c. Find all x for which f(x)=-1.

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: f(x) = for x < for X D

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Q: Find the function f (x) for which f (x) = e-5x, f (0) = 1.

A: A function is a relation which maps each value in its domain to exactly one value in its range. For…

Q: Evaluate f''(c) at the point. f(x) = (x2 - 4)(x3- 2), c = 1

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Q: Let f(x)= Vx+3 and g (x) =- x+3 Determine 3.

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Q: dx -= In(F (x))+C. What is F (/3) if C=0? For (x+x³) (xtan-'(x) + 1)

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Q: For what value(s) of x is f(x) = 4?

A: The first thing we must do for this case is observed the y coordinates for a given value of x…

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: A function f(x) = v1 – x² is

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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 a function f(2) such that f (x) = e + 7x and f(0) = - 1 f(x) =

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Q: (c) Show that f(x)>0 for all values of x, x # -2.

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Q: Find the interval on which f(x)%= -X xe is increasing. a. (-00,1] b. (-0,2] c.(-0,3] d. [1.2]

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Q: Find the value of a, b, c and d if f(x) is differentiable (asinx – bcosx + x f(x) = x2 + 3 4 > x > 0…

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

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Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

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Q: For what value(s) of x is f(x) = 3?

A: given :  f ( x ) = 3  find value(s) of x = ?

Q: Given f(x)-등흐, find rlo). f(x) = 2x-3 B f(x) = 2x+3 f(x) = 3x +2 D f(x) = 3x - 2

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Q: 2 For the function f(x) = -x', find f'"(x), f'"(0), f'"(1), and f"(- 1).

A: To find the double derivative for the given function.

Q: Find a function f(x) such that f'(x) = 4e" – 3x and f(0) = 4 f(x) =

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Q: Over the interval (0,2), the function f(x) = (-x²) e*

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Q: 10. For f(x) = -x² +5, find f(a+h)– f(a) if h+0.

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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)=x4 and g(x)=6x3, what is h′(−3)?

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Q: Find functions h and g such that (h o g)(x) = (x³3 + 2x – 1). -

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Q: Find f such that t'(x) = x - 2 and f(0) = 6. f(x) = O

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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: At which integer value of x are the functions y + 12 and y = A closest to being equal?

A: solve the above question by two type: 1) Graphically:

Q: Find (go (x), given that g(x) - e nnd f(x) -

A: Given that:gx=ex and fx=x3To find: g∘fx

Q: let f(X)=5x +(-3) find the largest & sothat [fx)-F(a]]<E when(x-a/<8

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Q: find a formula for f^(n) if f(x)=x^2e^x

A: We find derivatives of f(x) using product rule.

Q: Compute f '(a) algebraically for the given value of a. f(x) = x2 - 5; a = 7 f '(a) =

A: Given : fx = x2-5

Q: consider the function f(x)=e^6x g(x), where g(0)=-3, and g'(0)=-2 find f'(0)=

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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: 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: (a) g(x) = x + 1 x-1 (using the definition)

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

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: Given that f(x) = h(x) x5 f'(-1). Show your work. -, h(-1) = 4, and h' (-1) = 7 find

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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: 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: Let h(x)=f(x)g(x). If f(x)=2x2+1,g(1)=0, and g′(1)=−1, what is h′(1)?

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Q: Let f(x):4x1 and gx):3x+x find the Value of X for Which (fog) (x)=(30f)x

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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: For what value of x does  function g(x)= (-1/3)x^2+2x^2 convex?

A: please see the next step for solution

Q: Find f(0) iff (x) et?

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Q: 10. For f(x) = -x² +5, find f(a+h)– f(a) if h +0. h

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Q: f(x) = v x² + 5x - X

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Q: 2 Determine f(x), given f'(x) = x´ – 3x + 1, and f(0) = 2.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: -3x Find f (x) given that f'(x)=x' +2-e* at (0,-1).

A: