The derivative of the function g(x) = In tdt 4z In(2z) 4ze -4z In(2z) -4ze None of above

Q: Can i get help step by step?

A: Rearrange the given ODE to get dy in terms of dx.

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A: The given piecewise function is  f(x)=xif 0≤x≤112x+12if x>1

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Q: 3. Determine the derivative of the function with respect to x. (Arrange your answer from highest…

A: We are given: y=(x2+1)(x3-x2)⇒y=x5-x4+x3-x2 We need to find its derivative. This can be done as…

Q: 3. lim(5 1) x-0 Q2/ Find the derivative of the function f (x) v4 -x by definition !3!

A: When limit is of the form 00or ∞∞ then L Hospital's rule is used . In this rule, take derivative of…

Q: A function f(x) has derivative f'(x)= 3x²+ 18x. The graph of f has an x- intercept at x = -1. Find…

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Q: The derivative of the function y = 2**csc-"(x²) is: %3D y'= 4 (n4)x' csc"(x*) 4 y'= 2 (In2)xsec"…

A: To find the derivative of the given function , we have to use the chain rule(Nested form of…

Q: 11 at x = 10 Find the derivative of f(x) = f' 10 |(Type an integer or a simplified fraction.) %3D

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Q: g(x) = 2x^6-5x^4+3x^3-x^2+8x-9

A: Given: g(x)=2x6-5x4+3x3-x2+8x-9 To find: The nth derivative of the function.

Q: 6. If f(x) = 3x2 . - x find f'(x), then find the equation of tangent line at r = 5.

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Q: 11. Given the function below, what is its derivative? * f(x) = 2x - √x f'(x) = 2x C f'(x) = 2 - a 1…

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Q: The derivative of a function f(x) is given by f'(x) = (x – 2)(x +4) Va2 + 1. a. Find an equation for…

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Q: 4. Find the derivative of the function using the definition of derivative. State the domain of the…

A: f'(x) = limh→0 f(x+h)-f(x)h. The domain of the function is the set of all possible input values for…

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Q1: Find the value of the constant K if the function 4-x is continuous at x=2. f(x) ={3- Vx +5 [K ;x…

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Q: Evaluate the derivative of the function at the given point. 1 t= -3 y = 8t +3' y' = (Type an integer…

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Q: The derivative of the function y = ecos²(x) is: y' = - sin(2x)eCos² (x) y' = sin(2x)eCos²(x) the…

A: We will find the derivatives of the given function y=ecos2x in the following step.

Q: |(x+ 1) |(x – 1) Find the derivative of k(x) = ln A. k'(x) = x2-1 -1 В. К(х) — (x²+1)

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Q: 12. The Definition of the Derivative Find the formula for the instantaneous rate of change of f(x) =…

A: Given:

Q: 6/5 (3 - x). x5/6 The derivative of the function y = In is y' = %3D

A: we have to find derivative

Q: Ах3+ Вх + 2 , x2

A: Solved below

Q: 4.) f (x) 3D х2 – 1

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Q: C. Find the derivative of each function. x' - 2x 3. h(x) = 4. F(x)=sin x- cos x- tan x tan x D.…

A: Follow next step

Q: The first derivative of the function h is given by h' (x) = 15 - 3z² +z. What are all intervals on…

A: solution:-h'(x)=x5-3x2+x2nd derivative…

Q: (x+ Ax)-S(x) Use the definition of the derivative f'(x) = lim Ax0 to find the equation of the line…

A: Use definition of derivative

Q: 2.) f (x) %3D х

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Q: f(x+Ax)-f(x) Use the definition of the derivative f'(x) = lim Ax-0 to find the equation of the line…

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Q: 3) f (x) = 2 x2 + 4000/x +10 a)Find the derivative . b)Find the critical number(s), if any.

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: (a) Find the derivative at x = −1. (b) Find the second derivative at x = −1.   h(x) = 2x4 + 8x3 +…

A: (a) The given function is

Q: f(x) = x2 -1

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Q: Find the derivative of a function at a given point F(x)= 2e^x-x at x=1 F(x)= x^3-5x at x=2

A: We have to find derivatives of the function: Fx=2ex-x at x=1 and Fx=x3-5x at x=2. We know the…

Q: Find the derivative of: y = 4x^2 – 1/x   y’ = 2x – x^(-2) y’ = x^(-1) + 8x y’ = 8x - x^(-2) y’ =…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 6) Find the derivative of y = (3x + 7)2x %3D

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Q: 2. Use the definition of the derivative to find the first and second derivatives of the function. 1…

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Q: (a). Write the distance from point P(, y) on the line y = 2x to the point (3, 3) as a function of c.…

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Q: Q1) Use forward and backward difference approximations of O(h) and a centered difference…

A: Given,                        F(x)=53x3-52x2-5xand          x=2,      h=0.5

Q: Use the graph of f'(x), the derivative of f(x), given to the right to answer the following question.…

A: Given that f(3)=-3 So, let x0=3⇒y0=f(x0)=f(3)=-3 And from the graph f'(3)=2⇒m=f'y0=2

Q: Using the definition of the derivative 1. find S'(2) if f(x)=x 2. find f" if 2x

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

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Q: 2. Given the function f(x) = 2x² + 3x + 1, a. Use the secant method to find the instantaneous rate…

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Q: 2 We want to find the derivative of h(x) x2 4 + 6Vx. The first step is to rewrite each term of the -…

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Q: A function f(x) has derivative f'(x) = 3x²+ 18x. The graph of f has intercept at x = -1. Find f(x).…

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Q: fidn the first derivative of y with respect to x using increment method y=2x^2-5x+7

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Q: 10.(a) Find the derivative of the function f(x) =x² +2 using the definition of derivative. (b) What…

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A: Definition of Derivative:The derivative of a function of a real variable measures the…

Q: 6 on the interval [- 3,3]. x² +6 Find the absolute extrema of the function f(x) = Find the second…

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Q: I. Solve for the derivative of the functions using chain rule. Box your final answer. 3 1. f(x) =…

A: Since you have posted multiple questions i can do first three question as per our company guidelines…