Consider the function f(x) = 9x8 + 5x® – 4x° 4г* — 3. Enter the general antiderivative of f(x)

Q: If y = f(x), then f'(x), y', [Select] dy da and f(x) all represent the of fat x.

A: If , then to determine the meaning of .

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: Consider the function Compute f"(x). X = 66²⁰ - f(x) = -3t²- f"(x) = -4t+ 3 dt.

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Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)

Q: If z = f(x) + yg(x), what can you say about zy? Explain!

A: Answer is 0

Q: Suppose that f(x) is an antiderivative of f(x) = V1 + xt. Express JoV1 + x* dx in terms of F and…

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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: If SeF dr = [c(-5x + 3y² ) dx + (x³y) dy, what is F? %3D F =

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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: f(x) = 4x In(x), x> 0.

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Q: Let F(x) =Cx41D, fCx)=X,and gox)=x+1 True or fals e (gof)(x) = FCX).

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Q: Let f(x) = xV*. Find f'(9).

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Q: 22. Find the "natural" domain of the function f(x)=16r +Vx. x'-16x

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Q: a. The f'(3) for y = v2x² + 7

A: Since, y=f(x)=2x2+7 -(i)Differentiating equation-(i), with respect to 'x', we…

Q: f(x) = V5 + v6x. Find f '(x).

A:

Q: Find an antiderivative of (3x3+9x5)/x6 in the variable x where x does not equal 0.

A: From the given problem:   3x3+9x5x6   So,    3x3+9x5x6=∫3x3+9x5x6dx   We can simply write as:…

Q: Choose True if the statement is correct, otherwise False. If f(x)dx is to be integrated and u =…

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Q: Let F(x) = x √ √2+1 dt. Find F"(1) 3

A: Given: F(x)=∫3x t2+1dt Leibniz integral rule for differentiation states that ddx∫a(x)b(x)…

Q: Suppose that f(x + h) – f(x) = 7hx? – 8hx + 5h²x – 3h? – 7h³. Find f'(x).

A: The quotient difference formula is given as, f'x=limh→0fx+h-fxh it is given that…

Q: Let fCx) 10 t 7x what is f'(×) ?

A: Given function is as below:

Q: a fif f" (t) = 2e* +3 sin(t), f(0) =-8, ) =

A:

Q: Find dy/dz y=f(z) (2x2+3x+1) where f(z) is a general function and z=4x3+2

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Q: Differentiate the functions. a) f(x) = 2 – 3x + b) f(x) %3D Зе* + sinx c) f(x) = 3x

A: As per guidelines, we will solve only first three subparts. Kindly repost other subparts separately.

Q: Find the Green's function G" + k²G = 8(x − s), G(0, s) = 0, Gʻ(L, s) = 0

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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: Let f(x) = 3x − 1, g(x) = x^2 + 1 and h(x) =x+1/3 Evaluate (h°f°g)(3).

A: f(x) = 3x − 1, g(x)=x2+1 and h(x) =x+13 To Evaluate (h°f°g)(3).

Q: Let f(x) = In(x² – 14x + 52) f'(x) =

A: