c. f(x) = 3tan2x– 2sinx at x =1.3 using h = 0.01 %3D

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

A: To find the nth derivative of function y.

Q: Find the derivative of the function. y = In(t2) – arctan 3 y' =

A: It is derivative.

Q: Find the derivative of ywith respect to x in the following functions: 18x y (ans.: (3x-2 a) y= and…

A: Derivative of uv uv' = u'v-v'uv2

Q: Find the derivative of the following functions by applying “Delta Method". Show your complete…

A:

Q: Find the derivative of h(t) = 15€ + - VE + 6 %3D

A:

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

A: We will do all three parts.

Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

A:

Q: Find the derivative with rea If f00=(13x-26X +26)e nederivative with respeet X 1 =C13x-26X+26)e

A:

Q: Find the derivative of y with respect to x of y = xlnx – x.

A: Using rules of differentiation.

Q: Q2. Find the slope of the tangent line to the function f(x)= at x 4 by using the 2Vx definition of…

A: Given that,

Q: X+3

A:

Q: Find the second order derivative of ycos³(2x).

A:

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: Defermine the derivative of the following functions using the long method (using limits). 1. y =t –…

A:

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

A:

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: Find the nth-order derivative of the function y=x2cosx.

A:

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: find the derivative of y with respect to the appropriatevariable. y = sinh-1 √x

A: Find the derivative of y with respect to the appropriate variable.

Q: Find the derivative of the following function with respect to x x = sinh2y

A:

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

A: SOLUTION:-

Q: find the derivative of y with respect to the appropriatevariable. y = cos-1 (1/x)

A: To find dydx, rewrite the equation and then differentiate with respect to x.…

Q: find the derivative of y with respect to the givenindependent variable. y = 2(s2)

A:

Q: Find the derivative of the function.

A: Some important derivative formulas: 1. d(lnx)/dx = 1/x 2. d(√x)/dx = 1/(2√x) 3. d[N/D]/dx = [D*(N)'…

Q: b. f(x) = e* sin0.5x/(1+ x) at x = 0.75 using h = 0.1 & 0.05 %3D

A:

Q: f(x) = @tann + In (sec x) - ex at x = T

A: We know that general formula of derivatives is -  d(lnx)/dx = 1/x ; d(tanx)/dx= sec2x d(secx)/dx =…

Q: Estimate the derivative of the following using simple and high- accuracy backward, forward and…

A:

Q: Evaluate the derivative of mq4.4.png cosh (bVx3 f(x) = a ln sinh(cx2) if a = 69, b = 0.6, and c = 6…

A: Given function: fx=alncoshbx3sinhcx2 To find: The derivative of the function f'(7) using…

Q: Estimate the derivative of the following using simple and high- accuracy backward, forward and…

A: Please check step 2 for the solution.!

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

A:

Q: find the derivative of y with respect to the givenindependent variable. y = 3log2 t

A:

Q: Find the derivative of the following using the three-step rule Зх — 1 1. y= 2х+5 2. y=Va? +x?

A:

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3 2x +5 2. y=Va² +x?

A: Using three step rule.

Q: find the derivative of y with respect to the givenindependent variable.

A:

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 derivative of the following using the three-step rule Зх-1 1. у3D 2x+5 2. y=Va² +x²

A:

Q: Find the derivative of the following: 1. y=x(VT- x³)

A:

Q: Compute central difference approximations for the first derivative of the function, y =[ elnx)2 , at…

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Q: Find the nth order derivative of the power function y=xm where m is a real number.

A:

Q: Estimate the derivative if the following using simple and high-accuracy backward, forward and center…

A: We have to find the numerical derivative using Newton's backward, forward & center/divide…

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…

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A:

Q: Find the derivative of the following function. ° 4x y = In x y' =O %3D

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Q: acos(b/x f(x) 2 (x^q)s

A:

Q: Calculate the derivative of the following function. 3. 9X y3D 4x+1 dy dx

A:

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

A:

Q: Q2 find the derivative of the following: 1) y = 2stn (5x) 2) y = Inxn cosh 5x ,3) xsin14y = y tan-4x

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: Use the forward-difference formula to approximate the derivative of f(x) = In(x) at ro 1.8 using…

A:

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: Find the derivative of the following functions by applying "Delta Metho Show your complete solution.…

A: