Describe the First Principle method and the Power Rule method for finding the derivative. Which method do you refer and why?

Q: Find the derivative of the economic function. Show full solutions and properly name the derivative…

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Q: On which derivative rule is the Substitution Rule based? Choose the correct answer below. O A. The…

A: Substitution rule:

Q: Find the derivative of the function. 6x3 f(x) = + 8x2 Step 1 The function (x) can be simplified to…

A: The differentiation is given below.

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

Q: HOW DO YOU FIND THE DERIVATIVE

A: To differentiate composite functions (function of a function)

Q: ne hundredth derivative of p (x) (x + x³ + x')1º (1 + x² )11 (x³ + + x Justify ya

A: P(x) = (x+x5+x7 )10(1+x2 )11(x3+x5+x7) Here, (x+x5+x7)10  will have x70 as leading degree. (1+x2)11…

Q: Find the derivative of h(x)=(−2x−5)6 /(2x−3)3   You should leave your answer in factored form. Do…

A: Calculation:The given function is h(x) = (-2x-5)6 / (2x-3)3.Obtain the derivative of the function…

Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: Given

Q: Find the derivative of x^2 =16^x

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Q: How to find the derivative of (5t^2 -7) / (3t +1)^3

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Q: Find the derivative of 3 4x 2 - (²x - ²)² 2x You should leave your answer in factored form. Do not…

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Q: Find the derivative. h(x)=2x^3−5x^2 / x+2 You must show

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Q: can you show me how I would find the domain of the derivative? What’s the difference between the…

A: We need to find Domain of derivative.

Q: %3D (4) Use the definition of the derivative to find the derivative for f(x) = 3+

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Q: Explain your understanding of the connection between the derivative of a constant and the slope of…

A: We need to establish a relationship between the derivative of a constant and the slope of the…

Q: Find the derivative of the function. y = x−9 + x−6 − 2

A: Given : y = x-9+x-6-2

Q: Use the General Power Rule to find the derivative of the function. y = (3x4 + 4)2

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Q: HOW DO YOU FIND THE DERIVATIVE

A: Given an equation of y in terms of x as shown below.Here we need to find the derivative of y with…

Q: What is the derivative of the function y = (3x+1)^5 (x^4 - 10)^6 y’ =

A: y=3x+15x4-106

Q: Use the second derivative to discuss concavity. The second derivative is y’’ ={2x(x2+3)}/ (x2-1)3

A: given,  y''=2xx2+3x2-13 we have to discuss the concavity using second derivative.

Q: Find the derivative of the function.   f(x) = ex2 + 3

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :…

Q: Find the derivative of y = 2^x + 6/x^7

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Q: In the financial world, there are many types of complex instruments called derivatives that derive…

A: Find the probability that the loss is at least $1000 (Price fall is below 90): Denote the change in…

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative.…

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Q: 22. Find the derivative of the function using shortcut rules. Simplify for extra credit. - 6x+7) 5…

A: →Whenever we have algebric function of higher order in numerator and denominator,     then take…

Q: Find the derivative of h(x)=(-2x-5)3 (2x-4)5you should leave your answer in factored form. Do not…

A: Compute the derivative of h ( x ) as follows.

Q: 2. Write an example of a function whose derivative can be found by using the following rules: Power…

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Q: Find the derivative of h(x)=(3x+4)3 / (−3x−2)4 You should leave your answer in factored form. Do not…

A: To find the derivative of the given rational function

Q: How do you find the derivative

A: we have to find derivative of f(x) where f(x) is given by

Q: (1) What is the chain rule for derivatives? You can write the rule in any way that makes sense to…

A: Explanation:                        The Chain Rule is a formula for computing the derivative of the…

Q: Use the definition to calculate the derivative of the following function then find the values of the…

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Q: ind the first derivative of the function: y = 4x - 2x3 + 5 (ii) Differentiate the following…

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Q: Find the derivative of the function. f(x) = ex2 + 5

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Q: Find the slope of the graph of the function at the given point. y = x-1 y 2.0| 1.5 6 7 1.0 0.5 0.5…

A: See the details solution in below

Q: On which derivative rule is the Substitution Rule based? Choose the correct answer below. O A. The…

A: Substitution rule:

Q: Use the Chain Rule to find the derivative of the function. y = (4x2 − 5)3 y' =

A: Solved below

Q: the product rule is not needed to find the derivative of y = 3(x² – 2). the quotient rule is[not…

A: Product rule: If we are given a function of the form: f(x)·g(x), we can find the derivative of this…

Q: 6 3 х+7

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Q: 8. Find the derivative of the function fx) = x? - 10x + 3 using First Principles.

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Q: 4) Determine the derivative. Do not simplify your answer. a) f(x)=2x³-√x+x³ c) ƒ(x)=-4 b)…

A: I am attaching image so that you understand each and every step.

Q: Find the derivative Of the fundtion using the definition of derivative. State the domain of the…

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Q: Find the derivative of the transcendental function. y = 6e^x/(x^2+5)

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Q: differentiate y= (4x + 3)2 using the Chain Rule. a. What is the outer function? b. What is the…

A: Given, y=(4x+3)2 differentiate using the chain rule.     Find:  a. What is the outer function? b.…

Q: Find the derivative of 4x - 2 y = 2x 1 You should leave your answer in factored form. Do not include…

A: Consider  y=4x−22x−13

Q: 4. When finding the derivative of a fraction you have to use the Quotient Rule. 5. The derivative of…

A: 4. when finding the derivative of a fraction you have to use the quotient rule.5. The derivative of…

Q: Find an equation of the line tangent to the graph of f(x) = 5 – 5x at (3, – 40). The equation of the…

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Q: find the derivative of the following using chain rule I need the solution since I got the answer…

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Q: 7. State the formal definition of the derivative of the function f(x). Use the definition to…

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Q: Use first principles definition of the derivative to find f'(x) for the function 3 f(x)= x-2 =

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Q: Example: Use the definition of the derivative to find f'(3), where f (x) = x³ – 2x.

A: We have, f'(3) = 25  The detailed solution is as follows below: