3.7 The derivative of f(x) = 1/(1 – 3x²) is given by %3D 6x (1 — Зх?)2 - Do you expect to have difficulties evaluating this function at x = 0.577? Try it using 3- and 4-digit arithmetic with chopping.

Q: The above is the graph of the derivative f '(x). How many critical points does the original function…

A: From the graph of function f'(x), number of roots of f'(x) are three. Let f'(x)=ax3+bx2+cx+d

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

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Q: 1. Determine the first derivative of the functions below with the rules for deriving the function:…

A: A Given function is y=4x3+32. Use formula ddxxn=nxn−1 Differentiate  y=4x3+32 by using the chain…

Q: need fast

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Q: II. Determine the derivative of the ff. logarithmic functions 7. y = 12x² log 8x 8. y = In 25x %3D…

A: Solution is below

Q: The actual error when the first derivative of f(x) = x - 3ln x at x = 3 is approximated by the…

A: Solution:-

Q: 9(X)=e²=0

A:

Q: On the same graph of the function f(x) = e5inx - 0.5, plot the approximate second derivative of f(x)…

A: Given:-               Team A and team B are playing football against each other. x = total  goal…

Q: - Find the derivative o y with respect to n ort. 4 4 16

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Q: If f(x)=Vx³-6x +12, then what is the derivative of fat x-1? Round to the nearest tenth. Selected…

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Q: Q1: Find the derivative of the functions. 5- y = (csche)(1- In csche) 6- y = log3 (1 + 0 In 3) %3D

A: 5. y=cschθ1-ln cschθ6. y=log31+θ ln3

Q: Q3\ Find the derivative of the following f(x) = %3D x-1

A: Derivative.

Q: 4. Find the derivative of the following function 1 y = xtanx + -

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Q: Find the derivative of y with respect to the independent variable. x8)n 5) y =log 5 x-8

A: using the fact of logarithmic  logax=lnxln(a) find the derivative

Q: Q2/ Find the derivative of the function f(x) = V3x +1 by definition %3D

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Q: 2. Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 3°, where t is given in…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 2 3 4 7 F(x) 4 26 58 112 466 22 Find the first derivative of f(x) at x=5 from the above data.

A: Lagrange's interpolation formula for n points can be defined as :…

Q: e. Suppose someone claims that C'(5000) = -0.1. What would the practical mean- ing of this…

A: We have to find the meaning of C'(2000).

Q: 9. Find the derivative of the following functions (show all the steps for full credit): D f(x) = =…

A: Derivative of ex is ex

Q: 2. Find the derivative of the following functions: (a). f(x) = x + 4x-2 + 6e" [1 Mark]

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Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: 2. g'(x) where g(x)=x² +7x-5 %3D

A: In this question we need to find a derivative of the given function.

Q: Q3. Derive the following formula for approximating the derivative f": ƒ™" (x) ≈ (f(x +3h) − 3f (x +…

A: To Derive: f'''(x)≈1h3f(x+3h)-3f(x+2h)+3f(x+h)-f(x). To find: Big-Oh error term from the above…

Q: 5 What is the derivative of5a2 + 10x + ? A None of the given choices B 10x + 10 + 3x2 10a4 + 10a³ –…

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Q: у 3 2Таn(0.5х) — х II

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Q: 2 Compute the derivative f'(x) of the logistic sigmoi 1 f (x) : 1+ exp(-x)

A: We have to find

Q: If you use the two-point central difference formula with h=0.1 to approximate the derivative of…

A: Given: fx=1x , x=2, and h=0.1 To find: Approximate the derivative using the two-point central…

Q: 1. у %3D 4Сot (3 — 2х) |

A: Pls find the solution.

Q: Q2. Derive the following formula for approximating the derivative f": ƒ"(x) ≈ : (-f(x+2h) +16f(r+h)-…

A: To show:- f''x ≈112h2  -fx+2h + 16 f(x+h) -30 f(x) +16 f(x-h) - f(x-2h)

Q: 8) f(x)= T+x²

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Q: 11 8 Find the derivative of the function: y = 3(x – 4)' x-4

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Q: Q1) The dervative of the function f(x)= |x+2 using the definition of derivative is

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Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

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Q: 4 Find the derivative of the function f(x) = %3D x +7 Provide your answer below: f'(x) =

A: Given query is to find the derivative of the function.

Q: Suppose h(x) =log,(3x+1). What is the correct result Зх + %3D of the derivative of h with respect to…

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Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: 5) Use the tangent line at x = 9 to approximate the value of the function f(x)= Vx at x= 8.8.

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Q: Find the derivative. y= e at O 4(1/4)x -4(5/4)x In 4 4(3/4)x In 4 4(5/4)x 25 n4 16

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Q: 2=1.4. (d) Use the second derivative mid-point formula to find the most accurate value for at

A: We will use basic knowledge of numerical analysis to answer this question.  NOTE THAT IN YOUR…

Q: Derive the following formula for approximating the derivative f": 1 f"(x) ≈ (-f(x+2h) + 16f (x + h)…

A: Given: The formula is f'(x)≈112h -f(x+2h)+8f(x+h)-8f(x-h)+f(x-2h). To prove: The given formula. To…

Q: 10 The derivative of the function f(x) = x7 + - 10 726 + (r³) 10 71° + (2) 1 10 7x + 10 10 726 (z²)…

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Q: Compute the derivative of the function f(x) = S7+3x²' at the point 4, using the definition. Ex. 2.…

A: Derivative.

Q: Monday, 1) Find the derivative of the given function with respects to e y = 3lan® In 3

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Q: 2. Determine the true error and the relative true error of the first derivative of f(x) = 2.5-* %3D…

A: Solution is below

Q: Find the derivative of the following: 8 f(x) = 3 (log5 ( – 2/x7 + x))* - e(v3³n²)

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Q: The actual error when the first derivative of f(x) = x-2lnx at x = 2 is approximated by the…

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Q: Find the derivative ofe 11. D[(4x – 5)']

A: Given query is to find the derivative of thw expression.

Q: 10.The graph of f'(x), the derivative of f, is given below for -6 Sxs7.On what intervals is the…

A: Option (c) is correct Because f'(x) is greater or equal to zero in that interval. Or we can say…