Aind (f.a)) when f(x)=x?+8x+15 Land ga=

Q: Suppose that f(x) = 11e^(x) - ex^(e). Find f'(3).

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Q: d the local max and min values of the function f(x)= 3x3 – 2x if it exists.

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Q: 2. If f(x) = e*+ °, what is f"(x) ? x'+ 5

A: Given that f(x)=ex2+5 find out f11x

Q: df If f(x, y) = x² + 2x – 1, then 0. - ду True False

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Q: x2-8 If fx)= X-4 where is f not differentiable?

A: Given the function

Q: If f(x) = Jx-3 then f(-3) + f(12) is

A: We can make it easier for you

Q: Determine £(F) s -7s+11 F(s)= (s+ 1 (s +6)

A: Given that  F(s)=2s2-7s+11s+12(s+6)

Q: 3.) If fcx)= (2*+D?; find f'cx) f'(x) = Find f'(3) f'(3)=

A: Given function fx=2x+7-2 This can be written as fx=12x+72 The derivative is  f'x=-22x+7-2-1·2…

Q: Let H (x) = f (x)h(x). What is the value of H'(4)?

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Q: Given f(x) = In(- 4e" – 13), f'(x) = %3D

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Q: 22 Which value of x is NOT in the domain of the function f(x) %3D 11x 33 -

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Q: 5. Defuef f(マ)L as f Cau (a) り)I(2

A: Given function is, a)  f(x,y)=ln3x2-x2y2+3y2x2+y2 b) f(x,y)=3x2yx2+y2

Q: 9. If f (x) = e3*, then (f-1)'(x) = %3D 2 А. e3x e 3x 1 С. 3e3x 1 D. 3x B.

A: Given function is fx=e3x. To find: f-1'x Solution: To find inverse of the function, we will replace…

Q: 3 na of the function f(x) =x3 -x2 - 6x + 12, -3 < x< 3. 2

A: Solution of the problem as follows

Q: What is f′(x) if f(x)=40x^5/e^x

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Q: f (1), where f (x) = 21 + x2

A: Given function - f(x) = x2+21         ...........(1)f-11 = ?First we need to find the inverse…

Q: Astermine dy àf if 2ny-g=3.

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Q: 3r + 3z-5 Evaluate f(a) at a -4.

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Q: 6. If /f(2)dæ = (x + 5)*eª + ln(|æl) + C, what is f(x)?

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Q: 17. If f(x - 1)+ 2/(1 — х) %3 3х, what is f(x)? А) -Зх + 1 В) х—3 С) -х +3 D) -3x – 1 |

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Q: Let f(x) = e*. What is f' (3)?

A: Differentiate wrt x

Q: [4 Let A = * 1. Find f (A), where f(x) = 2x3 + 3x2 + 4x + 5

A: Answer

Q: Let f(x) = 3x In f'(x) = 3x1 + 15x1 In(a) f'(e?)

A: We have to solve

Q: (b) f(x), where f(x) = (2x +1 x 1 Evaluate

A: We have to find the value of the integration between the limit 2 to 5.The function is piecewise…

Q: 6. If f(x) =-2x + ax? +2 and f(2) = 2a, find a.

A: The given function is fx=-2x3+ax2+2. It is given that f(2)=2a.

Q: a. h(x)=(8-f)(x). *T

A: Graph. Here values are estimated from the given graph.

Q: If f(x) = e2" , what is f"(x)?

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Q: (e2* ) In(3x+2) Vx' - x -1 Determine f '(x) if f(x)= DO NOT SIMPLIFY!

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Q: If f(x) = 3 + 2x and g(x) = square root of 4 + 4x Then, what is the composite function of f o g?

A: Given: - The functions are, f(x)=3+2x and g(x)=4+4x To find: - The composite function of f∘g

Q: x²-6 2 If f(x) = X +3 where is f not differentiable? X%=

A: Given: fx=x2-6x+3

Q: F(x)= at a=-2 x+2

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Q: (So g)(x) is

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Q: What is the value of f'(0) if f(x) = (x² – 2x – 1)i? %3D O Option 1 O Option 3 O Option 4 O Option 2

A: Given:  f(x) = (x2 - 2x - 1)2/3 To find: value of f'(0)

Q: 5x -1 7. f(x) = 3. a) HA at b) VA at

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Q 2/ find the value of (k) to continue the function (Vx+1-V2x f(x)= x2-x x = 1.

A: For continuity of function  Lim of f(x) at x=1 should be equal to k

Q: Let f(x) = 4e"+2 + e-3. | f'(0)

A: Question is solved.

Q: If f(t) = 100(0.05)0.04t, what is f(0)?

A: In this question we need to find a value of the given function at t=0

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

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Q: If f(x)=2sin^-1(x^3), then f’(x)=?

A: Solution:

Q: 5 If f(x)=g(x)+3 where 2<xs 5, then [[{(x)+g(x)]dx = 2ſ8(x)+3.

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Q: Find the range of f{x}=x² +5x+6. O (00, 0) O (o, -1/4] O -1/4, )

A: Topic = Functions

Q: 3. What is the domain of y =f°(e) # f(;)={-1°?

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Q: Find $ such that D =F. x - hg - hp-

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Q: Let h(x)=f(x)g(x) where f(x)=2x^2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

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Q: Find f(0) iff (x) et?

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Q: What is the range of {(x,x³) | x E N} ?

A: Solution - Domain is the set of natural number. x € N  X = (1,2,3,4,5,...........)

Q: Let f(x)=6e^x+1+e^7 f'(0)=

A: