Find the actual error when the first derivative of f (x) = In x at x = 2 is approximated by the following 3-point formula f'«) » f(x +h) + 2f(x) – 3f(x – h) 4h with h = 0.5. O 0.0431 O 0.0343 O 0.2313 O 0.5544

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x = (Use symbolic notation and…

A:

Q: Find the critical numbers of the function and apply the First Derivative Test to identify all…

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x = 5 using a…

A: Given function is y=cosx. We have to find the first derivative of y=cosx at x=π2 using a value of…

Q: 2) Find the derivative of f(x) = tan(1+ cos 3 x) %3D

A: As the function involved function in a function we can apply chain rule and find the derivative of…

Q: Use forward, backward and central difference to estimate the first derivative of f (x) = In at x =…

A: Given function is fx=lnx and x=3 Step size h=0.01 We have to estimate the first derivative of fx=lnx…

Q: 4. Find an equation of the tangent line to the curve, f(x) definition of the derivative. (Don't use…

A: Given problem:- Find an equation of the tangent line to the curve, f(x) = 1/(x2 + 1) by using the…

Q: What is the derivative of x sin(x) at the point (6,5)? 2 O 1 O-1 O None of the above

A:

Q: Compute the derivative of the function y = 7 sin¬'(x) at the point x = (Use symbolic notation and…

A: A detailed solution is given below

Q: Find the approximate error, relative approximate error, and absolute relative approximate error of…

A: The approximate error is calculated using the formula: Ea=Present value-Previous value. The relative…

Q: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 1 using a value…

A: The two-point forward difference formula to calculate f'(x) is f'(x)=f(x+h)-f(x)h, where h is the…

Q: What is the derivative of f(x)=3cos(x)+2sin(x) at the point x=−π

A:

Q: Find the derivative of the function. f(0= cosh? (2t2 + 9) a. st sinh (2t² + 9) b. st cosh (2t² + 9)…

A: Given  ft=cosh22t2+9 The chain rule is used in differentiating the above function F'x=f'gxg'x

Q: Use centered difference approximations to estimate the first and second derivatives of y = ex at x =…

A: The central difference for first and second derivative is calculated respectively,

Q: Find the approximate derivative for f(x) = cos x on the interval [-7, 1] using forward difference…

A:

Q: Compute the high-accuracy central difference approximation for the first derivative of y = cos x at…

A: There are three types of approximations to the derivative of a function f(x) at a point a. They are…

Q: 54th Dorivative: fle)=2-4sin (a2)

A:

Q: Find the derivative of y with respect to x. y= 3x^3 sin^-1 x show all work

A:

Q: 2. Find the derivative of the function dt. 3. Find the general indefinite integral.

A: 2) Given integral is ∫xx2et2dt

Q: Find the derivative of y = 4) G* eln sin-) y = G (In-x) sin + V4 – x2. x sin¬1 In sin + (Tx-1 1 y' =…

A:

Q: 1) Find the derivative of the function 2 + X y = arctan V 2 – x .Simplify where possible.

A: Answer and explanation is given below..

Q: Compute central difference approximations for the first derivative of the function, y = cos(sin(x)+…

A:

Q: Find the derivative of the function tanh-e* A. -1/2 csch x B. 1/2 csch x C. -1/2 csch 2x D. -1/2…

A:

Q: Use forward, backward and central difference approximations to estimate the first derivative of:…

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x =; using a…

A: The three-point midpoint rule to calculate f'(x) is f'(x)≈f(x+h)-f(x-h)2h, where h is the step size.

Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = cos(x) at x =…

A: Given function is y=cosx. We have to evaluate the first derivative of y=cosx at x=π4 using a value…

Q: If f(x) is odd function, then the derivative of y=sinh (f (-x)) equals Select one: o y'=Xf'x) – f x)…

A: Differentiate wrt x

Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: 1. Use forward, backward and central difference to estimate the first and second derivative of f (x)…

A: Given function is fx=coshx and x=2 Step size h=0.01 We have to estimate the first and second…

Q: Compute backward difference approximations for the first derivative of the function, y = cos(sin(x)+…

A:

Q: Apply central divided difference approximation (CDD) to find the first 5 derivative of F(x) = e0.8x…

A: To find the first five derivatives of fx=e0.8x when x=24 using central divided difference…

Q: What is the second derivative of y = 2x -+ sin x with respect to x? a. 2 -+ cos x b. 2 ++ cos x -+…

A:

Q: Find the derivative of the function using implicit differentiation.  1.) x²y + y²x = -2  2.) √(xy)…

A: 1.) x²y + y²x = -2    2.) √(xy) = x²y+1 ntiderivatives for integral notation. (x+7) dx

Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = using a value…

A: Given we have given the function y=cos(x) we have to find the first derivative of y = cos(x) at x =…

Q: 1) Find the derivative. Simplify where possible. y = x tanh-1x + In/1 – x²

A:

Q: e derivative of y with respect to x. y= 2sin^-1(5x^4

A: we have to find the derivative of y with respect to x.y=2sin-1(5x4)

Q: 4. Find the first derivative of the given function using the Rules of Differentiation: sin x 2x-x-1…

A: We have to solve

Q: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 4 using a value…

A: Given function is y=tanx. We have to find the first derivative of y=tanx at x=π4 using a value of…

Q: Determine the second derivative of f (x)=x²e* at x =-2 with a step-size of h=0.50 using Central…

A:

Q: Find the first derivative of * In (sec y + tan y) - x - sinx = 2 O tany (cos.x + 1) O cos y (cos x +…

A:

Q: How do I find the 20th derivative of f(x)=(2cos x)(cos 3x)? I think there must be some trick because…

A: Given:

Q: Solve for the derivative of the Inverse Hyperbolic Differentiation. 1. y = sin h-1 (2x2 - 1) 2. y…

A:

Q: Use Richardson extrapolation to estimate the first derivative of y = cos x at x = π/ 4 using step…

A:

Q: Compute forward difference approximations for the first derivative of the function, y = e*cos(x²),…

A:

Q: Compute central difference approximations for the first derivative of the function, y = cos(sin(x)+…

A: here we will use central difference formula  f'x≈fx+∆x-fx-∆x2×∆x

Q: Find the fourth derivative of f (z) = 57 + In (z) – 109z. Enclose arguments of functions in…

A:

Q: Use forward-difference formula to evaluate the first derivative of y = sin(x) at x = using a value…

A: Given function is y=sinx. We have to evaluate the first derivative of y=sinx at x=π2 using a value…

Q: 1. Find the derivative of g(x): Int dt 1+t Cos

A: This will solve by Leibnitz theorem

Q: Find the critical numbers of the function and apply the First Derivative Test to identify all…

A:

Q: Obtain the first derivative of the function f (x) = sinx/x using Richardson's extrapolation with h =…

A: Given  f(x) = sinxx we have to obtained the first derivative of f(x) by using  Richardson's…

Q: 2- Find the derivative of y with respect to the Exercises 1-3. y = 6sinh ; 1- = - sinh (2x + 1) y =…

A: