2. Determine the true error and the relative true error of the first derivative of f(x) = 2.5-* %3D a) at x = 3 when the increment h = 0.0005 and b) at x = 4.5 when the increment h = 0.0001

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x - 5 at x = 0 using…

A: Given function is y=x2+4x−5. We have to evaluate the first derivative of y=x2+4x−5 at x=0 using a…

Q: find nth derivative of y=x/(x+1)^4

A: To find the nth derivative of the function y=x(x+1)4=x+1-1(x+1)4=1(x+1)3-1(x+1)4

Q: In(x²) What is the derivative of

A:

Q: 5. By calculating a derivative, determine whether the following statement is true (or false): et et…

A:

Q: When the graph of the derivative is positive then the graph of the antiderivative will be…

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: SW Solve for the first derivative of ,(x+5) x' +e x³ +e + Vx f (x) = V0.1 at x= 0.05 using FCD BCD…

A: f'(0.05)=336.6222-333.90350.008=2.71870.008=339.8375 App value of f'=339.8375 exact value of…

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: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

A: We have to tell If the sign of the first derivative function is positive , the main function f(x) is…

Q: 1 Find the first derivative given that f(x) = xdx +

A:

Q: 12) Find the first derivative of f(x) = 3x %3D

A: Use rules of derivative

Q: 2 The derivative of (g(x))¯ is equal to (g '(x))¯. Select one: True False

A:

Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x

A:

Q: The2nd derivative ofy = 24 is

A: USING LOGARITHMIC DIFFERENTIATION

Q: Use three-point midpoint formula to evaluate the first derivative of y=tan(x) at x = O-2√/2 00…

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

Q: 5) Find the second derivative of f (x) = %3D ex plify your answer as much as possible

A: fx=1-2xexTo find the second derivative

Q: 5 Calculate the second and the third derivative of y = 6x – y": y"

A:

Q: If C(x)=x' + x°, evaluate the fourth derivative at x = 2. %3D

A: To find the fourth derivative of the function: C(x)=x5+x-3 at x=2

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

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

Q: 26 Find the 155th derivative of (1 + x°)" at x = 0.

A: see 2nd step.

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

A:

Q: Compute backward difference approximations for the first derivative of the function, y = log(x? +…

A: Given is the function y=log(x2+1)2   .  It is needed to compute backward difference approximation…

Q: 2. Determine the true error and relative true error when approximating the derivative of f (x) = -x²…

A:

Q: If f(x) = e cosT, the second derivative f"(x) is:

A: The given function is fx=ex cosx. Evaluate the first derivative of the given function as follows.…

Q: 1 Find the function whose derivative is (x+1)-

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y=x2+5x−1y=x2+5x−1 at x=0x=0…

A: Given function is y=x2+5x−1. We have to evaluate the first derivative of y=x2+5x−1 at x=0 using a…

Q: Q:1 Find the second derivative of f(x) = 2x5 - 3VX7 at x = 1 rounded to five decimal places.

A: To find the second derivative of  f(x)=2x⁵-3x7/3 at x=1

Q: 6 Find the 3rd derivative of y = (x-1)2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 1, Find the first and the second derivative of f(x): f(x)=x

A:

Q: What is the first derivative of s(æ) = 4e"*.

A:

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

A:

Q: Find the derivative of y = log2 4x Ox/In4 O 1/xln4 O4/1n4 @ 4/xin4

A: To solve the following problem

Q: find the derivative of y with respect to the givenindependent variable. y = log4 x + log4 x2

A: Given: By using logarithm base change rule, the function can be rewritten as follows,

Q: solve the first and second derivative of Y= (1+lnx)  /  x

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: Find the equation of the line tangent to the graph of y=(x^2−x)ln(7x) at x=2. Round to three…

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

A:

Q: 10 The derivative of f(x)= - is

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Q: 4. Show that the derivative of log,(Va +5) is 3(r + 5) In(2)

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Q: The derivative of y=eSinh/x +cosh¬/x equals

A:

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

A:

Q: 10. Solve for the derivative of y IMPLICITLY 22 + vx³ + 2y= y²

A: Topic =Derivative

Q: 9) Find the value of the derivative at the point x=2 if f (x) = xv2x – 7

A:

Q: If y=x+ 4÷x+1 use the first derivative test to find where relative extrema occur.

A:

Q: Find the first derivative of x² + 3xy + y3 = 10 implicitly.

A: The given function x2+3xy+y3=10

Q: Suppose that the first derivative of y = ƒ(x) is y′ = 6x(x + 1)(x - 2). At what points, if any, does…

A: Here the first derivative of the given function is y’= 6 x (x+1) (x-2). If a function has zero…

Q: Find the second derivative of y=x-1 at x=2

A:

Q: Find the derivative of the function. h(x) = ets. - x + 1

A: Differentiate w.r.t x

Q: 6. Use the difference quotient to estimate the 2 instantaneous rate of change in f(x) = x² at x=3…

A: