Given that f(x) = x², g(x) = x² fogoh= - x, and h(x) = x find

Q: Find f"(x), given that f(x) = 8 csc x+x* -7e2x -Vx²

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Q: Find f'(x) for f(x) = e5a+2x

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Q: If f'(x) = 2x- x-2, then f has inflection point(s) with x – coordinate(s) equal to

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Q: given f(x)=x4-8x2+2, find all x-values such that f(x) has horizontal tangent lines

A: Compute the derivative of the given function.

Q: Show that, for any constant k, f(x)' dxL k f'(x) k

A: To show: For any constant k, ddxf(x)k = f'(x)k

Q: Given g(x) = In(7x5 + æ), the derivative g'(x) is 5x4 35x4 +1 7x5 + I O 7z5 +x 7x +I 35x4 +1 O 35x*…

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Q: snip

A: Make the changes function in the  function (f+g)(x) by adding and subtracting terms such that…

Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

Q: If f'(x) = x³ – 2x* + x³ + 2, then f has inflection points at

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Q: Find f"(x) for the functions x² +5x f(x) = ex b. f(x) = (x² – 1)e* a.

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Q: For which values of c does f (x) = x2 + cx + 1 have a double root? No real roots?

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Q: Let h(x)=f(x)g(x). If f(x)=ln(3x2−2x−4) and g(x)=3x−1, what is h′(x)?

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Q: Given that f(x) = 4x+1 and h(x) = x°, find (h o f)(2).

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Q: Given that f(x) = 3x – 1, g(x) = 2x and h(x) = x + 1, determine: a. hgf(x)  b. hgf(-2

A: Given : f(x) = 3x-1             g(x) = 2x             h(x) = x+1  To Find : hgf(x)…

Q: Find h(0), h(x + 3), and h(-x) for h(x) = x + Vx² – 1. 2)

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Q: Given f(x) = x ^ 2 + 3x - 1 and g(x) = 2x + 1 ; what is (fog)(x)

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Q: The function f(x) =x³ – 3x2 + 3x -1, x e R has a point of inflection | at A) x = 1 B) x =-1 C) x = 3…

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Q: 2. Given the function f (x) = sinx and g(x) = x², find the value of g(fG)

A: Given function are f(x) = sin x   and g(x) = x2 We have to find the value gfπ4

Q: If f(x) =3 ln x and g(x) = e2 , find go f(x). %3D

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Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

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Q: of af For the function f(x.y)= 7x-9y- 3, find and dy

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Q: If f(x) = 4 – x² & g(x) = vx then find (fog)(x) , (gof)(-

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Q: Given that f(x) = 2x – 3  and h(x) =x2 - 4 Find:- i) f(-4) =   hᴏf(x)

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Q: Let h(x)=f(x)g(x), where f(x)=ln(4x2−3x) and g(x)=3x−1. What is h′(x)?

A: GIVEN,     f(x) =ln (4x2-3x)                  g(x)  = 3x-1                  h(x) = f(x) g(x)

Q: Let h(x)=f(x)/g(x), where f(x)=ln(3x2 +2x+2) and g(x)=−2x. What is h′(x)?

A: Here we use quotient rule, which is pq'=p'q-pq'q2

Q: f(x) = g(x) + h(x), where g(x) = 2x 4 + 12x2 + 4 and h(x) = -5x 3 - 3x

A: Given gx=2x4+12x2+4hx=-5x3-3x fx=gx+hx

Q: 2 Given that f(x) = 4x – 7 and g(x) = 4 – a?, calculate (a) f(g(0))=| (b) g(f(0))=|

A: Answer(a): The given functions are: fx=4x-7 and gx=4-x2. Then, the composition function is given as:…

Q: F(x)=Vxg(x)+3x, with g(1)= 1 and g'(1) 4, then F (1) is

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Q: Find fogo h. f(x) = x – 5, g(x) = Vx, h(x) = x – 5 %3D

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Q: If f(x)= x – 4 and g(x)= Vx – 2; | f which of the following is equal to (x)?

A: Rational function value

Q: e. f(x) = 2* OA. O(x²) B. Q(x²) C. O(x²) В. f. f(x) = [x][x] (floor of x times ceiling of x) OA.…

A: Option (B) is the correct answer.

Q: Find fogo h. f(x) = x* + 8, g(x) = x – 6, h(x) = Vx

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Q: f(x) = 27x² + 3x5 - 24x³ + √2x f(x) = + √2x 3 x x5

A: Find the general anti-derivative F(x) + C for the following problem:

Q: Find fogo h. f(x) = x – 8, g(x) = /x, h(x) = x – 8 %3D

A: Given that: f(x)=x-8g(x)=xh(x)=x-8

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

Q: With f(x) = 3x +1 and h(x) = 2x – 4, find (f o h)(5)

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Q: Find f ◦ g ◦ h where f(x) = |x − 4|, g(x) = 2x , and h(x) = √ x.

A: We have given f(x), g(x), h(x)  We have to find fogoh

Q: of the functions f(t) = e² implified.

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Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: f(x) = x* – }x' – x + 2x –1 -

A: Given   f(x)= 14x4-23x3-12x2+2x-1has turning point at where the f'(x)=0differntiate f(x) with…

Q: 2. a) Find a formula for f1 for the function y = f(x) = vx – 35

A: To find f-1 for y=f(x)=√(x-35)

Q: Given f(x)=2x @ g(x)=3x+4,solve for (g o f)(x)

A: Given- fx = 2x, gx = 3x + 4 To find- Solve for g∘fx

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

A: The given function is  f(x)=(x+1)x To find f''(1) .

Q: I find (g ∘ f)(x) by replacing each occurrence of x in the equation for_______ with_________

A: The meaning  of "g" of "f" (g ∘ f)(x) means gfx That is replace each occurrence of "x" in the…

Q: If F(X) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? A 3 В -1 (с) о D)…

A: To find out F(1)-F(-1).

Q: If F(x) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? -2

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

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Q: 5. For f (x) 3x 5 and g (x) 6 4x, find (fog) (x)

A: As per guideline we have to solve the problem

Q: Given that f(x) = x² – 6x and g(x) = x + 2, calculate (a) fo g(x)= (b) go f(x)=

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