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## Related Calculus Q&A

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Q: 15. With f(x) = 3x +1 and h(r) = 2x – 4, find (f oh)(5) - %3D

A: we know that (fog)(x) = f (g(x))

Q: 4. If f(z) is the principal branch of z3, find f'(–1– i).

A: Click to see the answer

Q: -f(x) 12 Yukarıdaki şekilde y = f (x) fonksiyonunun grafiği verilmiştir. Buna göre

A: Given : from graph we can find f(-3) = 3 f(0)=2 f(2)=1 f(-6)=0

Q: Find a good numerical approximation to F(4) for the function with the properties that F'(x) = e-x+15…

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Q: 3 Let f(x) = 2 + In(bx), where b is a positive constant. Find f'(x).

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Q: - Find the zero and its order for the function f(2)=1-Ti+Z+e.

A: Note: If W is the Lambert function then Wxex=x

Q: 3 Given the function: f(x) = (1+ x)³/2 . x - 1 Prove that it is increasing on (0, +00) analytically,…

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Q: Suppose f(x) is the function such that for a > 0 we have f(x) = (e" – 1) In(x) and for x < 0 we have…

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Q: Q3. Discuss: max f(x), where f(x) = cos.x . (Start with a graph of the function, and confirm your…

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Q: 1) Find the second derivative for the following functions: a) f(x) = 4x³ + 3x² + x – 14 b) f(x) =…

A: Solve derivative a fx=4x3+3x2+x-14b fx=4x-3+2x-4c fx=5ex-e3x

Q: 4.8 The derivative of f(x) = 1/(1 – 3x) is given by %3D 6x (1 – 3x)? Do you expect to have…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Consider the function f(x) = -5x* – 11æ³ +x² + 2x – 17. What is the 3 smallest number n such that…

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Q: Find fogoh. f(x) = 3x – 1, g(x) = sin(x), h(x) = x2 %3D

A: Given function: fx=3x-1......(1)gx=sinx......(2)hx=x2......(3) The objective is to find fogoh

Q: In(4x Given f(x) = the derivative f'(x) is 4 1 4x 1 4x O 4 O z4z

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Q: 9. Find the domain of the function 1 – ex² 1 – e'-x? f(x) =

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Q: 3 Use the definition 平grien FuncTionsEat'co,): for ー X+y X-ツ ix=ツ ) fory) =) singty4) ーty2 (x) #…

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Q: 1. Find the domains of the following functions. x2 - 2x 2.x-3 (a). f(x) = (b). f(x) = (c). f(x) = 3…

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Q: Suppose h(x) =23r +1 What is the correct result of the derivative of h with respect A h'(x) =3-23x +…

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Q: 11. Suppose that the equation g(x, y, z) = 0 determines z as entiable function of the independent…

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Q: In(4x) Given f(x) = the derivative f'(x) is 4 1 4x O 4 4 O x4x 4x

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Q: 11. Suppose that the equation g(x, y, z) = 0 determines z as a differ- entiable function of the…

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Q: Find all critical points of the following function. 3. 3 f(x.y)=- + 8xy

A: To find critical points of f(x, y) we find ∂f∂x and ∂f∂y then equate to zero .f(x, y ) =…

Q: 25. If f(x) = (cos x)*, then %3D is k-0

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Q: 5. Find the most general antiderivative of the following function. 2x² +5 f(x) = x² +1

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Q: Find the particular antiderivative F(x) of f(x)=4x−3 that satisfies F(1)=8.

A: The given function f(x)=4x-3, its antiderivative satisfies F(1)=8

Q: Let f(x) = cx + In(cos(x)). For what value of c is f'(n/4) = 9?

A: f (x) = cx + ln ( cosx)To Find: For what values of c is f' (π4) = 9Proof: We will differentiate f(x)…

Q: df If f(x) = e" In x, then, when x 1, is dz nonexistent O 1/e O 2/e e

A: Answer is below

Q: a2f b- For the following functions prove that ax2 ay2 1- f(x,y) = e-2y cos 2x %3D f(x,y) = In/x2 +…

A: The first step inludes the partial differentiation of the functions individually with respect to y…

Q: Which of the following is the derivative of the function f (x) = 5x · e*? Of (x) = 5e* Of'(x) = 5e*…

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Q: 2.if f (x) = x2 + 3, with domain R then f(x) has f(x) %3D O T F

A: Here the given function is f(x)= x2+3 with domain R We need to find it has inverse or not.

Q: Suppose that the function ƒ(x) and its first derivative have the followingvalues at x = 0 and x =…

A: Given that: The function f(x) and its first derivative have the following values at x = 0 and x = 1.…

Q: Given f(x) In(5x) the derivative 5 f'(x) is 1 5x 1 5x O 5 O x5x 1

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Q: 3) Let f (x) = e=x² Where is y'> 0? What does this tell you about the original function?

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Q: b- For the following functions prove that ax2 = 0 ay2 1- f(x, y) e-2y cos 2x 2. f(x,y) = In/x² + y²

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Q: 1. Using the following formula find (f-1)'(2): ƒ(x)= x + Vx

A: Solve the following

Q: The derivative of g(x) = (1/2)* is: positive for all x O negative for all x negative for x >0 and…

A: Given function is gx=12x ....1

Q: 1. Consider finding the root of f(x) =x´ – 5 use secant method, ɛ = 0, and start with the a interval…

A: given , f(x) =x2 - 5 we have to find roots of f(x) in interval by using secant method

Q: 1. Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A: see 2nd step

Q: For what value of the constant c is the function f continuous on (-o S cx2 + 8x x3 – cx if x 3 с 3

A: Click to see the answer

Q: 2.4 Use the definition of the derivative of complex function to show that f(2) is not dif-…

A: Click to see the answer

Q: In the function: f(x)= (3x^2)ln(x) , x>0 When is the function concave up and concave down in…

A: For concavity we need second derivative.

Q: For the function f(x,y)= (x² + y²) tan(ln(xy)) + e(x-y) which of the following is the value of…

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Q: 1) Find the absolute extremum values of f(x) = x2 – 2x + 9 over the interval [1, 2).

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Q: '18 6. If f is continuous and f(x) dx = 16, find f(2x) dx. %3D

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Q: 1) Find the absolute extremum values of f (x) = x² – 4x + 9 over the interval 1,4| -

A: Given, fx = x2-4x+9 We have to find the absolute extremum values in the interval 1, 4

Q: -ツ() The function f(x) is invertible. Find given that f(x) = 5x +4 cos(x).

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Q: 2 Find Rez-22] f Im (Z-27) i f Z=a+bi

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Q: Compute the derivatives of the given functions. f(2) = In (7z²). 7a?). f'(x): / (z) = help…

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Q: Let f(x) = cos(x). (a) On [0,2n) solve f(x) = 0. 4.

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Q: Consider the function f(x) = ax + b, where a and b are constants. Which of the following is one of…

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