QUESTION 7 The error bound in the Two-point forward formula, for the approximation of the derivative of f(x) =x'+ 2x+1 at xo 1.5 and h=0.5 is O None of these 0 6 O 4.5 O 3 O 2.25 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answ 26°C Wle uais

Q: QUESTION 4 Find the derivative of the following function by first leveraging the properties of the…

A: The given function is: f(x)=lnxx2-9635x

Q: QUESTION 5 Given thatf(x) = 2 if x changes from 1 to 1.05, estimate the value off(1.05)using 2+ x2 .…

A: Given that: f(x)=22+x2

Q: Question 2 Use the Newton-Raphson method to find a root of the following function. Start from the…

A: Solving by Newton Raphson method for initial root as 7

Q: 1. Find the derivative of each of the following: (a) y=e2* ln´(cos x) Do not simplify your answer.

A: We have to find the derivative of the function…

Q: (Question 12) Find the derivative dy for the function dx function y = arctan(3x – 4). Your answer…

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Q: Question 7 Find the partial derivative of z with respect to x 8: da = -2x (3x²+1) sin(x²) + 6xcos…

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Q: Question 1. Identify the correct description for the formula (()a- (z)a), 4 (1)A from the following…

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Q: Question 8 cosh(12x) is The derivative of y=cosh2(6x) + y'=6 sinh (12r) +6 sinh (6x) cosh (6x) y'=6…

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Q: Question 4 A basketball is thrown for a 3-point shot. The height of the basketball (in meters) is…

A: t  = time in secondsh(t) = height of basketball in meters as a function of timeh(t) =2 +8t-4.9t2a)…

Q: Question 4 Consider the equation ry =1. dy a) Use implicit differentiation on xy = 1 to find dr […

A: We have to find

Q: 1 3.| y = xSin(x) + (1 – ÷x²) Cos(x) (1-**) Cos(x)

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Q: Question No 02: Compute the first-order Derivative for each of the following functions at the…

A: a. 5-point Central difference formula: f'x0=−yi+2+8yi+1−8yi−1+yi− 212h. x -0.5 -0.25 0 0.25 0.50…

Q: QUESTION 3 Given that (x) = 6x5 +15x -20x3-128 find the three critical values in increasing order in…

A: Please see the explanation below.

Q: Question 7 (.. to find the derivative function. You do not need to simplify your answer. :) For each…

A: according to bartleby guideline, I can only first three subparts of the given question...

Q: Question 7 [6;4] (a) Find the derivative of the function y = 2x² + 12 when x = 2.

A: Answer

Q: Question 2 > The function ` f(x) = (5 x-9)e^(-6 x) ` has one critical number. Algebrically use the…

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Q: e2= (x² + 1)² 2/rª – 1 3. Find the derivative of y = ln Make any obvious simplifications. -

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Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cos

A: Topic = Derivative

Q: Question 373 3x4 + 2 e-2z (7x + 2) Find the derivative of the function y using logarithmic…

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Q: Question 2 of 6 Attempt 4 Find the equation of the tangent line to the function f(x) = 4* at x = 2.…

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Q: Question 1. Identify the correct description for the formula Su (s) \approx \dfrac{u(s+h)- 2 u(s) +…

A: Step:-1 Note:- Central finite difference formula for second derivative is f''x≈fx+h-2fx+fx-hh2 with…

Q: Question 10 of 17 > dh\ dt =2 5 The variable h is the height of the ladder's top at time t, and x is…

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Q: cIn(2) Major Topic 1. (a) Compute dx er + 3 (b) Compute dr 1+ 76 (c) Find the equation for the…

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Q: Question 1. Identify the correct description for the formula y'(x) -ky(x - k) + k-?y(x) from the…

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Q: 1.4.1 Find the derivative of the following functions. a) f(8) = log3(cot 0) + esin 0 cos 0 Vtan r b)…

A: (a) Given information: fθ=log3cotθ+esinθcosθ We know that logab=lnblna Therefore we can write,…

Q: Problem 3 Use part I of the Fundamental Theorem of Calculus to find the derivative of…

A: Given:

Q: Find the derivative of the given function. COS ³ (1) g(x) = 2 cos3 O a) g'(x) = -3 cos² (sin() Ob)…

A: Given, g(x)=2 cos3x2

Q: Question 19 1. Find the function whose derivative is e¯(e* + 1)?

A: Let's find.

Q: 1. Find S*-3**+ dx by hand and show how to check the result is correct by differentiation.

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Q: 1. Find each derivative. a) y = sin- X c) f(x) = ln- sin x COS X b) y = cos(x² - 2x-8)

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Q: QUESTION 3 3 Given that f(x) x+1 a) Find f'(x) using the definition of derivative. b) Find the…

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Q: In a 24-hour period, a human's body temperature will vary ab When at rest (usually at night), the…

A: The derivative of a function of a real variable measures the sensitivity to change of the function…

Q: Question No 02: Compute the first-order Derivative for each of the following functions at the…

A: Since you have multiple subparts, we will solve the first three subparts for you. To get remaining…

Q: Question three [10] i. Find the value of the derivative of f(z)=z+2z -i at z=3+2i

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Q: Question 8 Find the derivative of the function at Po in the direction of f(x, y) = 3x 2 + 4y, P o(8,…

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Q: Question 7 Use U substitution to find each anti derivative NEATLY SHOW WORK thank you

A: Evaluate it.

Q: Question 7 (.. to find the derivative function. You do not need to simplify your answer. :) For each…

A: Solve the following

Q: Xi f(x)= yi 0 2 5 1 3 2 4 12 Second derivative approximation formula: f" (zo) = S (70 – h) – 2f (zo)…

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Q: Can you help me step by step?

A: Given function is

Q: QUESTION 6 Find the derivative. 10 y= +6 sec x Oy'= 10 +6 tan?x O y'= - 1 - 6 cscx Cy = +6 sec x tan…

A: We can use the derivatives in order to solve the given problem

Q: Question 5 Use the second derivative test to find the relative maxima and minima of the given…

A: The objective is to use second derivative test to find the relative Maxima and minima of the given…

Q: Question 6 Determine the derivative, y': y = log, (In a?) %3D Oy = z In 5 In a Oy = = z In 5 In z Oy…

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Q: Question 3 (a) Find the first and second derivative of the following function, in which a and b are…

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Q: QUESTION 1 a) The pressure (p) and volume (v) relationship is given as 112 p : 25 Determine the…

A: We will proceed as follows

Q: Question:- 3. 11 13 15 12 37 25 31 42 57 Find First & Second derivative at x=3.

A: To Determine :-  The first and second derivative at x =3 by newton forward method.

Q: 1. Find the derivative of the following: (Simplify your final answers.) r(8) = tanh-(cos 0) +…

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Q: Question 2: dy a) Find for the following exponential function y = dx - 3e2x+1 -eV b) Using…

A: derivative

Q: Question 1. Identify the correct description for the formula f'(t) -hf(t+h) – h-'f(t) from the…

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Q: In finding the root with Newton's Method, an initial guess Xo = 4 with f(Xo)= 1 leads to X1 = 3.…

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Q: Activity 6: Find the first and the second derivative of the following: 1. у 3D е cos x 2. y = sin³…

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