The derivative of the function f(x)= x - X +2 is X - 1 (x* - 2) V a) b) (x? -2) Vx x? - 2 d) X +…

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Q: 2x²-3x+7 7. Let f(x) = _ Find f(3). 5x2-2x

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Q: 6) Differentiate: a) f(x)= 5x-3 +1)

A:

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

A: f(x)=7x+38 , we have to find f-1(x)

Q: 2. If F' =fand f(x) = 18x 12x+ 2x, which of the following could be F(x) ? %3D %3D - (A) 3x° – 3x* +x…

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Q: 10. Differentiate each function. a) y= -3x² + 4x – 5 b) f(x)=6x¬1- 5x=2 O f(x)= 4Jx

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Q: Suppose that f () = 8200 and f (8) = 2600. (a) Write the linear function f, and (b) find the value…

A: Given  f12=8200f8=2600

Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: 16. f" (x) = x² + p3 %3D

A: The given function is f''x=x2+x3. The function f(x) can be obtained by integrating the given…

Q: A. f(x)=x'+3x-x-3; f(1)=0

A: Q 1 Consider the given polynomial as fx=x3+3x2-x-3: f1=0 If f1=0 then, x=1x-1=0

Q: Consider the function f (x) = 25 + 3x² – 7x + 2+4. What is f' (2) ?

A:

Q: For f(x) = x? – 3x + 5, find f(2), f'(2), and f(3) – f(2). a. f(2) b. f'(2) = c. f(3) – f(2) =

A: Given that, f(x)=x2-3x+5

Q: I Eliminate the arbitrary constants y = x²+ ax + be*

A:

Q: Find f(g()) and g(f(2)) for the pair of functions. f() =+1 g(2) 34x-17 flo(2)) = %3D 9(f(=)) = %3D

A: Given, f(x) = x + 1  g(x) = 4x - 17

Q: 1 f (x) =

A:

Q: e) k(x) = (2x-1) ³x

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Q: Let f(x)= ax'+x² + bx +6 where a and b are real numbers, and f(2)=3. Find the value of f(-2).

A: f(-2) = 17  The detailed solution is as follows below:

Q: If f(x) = V15x, find f (x). Find f (3).

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Q: Given f (x) = 9x. Find f' (æ).

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

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

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: 8. If f(x) = -2x + 6, find the value of f(-3). %D

A: topic - functions

Q: 5) For functions f (x) = x² – 15x + 45 and g(x) = x - 9, find |(x)

A: f(x)=x2-15x+45, g(x)=x-9, (fg)(x)=?f(x)=x2-15x+45  g(x)=x-9  Now fgx=f(x)g(x)             [Quotient]

Q: f(x)=xnex

A: f(x)=xn exThe doamin of the function is when n is even and odd is x∈ℝand the range of the function…

Q: Find F (x) Fx)sinor)

A: Consider the given function

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

A: fx=x2+2x+1