Let f(x) = 2x2 – x +1 and let g(x) = x – 4. Which statements are true? %3D

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: Differentiate the function

A: The given function is shown below:

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

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Q: Find all local extreme values of f(x) 12z 50.

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Q: Find the number of units x that produces a maximum revenue R. R = 171x2 – 0.06x3 X = units

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Q: Use the models f(x) = 0.074x + 2.294 and g(x) = 2.577(1.017)x to solve. a. World population in 1970…

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Q: 4. f(x) = 5sinx + 3cosx

A: To find the derivative of f(x)

Q: Differentiate the function. 12. h(x) = In(x + /x² – 1)

A: In this question we have to differentiate the function.

Q: Find f''(x) if f(x) = e^3x^2+1.

A: calculate the second derivative for the given function

Q: • 4x² If F(x) = e(5r²) dt, what is F'(x)? (Do not include "F'(x) =" in your answer.) 3x

A: If you like the solution then please give it a thumbs up.... The Answer is:           ∫3x4x2e5t2dt…

Q: Find (fog)(x) where f(x)= /x-15 g(x) = x² + 2x

A: To find fog(x)

Q: Determine the values of x for which f (x) = 1x − 4 is increasingand for which decreasing

A: fx=1x-4 Differentiating with respect to x, we get f'x=-1x-42    ∵ddx1x=-1x2

Q: For f(x) = 2x² + 5x+", find. 10 S(a +h)- f(a) if h +0. h

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Q: What is f′(x) if f(x)=40x^5/e^x

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Q: Find the extreme values of f(x, y) = x² .

A: Given,                f(x, y)=x2+2y2                           ...(1) Subject to…

Q: 6. If f(x)= V3x + 4 , find (7).

A: Given function is To find inverse function of f , we set y=f(x) and solve for x Therefore,

Q: What is the domain of f (x) = ln(x – 3) + 4?

A: Domain where fx is well defined.

Q: Let h(x)=f(x)+g(x). If f(x)=6x4 and g(x)=9x7, what is h′(x)?

A: Given that       h(x) = f(x)+g(x)  Also given f(x)=6x4  and  g(x)=9x7. Here we have to find h'(x) .

Q: f(x) = 5x

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Q: Complete the table (x) $'(x) f'(x) = 12 e3x f(x)

A: Here, to complete the given table.

Q: If f(x) = In( 1 + e4x), find f '(0). f '(0) =

A: The objective is to find f'(0).

Q: Find f' (x); 1.) f(x) =34x

A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

Q: Which is equal to () (x) given that g(x) = 1 – 3x and h(x) = Vx? %3D Vx – 3xVx 3xVx Option 1 Option…

A: Let's find.

Q: Find f'(x) for f(x) = e2xsec-1(2x)

A:

Q: Find  f (n)(x).   f(x)  = 2x

A: Given that f(x)=2x

Q: s. f(x) = x4. x/15 - 5x02 8 X x4 - 2x

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Q: 4x .x , find f-1 (x). 4. Given f(x)= x+5

A: Given: The function is  f(x) = (4x-3)/(x+5).

Q: cscx 4. f(x) : x2

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Q: Rewrite h(x)=- Vx+3 in terms of f and g. 3.

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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) for ƒ (x) = 8x° – 3e".

A: Given : fx = 8xe - 3ex

Q: f(x) = x3 + 3x

A: if first derivative is positive in the that interval f(x) is decreasing

Q: Find f'(x) for f(x) = e* - 5x.

A: Given : fx =e4x2-5x

Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

Q: Which is equal to (4) (x) given that g(x) =1 – 3x and h(x) = Vx? %3D Vx – 3xVx - 3xVx X. Option 1…

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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 the number of units x that produces a maximum revenue R. R = 66x2 − 0.04x3

A: Explanation and solutions is given below....

Q: Comput: f dx 2+x

A: I am attaching image so that you understand each and every step.

Q: G F

A: We are given the following figure.   We know that…

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

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Q: 4 f(x) = x2 + 16

A:

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: 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 the value of (A+ V)²(x² + x) with h=1.

A: To find the value of Δ+∇2x2+x with h=1.

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

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Q: 10) f(x) = V3x – 1

A: Explanation of the solution is given below..

Q: Evaluate f dx √1-16x²

A: