Apply Richardson’s Extrapolation on the centered-difference formula: f'(x0)=2h[f(x0+h)−f(x0−h)]− h^2/6 f "' (x0)−h^4/ 120 f""' (x0)−··· to determine N3(h), an approximation to f′(x0), for the following function and stepsize.d. f(x)=x3cosx,x0 =2.3,h=0.4

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

Q: dy dx (b) y = (x³ - 2x + 8) (x² + 4) 1. Use the Differentiation Rules to find (a) y = 6x³ + 3x√x -…

A: Since you have posted a multiple question according to guildlines I will solve first(Q1)   question…

Q: 9. f(x)=T √√5x²

A:

Q: Halla la derivada de la función g(x): 8 ( x ) = sin -5 √/2 - 1 dr

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Q: 8 Find the derivative of: 2/x + x3 Type your answer without fractional or negative exponents. Use…

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Q: c) f(x) = V3sinx d) f(x) = x³tan(5x)

A:

Q: 1. y = In (x + 5)^(2-x)³ (x + 8) ¹0/6x + 4

A: Solution:-

Q: 3x²+1 e) у %3D cos?(3x?) f) y = x-2

A: We need to evaluate the derivative of the following function e y = cos23x2f y = 3x2+1x-1

Q: Let f be the function given by f (x) = 3*. For what value of x is the slope of the tangent line to…

A: Given, fx = 3x  We have to find the value of x at which the slope of the tangent line to the curve…

Q: a) Find the derivative of the function using limits: f (x) = 2x+1 b) Find an equation of the tangent…

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Q: 1 Differentiate f(x) = log, x from the first principle. Note: f'(x) = x In a

A: q- differentiate the function fx=logax from the first principle it is known that, according to first…

Q: If f(t) = (12 + 7t + 5)(5t² + 4),

A: To  a.find f'(t) b. find f'(3)

Q: Use the fact that the derivative of the function g(x)=√x is g"(x)=1/2√x to find the equation of the…

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Q: f(x) = 4√x + 2x1/2 – 8x-7/8 + x2 1 23 +2

A: The given function is fx=4x+2x12-8x-78+x2-1x3+2. Find the derivative of the given function. Here we…

Q: What is the derivative of the ((sqrt of s) -1)/((sqrt of s) +1)

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Q: f(x)=- is stretched toward the y-axis by a factor of , translated to the left 2 unit, then reflected…

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Q: An approximation of f'(2.5) is: -0.52083 -0.09895 -0.14825 -0.14583

A: We will apply the continuity of f(x) at point x=2 to find the unknown value of a  Next we will take…

Q: b) f(x)= x² tan(√4x+7)

A: Here we have to find derivative