Question 3 Let h(x) f(x)g(a). If f(x) -3a2 -4x 2 and g(x) = -x +3x +2 , what is h'(-1)? Do not include "h'(--1) =" in your answer. For example, if you found h'(-1) = 20, you would enter 20. Provide your answer below: FEED Content attribution

Q: Please provide me with the solution to this problem. Please show the work and try to dumb it down so…

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Q: 2. Find the root of the function using Fixed-point Iteration. f (x) = x cos (x) - x?

A: Consider the given function as, fx=xcosx-x2

Q: Question 7 Use the chain rule to find the derivative of f(x) = 6V6x° + 7x Type your answer without…

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Q: 1 Find the derivative of f(x) = - at x= 3 %3D (Type an integer or a simplified fractic 21 %3D

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Q: An object hangs from a string in a stable position and is represented by the function y = 4 sin (3x)…

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Q: I. For y 'logarithmic differentiation'. e3" In a find an expression for dy as a function of x using…

A: This question is related to differentiation, we will solve it using given information.

Q: f(x) = (6x² - 2x+1)^

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Q: We cannot find the derivative of composed functions. We can however, using some algebra, find the…

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Q: 43. Find the function whose tangent line has slope (x + 1)e¯* for each value of x and whose graph X-…

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Q: What is the first derivative of s(x)=(6x)^3x at x=3? Enter an exact answer in terms of a natural…

A: We will take the logarithm with base e and then find the derivative with respect to x and then…

Q: 1. If the first derivative is zero and the second derivative is positive, what can be concluded in…

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Q: 1. f(x)= Vx3 + 2x² + 3 2. f(x) = (6x – 7)(2x + 3)

A: To find the second derivatives of the given functions.

Q: Example 0-12: What is the derivative of f(x) = 4x(x² + 1)3?

A: given

Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: On solving this we will get

Q: On what instance does the Chain Rule of differentiation applicable? Explain briefly

A: To explain when we should use chain rule.

Q: Example 2: Find the equation of the tangent line to f (x) = when x = 1. V3x2+1

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Q: data point at x1= 1, x2=4, x3=6 and x4=5 were used to estimate ln 2 with a third-order newtons…

A: To obtain the required polynomial equation, use the following Newton's divided difference…

Q: tan s) Differentiate f(x) = 5* log3 %3D csc 2x

A: Consider the function fx=5xlog3tan-1xcsc2x Here, the objective is to differentiate the function.

Q: What is the first derivative of q(x)=(3x)7x at x=2?  Enter an exact answer in terms of a natural…

A: When there is variables in exponent we should take log both side then differentiate. Here we use…

Q: e3x _e-3x Y = e3x +e-3x]

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Q: tion of the differe = e-x + x2 is

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Q: Example 2: by using the definition of the derivative, find dy/dx of the function y = 5x + 8x - 3x +4

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Q: Example 4:- By using the four steps rule, find the derivative of the function f(x) = Vx + 2

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Q: First of all, what is the difference between implicit and explicit? How does it apply to our…

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Q: Question 1 Find the derivative of g(x) = 3 cos™' (x) at the point x = 4 %3D %3D (Enter an exact…

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Q: 5. х: t2-1 :-1

A: second differentiation of parametric equation is

Q: (f°9)(x) if f(x)=2x3 +1 and g(x)=6x +5

A: We have to find the composition of the function then have to find the second order derivative.

Q: Example 2.30. Find the positive root of x- - x = 10 correct to three decimal places, using…

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Q: How can I find the gini index of y = x^1.1?

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Q: Example 2: by using the definition of the derivative, find dy/dx of the function y 5x' + 8x - 3x +4

A: We can use definition of limit In order to solve the given problem.

Q: 3. Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV. Give…

A: We know that graph of derivative is the slope of tangent of the function.

Q: Find the absolute maximum and minimum values of ƒ(x) =10x (2 - ln x) on the interval [1, e2 ]

A: The given function is  ,fx=10x2-lnx on interval 1 , e2. To find the absolute maximum and minimum…

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A: It is given that the slope of the tangent is equal to dydx. This question can be solved using the…

Q: Choose the correct value of derivative. d dx x+1 X () is equal to (Hint: Look at the note of section…

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Q: Find the first derivative formula for the function g, by using the definition found in section 2.2.…

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Q: The graph of a particular function passes through the point (3,4). Its first derivative is 2yy' + 2x…

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Q: Find the derivative of ƒ (x) = cos-1(In(4x²+1)).

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Q: -f(x)=√√5x² +2

A: Please see the answer below.

Q: Explain how to find a differential of a function.

A: Let us consider a function f(x) and its differential to be f'(x)

Q: What is something interesting about integrationa and derivatives? Why is it interesting?

A: Given What is something interesting about integration and derivatives? Why is it interesting?

Q: e 4X -e-4x 4. У3 e4X+e-4x

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Q: QUESTION 1 Is The Function x+2x-4 Increasing or Decreasing at the Point (-1, -7)? Explain Why? O a.…

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Q: 4. Find the maxima/minima of f(x) = x³ – x using both 1st and 2nd derivative test.

A: Consider the function: fx=13x3-x. Find maxima, minima.   Find f'x by applying axn'=anxn-1.…

Q: data point at x1= 1, x2=4, x3=6 and x4=5 were used to estimate ln 2 with a third-order newtons…

A: As we can see given points are not equidistant so for finding ln 2 we will use Newton's divided…

Q: All QUESTION 1 Find the derivative of f(x) = 6x Do not include "f'(x) =" in your answer. For…

A: Identity to be used - ddxxn = nxn-1

Q: Find the critical points and extreme values of the function below. Extreme values must by verified…

A: Given,         y=x3-12x+2

Q: Question 7- Find the derivative. g(x) = /9 - 6x +x²

A: According to the guidelines in case of multiple questions we are only allowed to do first question,…

Q: Solve for the derivative of the function using chain rule. 6. f(x)= cot(6x3+5)

A: Derivative

Q: 1. State the power rule. 2. For which values of n have we proved the power rule? 3. Based on your…

A: 1. The power rule of derivatives gives the following: For any real number n,      ddxxn=nxn-1

Q: A function at x=2.1 , 2.2 , 2.3 has values 22, 18 , 16 respectively . the most accurate first…

A: the values f(2.1)=22,f(2.2)=18 and f(2.3)=16 the derivative…