Can f(z) = | Re (z2) | + i.Im (-z) be derived from the function z=0? Show it.

Q: Suppose that f(x) dx = 5. Calculate (4f(x) + 3) dæ-

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Q: 3 – x2, 0<x < 1 | f(2) dr, where f(x) = 1<r< 2.

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Q: For the function f(x) = Væ +3, find ƒ¯'(x). f (x) = (x + 3)° f-1(x) = Vã – 3 %3D %3| f-'(x) = x³ – 3…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A- TI x + 2 x² – 3x – 10 51. f(x) x + 2| 53. f(x) : x + 2 х, 55. f(x) : x, xs 1 [x², x > 1 %3D x +…

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Q: What is derivation of f(x) = (2x² – x + 1)³ at %3D Xo = 1 ?

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Q: Find the interval/s where the function is increasing and where it is decreasing: f (x) = x³ – 3x + 3…

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Q: The function f has a continuous second derivative, and it satisfies f(-8) = 5,f'(-8) = 0 and f"(-8)…

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Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

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Q: Зах + 3 for x -2

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Q: (B) Use the second derivative test to find the maxima and minima for f(2) = 22 - 15x + 1. 3 %3D

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Q: 3. Find f (x). 2 f "(x) = 18x –- f(1) = f '(1) -

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Q: 2. What is the domain of the function f(x) Vx + 4

A: we have to find the domain of the function. f(x)=x-2x+4

Q: If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)? %3D

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Q: 3x2-7x+8 f(x) = Find f'(x) %3D sin (5x2+9x-6)

A: Here we use division rule of differenciation.

Q: Find f '(x) given that f(x) = 2+5x 3x3+4 %3D Show your work

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Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

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Q: x- 2 if xS-2 2 1. Sketch: f(x) = - 2 2

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Q: Solve for f(x)+g(x) f(x)-g(x)   f(x)= 3x + 2, g(x)= 2x + 5   SHOW STEPS****

A: Given that the function: fx=3x+2  ,  gx=2x+5

Q: For the f(x) = 1/1-X^2 and g(x)= x^2/1-X^2 A) shows that these functions have the derivative B) what…

A: We need to find relation between f and g.

Q: Let h(x)=f(x)g(x). If f(x)=−2x^2+2x+3 and g(x)=−x^2−3x−4, what is h′(−1)?

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Q: The function f(x) = x²e*- ex has a root in [0,2]

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Q: 13, Consider the function f(x) = x + 4x2 + kx - 4. The remainder from f(x) (x + 2) is twice the…

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Q: Let h(x)=f(x)g(x). If f(x)=4x^2+3x+1 and g(x)=3x^2−3x−4, what is h′(−1)?

A: Given: hx=fxgx, fx=4x2+3x+1, gx=3x2-3x-4

Q: Find the positive critical point of the function f (x) %3D x4 + 7 x =

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Q: 3. For the function f (x) = 4x2 – 25, a) find f(-1) - %3D %3D b) find all x when f (x) = 0

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Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: Find f. 4 f'(x) = 1- Ex) = %3D

A: This is a problem related to integral. Based on the given differential equation we will calculate…

Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).

A: Given fx=7x2+4x-1.

Q: Explain why g(x) = f(x), if x ≤2 0, if x > 2 is not differentiable at x = 2.

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Q: Find ao of the function f(x)=(-x)², 0≤x≤ 2π

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Q: f(x) = Vxe-x/2 is inc decreacing

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Q: 21. If f(x) = 2x - 1 and g(x) 3x + 5, what is f(g(5))? %3D %3D

A: Given, f(x)=2x-1 g(x)=3x+5 f(g(5))=?

Q: Find (f-1)'(a). f(x) = V 3x3 + 3x2 + 2x + 1, a = 3 (f-1)'(a) =

A: inverse function derivative

Q: Find a and b so that the function 2.3 – 5x² + 2, x -2 f(x) = ax + b, is both continuous and…

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Q: Find f for the function z = - 3x6 0 02-30x4 ex ax = ex 7x8 1 8 6x 02-02-63 x = 6xy + 4y2.

A: This question can be solved using the concept of partial derivatives.

Q: If f(x)=2sin^-1(x^3), then f’(x)=?

A: Solution:

Q: 2 f(x) = x² - 9 %3D (- 4,f(– 4)) = (0,f(0)) = (4,f(4)) =

A: Given that  f(x) = 2/(x2 - 9)  We need to find the following points. Now, f(-4) = 2/((-4)2 - 9)…

Q: Find (f-1)' (a)   f(x)  = x3 + 3Sin x  + 2Cos x  , a= 2

A: Given expression: fx=x3+3sinx+2cosx Differentiate the above expression w.r.t 'x'…

Q: Find the local and absolute extremum for the functions over their domain: 2. f(x) = x3 + 4x2 – 11x –…

A: Given function is  f(x)=x3+4x2-11x-2

Q: f(x)=∣∣x−10∣∣ not differentiable? Why?

A: Given Data: Function: f(x) = ||x-10||   From function,   The derivative of function f(x) for x≥10…

Q: The derivative of f(x) 4 (22 +17x) is O -4c (2a + 17) O -4r 2(2x + 17) O 4x + 68 O 4x 2(2x + 17) O 4

A: Here, it is given that f(x)=4x(x2+17x) We need to find the derivative of the function f(x).

Q: Given that f(x) = 2x-2n + 8x², what value should be assigned to n to make f a function of degree 3?

A: Given f(x)=2x-2n+8x2. We need to find what value of n makes f(x) a function of degree 3.

Q: 19.yf(x) = 2|x – 1|; f(-2). f(0), f(¿). f(2), f(x + 1), f(x² + 2)

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Q: the antiderivative of f(x)= x3+ 4x2-3x-2+7x3/2-2sinx-11cosx

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Q: Find (f-1)'(a) for f(x) = V3x + 4 when a = 2. (Enter an exact answer.)

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Q: (-4x-12) dx (x+10) (x-4)- For F()- 1. What is F(3)? %3D

A: Option A

Q: The derivative of the function f(x) = 18 is 1 5x 18 5x + 18 18 5x4 + (x) 18 5x4 (교2) 18 5x4 + (23)

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Q: Find (f-1)'(a) for f(x) = V4 – 3x when a = 1. (Enter an exact answer.)

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