For Exercise, find the indicated functions. f(x) = 2x + 1 (g • f• h)(x) g(x) = x² h(x) = Vx

Q: Let h(x) = f(x) – g(x). If f(x) = 5x² and g(x) = 2x³, what is h' (1)?

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Q: Sketch the domain of the f(x, y) = ln((x² + x² – 4)(16 – x² – y²)) |

A: Recall:  Domain of the function:           The domain of the function is the set of all values for…

Q: Find df/ dx of  f(x)=(x2-1)(x3+3x2/x2+2)

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

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Q: Using the criterion of the first and second derivatives, find the graph of the function c) F(x) = x…

A: Topic = Functions

Q: find all possible functions with the givenderivative. y' = x3

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Q: The function f(x) = Vx – 2 + V4 – x is.

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Q: Given the function f(x) = Vx5 – 3Vx2, find the interval(s) of increase.

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

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Q: y = e2=²-x %3D

A: Solve the differential

Q: Consider the two functions f(x) = x² + 3x and g(x) = Sx² – 2, x 0

A: Given:                     Evaluate the following

Q: A function f(x) = v1 – x² is

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Q: =V find f(x). 3/ x7 For the function f (x) = ,find f-1 (x).

A: Given function,f(x)=x753 ,we have to find f-1(x)

Q: Let h(x)=f(x)g(x). If f(x)=x2−3x,g(0)=−1, and g′(0)=−4, what is h′(0)?

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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: Let f(x)=3x^2+7x-4 and g(x)=9x^2-5x+1. Which equation shows h(x), where h (x)= f(x)-g(x)?

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Q: The antiderivative of the function f(x) .2+9x is. 8.

A: We use basic integration method to solve this Question

Q: Let f(x) = ln(x7) f'(x) = ƒ' (e²) =

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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: Find the domain of the function. f(x) = √(ln x)

A: To find domain of the function fx=lnx. Solution: Domain is the input value for which a function is…

Q: 10) What is the domain of the function f(x) = Eo?

A: Domain

Q: Find the value of a that makes the following function differentiablefor all x-values

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Q: Differentiate the function. f(x) = e2 f'(x)

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

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Q: x + Vx? -1 f (x) = X

A: Consider the given function, fx=x+x2-1x the domain of the function is the set of all possible real…

Q: For function f (x, y) = y2 x2 +1

A: Please refer the attached image for complete solution.

Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x^2, what is h′(−1)?

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Q: Find the domain of the function: h(x) = ln x2

A: h(x)=ln x2

Q: Compare the values of Ay and dy if f(x) = x³ + x². 2x + 1 - æ is changes from 2 to 2.05.

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Q: Find f'(x). Vx- 19 f(x) = e %3D

A: Given,            f(x) = ex-19

Q: State the interval of the function g(x) = E-x is %3D

A: The given function is gx=32-x  exist in the interval (-∞,32] and does not exist in any other…

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: let h(x) = f(x)/g(x), where f(x) = -3x^2 + 2x + 2 and g(x) = -2, what is h'(x)?

A: Given  hx=fxgxwherefx=-3x2+2x+2gx=-2 To find the derivative of h(x) Quotient rule is to be used…

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

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Q: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2)

A: The given function is: fx=lnx4x To find the first derivative of this function, apply the quotient…

Q: 2. Derive. f(x) = e*xe

A: To find the derivative of: f(x)=exxe

Q: For function f (x, y) = x2+1

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

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Q: Find f'(x) for f (x) = v5+ e2x

A: Given,          fx=5+e2x

Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?

A: Add the given two functions and differentiate with respect to x

Q: Find values of x where the function is not differentiable f(x)=lx-2l+3

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

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Q: Let h(x)=f(x)−g(x). If f(x)=5x2 and g(x)=2x3, what is h′(1)?

A: Consider the given functions, fx=5x2 and gx=2x3 Since it is given that hx=fx-gx so substitute the…

Q: Find f(x) * g(x) when f(x) = e2x and g(x) = e4x %3D

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Q: Find  f' in terms of g' .

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Q: Find Derivative

A: The given function is,

Q: find f'(x) of f(x) = sqrt(e2x+2x)

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

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Q: Find f'(x) for f(x) = 2x°e*. f'(x) =

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Q: Find f(x) + g(x) when f(x) = ex and g(x) = e³x

A: Given functions are f(x) = e4xg(x) = e3x