2. Approximate the derivative of f(x) forward, backward, and central difference method and step size is 0.1. 4e3.5x at x = 3 using the

Q: Find the nth derivative of the function y=xex at x=0.

A: To find the nth derivative of function y.

Q: Q2 find the derivative of the following: 1) y = 2stn²(5x) ,2) y = Inx'n cosh 5x ,3) xsin¬14y = y…

A:

Q: Find the derivative of y 16 In (In(6x)). (Use symbolic notation and fractions where needed.) dy dx…

A:

Q: Use backward, forward, and centered difference approximation to estimate the second derivative of…

A: We will do all three parts.

Q: OFind the second derivative of y = 4Vx + E + 10

A:

Q: 1. Use forward and centered difference approximation method to estimate the derivative of the…

A: Given that, the function is fx=x3-2x+4 and x=1.75, the step size is h=0.25. "Note that,  The forward…

Q: Compute backward difference approximations for the first derivative of the function, y =[ e'nxP, at…

A: We have to compute backward difference approximations for the first derivative of the function,…

Q: 1. Compute forward approximations of O(h) and O(h² for the first derivative of y = e* evaluated at x…

A: 1st we will derive formula for O(h) and O(h2) and then find corresponding values

Q: The nth derivative of y = Inx is given by %3D

A:

Q: 2.) Investigate the derivate of the function ƒ(2)=Imz by using definiton of derivative.

A:

Q: Find the derivative of the function y = coth−1 (e2x)

A:

Q: The derivative of y= sech-(Inx)+e sinh- (3x) equals Select one: +3esinh (3x) cosh(3x) y' = xlnxv…

A: The derivative of y=sech-1(lnx)+esinh-1(3x) is to be calculated by chain rule. The derivative of…

Q: Determine the derivative of the following functions. 1. y = tanh (8x – 3) 2. y = 2x sinh(6x – 5)

A: Here we will use standard formulas for derivative of inverse hyperbolic functions, product rule of…

Q: In (In e*1): What is the derivative of y 3z²+1

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: 10) Find the second derivative of k(z) = 4 cscz.

A: Given: kz=4cosecz for finding second derivative of given function, we find first derivative then…

Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

Q: Find the derivative of the function by the limit process. h(s) = −2 (square root of x)

A:

Q: Approximate the derivative of y=x at x=1 by forming small changes.

A: SOLUTION:-

Q: 1. f(x) =In (ta n"x)

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

Q: Compute the second derivative with respect to x of 3x3 + 8 y = at x = 1.

A:

Q: 15 - What is the approximate derivative of f(x) = 5x° + 4x? if we use forward difference method,…

A: Derivative of function at any point gives the slope of tangent to the function at that point.…

Q: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

A:

Q: 6. Find the first order derivative with respect to z of the function u = In/x2 + y2 +z²

A:

Q: (e) Use a backward finite difference approximation to approximate the first derivative of the…

A:

Q: Q2 find the derivative of the following: 1) y = 2stn (5x) ,2) y = In xn cosh 5x ,3) xsin-14y = y…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: In (6x) Find the derivative of y with respect to x if y = sin (3e) dt.

A: the given function is: y=∫0ln(6x)sin3et dt we have to find the derivative of y with respect to x.…

Q: Find the (a) approximate error and (b) relative approximate error of the following: The derivative…

A: Note:- For this problem, you don't mention any particular method and anything about h. So, I'll try…

Q: Compute the first-order Derivative for each of the following functions at the specified location and…

A: Since you have asked multiple questions, we  will solve the first question for you. If you want any…

Q: * find the dicredional derivative af the. f omc tion and in the direction of a= [o,3, 37 + find the…

A:

Q: 1. Solve the first derivative of f(x) = e-2x In x at x = 0.5 using forward finite-divided difference…

A: To find the first derivative of the function f(x) = e-2xlnx at x = 0.5 using forward finite-divided…

Q: 3. Use the forward-difference formula to approximate the derivative of f (x)=sin(In x) at x, = 2.5…

A: The derivative of the function can be calculated using the difference method. The formula for the…

Q: The derivative of y= sech1(Inx)+esinh(3x) equals Select one: 1 3e sinh"(3x) O y' = - xInx/1-Inx…

A: Proceed as shown below...

Q: 1. Use forward and centered difference approximation method to estimate the derivative of the…

A: Given the function is fx=x3-2x+4. The forward and centered difference approximations to estimate the…

Q: Use backward, forward, and centered difference approximation to estimate the second derivative of…

A:

Q: find the derivative of y with respect to the givenindependent variable. y = log2 5θ

A:

Q: 2. Find from first principle the derivative with respect to x of the function f(x)= Inx.

A:

Q: 1 erivative of x²+2

A:

Q: What is the first derivative of s(x)=(7x)3x at x=4? Select the correct answer below:…

A: As s(x)=(7x)3x The function can be rewritten as:s(x)=x3x. 73xIts first derivative is given by the…

Q: Find the nth derivative of the function y=xlnx at x=1.

A:

Q: (e) Use a backward finite difference approximation to approximate the first derivative of the…

A:

Q: Find the derivative of y with respect to t. y = 5sin (4t)

A:

Q: Q3: find the derivative of the following: 1. y = Inx + √√1-x² sech-1x

A: I have given the answer in the next step. Hope you understand that

Q: Find the derivative of f (x) =arcoth (e³" ).

A:

Q: Consider the function f(x) = x³ Q 2: Calculate its first derivative at point x = 3 numerically with…

A: We have given , f(x) = x3

Q: Approximate the derivative of y=x² at x=1 by forming small changes

A: We have to find the derivative of the function y=x2 at x = 1 by forming the small changes.

Q: Use backward, forward , and centered difference approximation to estimate the second derivative of…

A: The formulas for the backward, forward, and central differences to approximate the second derivative…

Q: The equation of the tangent line for the graph of Fx)= | Ln(P+4)dt at x=2 is F(x)=

A:

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

A: