Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. Worth 2 questions. 8 8) f(x) = X + 2

Q: Find the derivative of the function. y = x²V 36 – x² y' =

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Q: Question Select your answer. Find the derivative of f(x) = 5/x with respect to r. 2x 5 Answer

A: Given :f(x)=5xf(x)=x2+5x

Q: Find the derivative of the function. Vs-3 f(s) = Vs +7 Choose the correct answer below. O A. V5…

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Q: Can you help me step by step?

A: The given function:

Q: Find the derivative of f(x) = 8 Vx3 + 5x + 4.

A: Our Aim is to find the derivative of fx=8x3+5x+4

Q: erentiate the following function. You do not need to simplify the derivative. - 12x e f(x) x3

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Q: 1. Ella thinks that if a function is positive over an interval, then its derivative is also…

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Q: 58. True or False The derivative of y = e²* is 2 (In 2) e²". Justify your answer.

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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: Complete detailed solution. What is the derivative of 6 f(x)=(√2-1)(3√x+1)

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Q: Use the product rule to find the derivative of (7x- 7x) (7e-9) Use e^x e. You do not need to expand…

A: We have to find the derivative.

Q: hich of the following notions is closely related to the derivative of a function? a. slope b. zero…

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Q: Find the slope of the tangent line to the graph of f(x) = 5x at the point (4,80). Find the…

A: a)Given, f(x)=5x2 at the point (4,80) find the slope of the tangent line to the graph f(x)=5x2 at…

Q: [2 Marks] B2(a): Find the derivative of the function y 2 +2 and simplify the answer: 12 Marks 1 B2…

A: The given question has been solved in detail

Q: Find the derivative, but do not simplify your answer y = (5x6 − 3x4 + 2x2 − 1)(4x9 + 3x7 − 5x2 + 3x)

A: Here given as y=5x6-3x4+2x2-14x9+3x7-5x2+3x

Q: Complete detailed solution. What is the derivative of 3 f(x)=4x² + -5 √√x

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Q: Q/ Find the derivative of R(z) 6 - Vz3 8z4 1 Add file

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Q: lo ça) = (X?+2x*+)(xZ5x_4) lo メーメ-1)XTー3す f. fad= x

A: As per guidelines we are supposed to answer only first three part. If you want the solution of any…

Q: The graph of function f(x) is shown below. At which value of z is the derivative of the function…

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Q: b) Find the derivative by multiplying the expressions first. y = (5/x +6) x? a) Use the Product Rule…

A: Option b is correct. Explanation is given below...

Q: Complete detailed solution. What is the derivative of f(x)= 1 (2²-²-x) (-1+√x²) X x+1

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Q: What’s the derivative ? f(x) = xe^-x3

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Q: 2. Multiple choice. Choose the correct answer. When we take the derivative of y = 2g(x)2 we get a.…

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Q: Find the Derivative of the given function. Use the quotient rule to differentiate the following…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: We will use the limit definition of the derivative for finding the derivative of the given function…

Q: Where would derivative f'(x) equal zero? d. Would the derivative be positive, negative, zero, or…

A: Ans c. Slope at cusp and corner is not defined. Slope at curved point (between x=0 and x=1) = 0…

Q: R(w) = w? 8w + 20

A: Derivatives are one of  the fundamental tools of the calculus. In mathematics, derivatives are the…

Q: 2. Find the derivative of the functions, a. y = 5x+9.r + 12.r2-7r

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Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by ? =…

A: (a) Given that : Distance covered by the aircraft is , x=5t29. Therefore, by taking the derivative,…

Q: %3D The function f is defined by the cquation above for all positive real numbers x. What is the…

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Q: The derivative of y=(3x² – 2)*(2x+ 1)³ can be written as y =6(2x+ 1)"(3x² – 2)"(g(x)) for some n,m E…

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Q: Aх3+ Bх + 2 , x2

A: Here is the solution of the given function:

Q: Find the derivative of f (x) = 4(8x + 3)5.

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Q: 2.2 Determine which function is the derivative of the other. Explain your answer. y = f(x) y = g(x)

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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: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: 13. Find the derivative of f(x)=x6 at x=1/2. f′ 1/2=nothing ​(Simplify your​ answer.)

A: Explanation of the answer is as follows

Q: Ах° + Bх + 2 , x32 Find the values of A & B given that the derivative of ƒ (x) =• is everywhere…

A: Givenf(x)=Ax3+Bx+2  , x≤2Bx2-A  , x>2And here derivative of f(x) is continuous everywhere.

Q: the derivative. 28) y = x5/6 A) 5x7/6 B)x1/5 a C)/x-5/6 D) Ex-1/6

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the values of x where the tangent line is horizontal for f(x) =(x^2 + 5)^2

A: Given function f(x) =(x2+5)2

Q: Find the derivative of f(x) = x'e%.5. f'(x) = %3D Question Help: Message instructor Add Work

A: Let's find.

Q: A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this…

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Q: Which among the choices has the derivative equal to (z+8)? 22 O y = -16 I+8 O y = I-14 I+8

A: To find the correct choice, we take the options one by one and verify. Let y=x-16x+8. Now,…

Q: Use the function below to answer parts (a)-(c). f(x) = x? +6 (a) Use the formal definition to find…

A: The given function is, f(x)=x2+6. a) Find the derivative of y=f(x) at x=2 as follows. By definition…

Q: s measured by the derivative o

A: Which of the following values is measured by the derivative of a function? a. how steep its graph is…

Q: Using the definition of a derivative, find f' (z) given f(x) = -r +4x +4x +2. (Do not include"f' (x)…

A: Given, fx = -x3+4x2+4x+2  We have to find the value of f'x

Q: ek is the derivative of what function? 4(1+ok)

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Q: 57. True or False The derivative of y = 2' is 2". Justify your answer.

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: