The values of a, b, c so that the truncation error in the formula [ f(x) dx = ahf (-h) -h +bhf (0) + ahf (h) +ch² f'(-h)-ch² f'(h) is minimum, are

Q: Find the difference quotient en-7 for each of the given functions. B. f(x) = 3x + 2 Find the slope…

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Q: The derivative of f(x) = 3 (22 + 4x) is - O 3x + 12 O -3x-2(2x + 4) 3x-2(2x + 4) O 3 -3x-3 (2x + 4)

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Q: Let f and g be functions of x, where a is an unknown constant. What is a valid expression for (-)'…

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Q: 16. The derivative of the function f(x)= x - X +2 is X - 1 (x* - 2) V a) b) (x? -2) Vx x? - 2 d) X +…

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Q: The point (-2,1) is in the domain of the function given by f(x,y) = sqrt(x+2y) + ln(x+3y) True or…

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Q: What is the slope of the tangent line to the function: f (x) = In (2 x² + 2 x – 11) at the point…

A: To find the slope and equation of the tangent line to the function fx=ln2x2+2x-11 at point P(2,0).

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: The graph of  f pases through the point (1,-8) and the slope of its tangent line at  (x, f(x)) is…

A: It is given that graph of f passes through 1 , -8 and slope of the tangent at x, fx = 2x+1i.e    f'x…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

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Q: 1. Find the first line ONLY of the derivative showing the product rule. a) y = (- 2x¹ + 2x³ - 8)…

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Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

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Q: Let f be the function given by f(x)=√x² - 9x² Find f'(x).

A: Formula Given function

Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: Use the graph of f(x) to find the interval where f''(x) > 0. Ⓡ 3- 2- 1- ms -5 -4 -3 -2 -1 1 3 4 5 A.…

A: Here we have given the curve of f(x)  Now to determine all x value where  f"(x) > 0

Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: Find a,b to continue the function at x=3 if: x > 3) x = 3 x < f(x) = ax + b 2ab + 1 bx - a +3 3)

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Q: Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A.…

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Q: Let y = xbex (where b is a real number). Determine y'.   Let y = (3x + 6)/(6x + 12). Determine y'.

A: given y=xbex to find the derivative y' use the product rule uv'=uv'+vu' therefore,…

Q: The derivative of is f (x) = 3x* + 7x² + 5x + 2 %3D

A: Given, f(x) = 3x4 +7x2 +5x +2