Find the value of a so that the left- and right-hand derivatives of f(x) at x = a are equal given that fx In x – x + c, O x

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: Given: fx=2x−1x2+3x2+1, and gx=x2+872−3x25 To check whether: f'x=4x2x2−1+2xx2+3−2xx2+12x2−1x2+3x2+1,…

Q: ) Covid News Alert: In one state in America, the number of positive cases(y)increases as the days(x)…

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Q: Screen Shot 2021-10-05 at 9.01.21 AM.png y = (3 Vx – x2 + 2)x5 33 x9/2 – 7x6 + 10x* 2 - 33 x7/2 –…

A: See the details solution in below

Q: The function g(x) = 12x2² - sin x is the first derivative of f(x). If f(0) = -2, what is the value…

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Q: I. Find the second derivative 3. y = (x +8) (6x-1)

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Q: What is the derivative of y= 5x² + 10x+5x-3, A None of the given choices (B В 10x + 10 – 15x-4 © 5x…

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Q: Find the DERIVATIVE of the following functions using Rules for Differentiating Algebraic Forms. Show…

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Q: h(x)=25x .52x-1 find the first derivative of the function h

A: The function is given as hx=25x·52x-1 Consider the function y=25x·52x-1 We can write the above…

Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: Find the first derivative: y = In V2r³ – 5 O y =: 22-5 O y = 4z 22-5 O y = 62 22-5 O y =; 2z-5 O y =…

A: Here we have to find the first derivative of         y = ln(2x3-5)1/3

Q: Determine the new value of the function f(x) =x+ Inx if the independent changes from x=2e to x=2.2e

A: Given f(x) = x + ln(x)Value of function at x = 2ef(2e) = 2e + ln(2e) = 2e+1+ln2

Q: Match each function to the rule you would need to use to compute its derivative. Answers may be used…

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Q: From a function f(x) = 5000 x2 - 7000x + 12000   Find the first and second derivatives

A: dxndx = nxn-1 dcfxdx = c df(x)dx ; where 'c' is constant.

Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: Which of the following is the second derivative of f(x) = 2x - 6x2 + 5x - 9? Select one: a. f"(x) =…

A: We are given with the function and we have to find the second derivative for which we have to…

Q: 2. Find the derivative of each function. Simplify if possible. a) f (x) = 5 (vã – 3) (2 – 3x²) 3x-6…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use the product rule to find the derivative. f(x) = (3x - 2)(6x + 1) %3D O f(x) = 36x - 4.5 !3! O…

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Q: (b) g(x):= 1/x for x E R, x#0, (d) k(x):= 1//x for x > 0.

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Q: Please do 9 and 13

A: Use antiderivative formula for finding 9 and 13

Q: 1. Find the derivative of (a + 3x + 8) (3x' - 7x + 2).

A: The given function is x2+3x+83x4-7x+2