Compute the first derivative of y = 2x^4 - 6x^3 - 12x - 8 at the point x=0 based on the value at xo = -0.5 using the most error-reducing approximations for forward difference approximation and the central difference approximation. Estimate the true percent relative error E2 for each approximation above.

Q: p(q)=2q^2-4q+5; q=2 find the derivative

A: We know that fx=xn then f'x=nxn-1. We have, pq=2q2-4q+5 Calculating derivative of function pq with…

Q: compute the derivative

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Q: Use 5-point centered difference methods to derive algebraic formulae of the first-order derivative…

A: The numerical approximation methods involve Taylor's series expansion of a function as follows: Let…

Q: Find the 2nd derivative and please explain. given: x^2 +4xy +y^2 = 2

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Q: Find the derivative of F(x) = 6xln(2x^2+1)+4x^2 arctan sqrt x . Write down the steps to your final…

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Q: Use an appropriate local linear approximation to estimate the value (2.03)^3

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Q: Describe a technique for solving a set of data's numerical derivative. Include the nature of hae…

A: There are several techniques that can be used to numerically compute the derivative of a set of…

Q: Find the linearization of the function f(x) = x^(1/5) at a = 32 and use it to approximate…

A: Answer

Q: Find the derivative of P=155e^0.18t

A: p=155e0.18td dt(et)=et

Q: 6) Find The derivative of yo

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Q: Sketch the graph of y=(x^2 +x +3)/x^2, locate all maximum and minimum values, intervals of increase…

A: we need to graph the given function and also need to find out the critical points, etc

Q: Approximate the derivative of the function f(x) = 2x^3 - 5x^2 + 3x - 1 at x = 2 using the forward…

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Q: How would i calculate the instantaneous rate of change given at the given point (3,10.1)?

A: Let's find.

Q: Find the deritative of f(x)= 5/x^4 + -7/x^3 - 3/x^2 Then calculate the slope of tangegent at x=-1

A: We find the deritative of f(x)= 5/x^4 + -7/x^3 - 3/x^2   Then calculate the slope of tangegent at…

Q: 5. y = 5sec(2x4) O a. y' = 40x³sec(2x4) tan(2x*) O b. y' = –40x³ sec(2x+) tan(2x*) O c. y' = 40x³…

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Q: estimate the instantaneous rate of change at the point indicated

A: To find the instantaneous rate of change we will find y'(x) We use the power rule

Q: Approximate the derivative of the function f(x) = x^2 + 3x - 2 at x = 2 using the forward difference…

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Q: What is the numerical approximation of the derivative of the function f(x) = x^3 - 2x + 1 at x = 2…

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Q: Find the rate of change of the given equation y = (2x-1)/(x^2+1) at (1,1).  Select correct answer:…

A: We can find the rate of change of the given equation at the indicated point as below

Q: Use derivative to show that fx)= In(x²1) %3D is one-to-one.

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Q: Find the slope of the tangent line of f (x) = 2x² - 3x + 2 at x = 2 %3D

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