Find the derivative of the function by the limit process. F(x)= 7/x2    To solve we use the following formula. F(x+Delta X) - F(x) / Delta X   When I plug F(x) in the the problem it looks like this. F(7/x2 + DeltaX) - (7/x2) / DeltaX

Q: Find the limit, if it exists. V(t + 25)(t – 1)² lim 11t - 11 t-1+

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Q: Find the derivative of the function by the limit process. f(x) = x2 - 2 %3D f'(x) = 2x %3D Need…

A: Apply Limit rule

Q: the derivative of E(q) is-(q*(q^2-1))^-1. what's its global maximum and global minimum. Thank you!

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Q: OFind the eguation of the tangent line for f(x) = 6x²-3x +a when x= 5. You may problem. use…

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Q: Find the value of the derivative (if it exists) at the indicated extremum. -4 4/6 3 f(x) = - 3xVx +…

A: To find: The value of the derivative fx=-3xx+2. Formula used: Product rule of differentiation:…

Q: If f(x)=4/x, find the derivative of f(x) at x=2 using the limit definition of the derivative at a…

A: given function f(x)=4/x we have to find a) the the derivative of f(x) at x=2 using the limit…

Q: 2) Use the limit definition to find the derivative of the given function. y = 3r2 – 2x

A: Limit definition of derivative is f'(x)=limh→0f(x+h)-f(x)h

Q: What is the derivative of f(x)=−3? Do not include "f′(x)=" in your answer. For example, if you found…

A: Formula:The derivative of a constant function is zero.

Q: 4x - 4 if x > 2 Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2

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Q: Suppose that f(x) = 5x² + 2x. Use the limit definition of the derivative to answer the following:…

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Q: Explain what is incorrect with the following limit definition answers, and correct the errors. There…

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Q: The derivative of the function f is defined by ƒ'(x) = (x² + 1) cos (x²). If f(1) = 1, what is the…

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Q: 2. At x 3, the tangent line to the graph of a function f (x) is y = 4x + 5. What is f'(3)? How do…

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Q: What is the derivative of f(x)=−2x?Do not include "f′(x)=" in your answer. For example, if you found…

A: we have to find derivative of f(x) ,we will use power rule

Q: 4. Given f (x )=x'-12x +1. Use the second derivative test to determine the local extremum off (x).

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

Q: Find q′(x) from q(x)=−5x3+x2−3x−3 using the definition of a derivative. (Do not include "q′(x)=" in…

A: Express the mathematical expression for the definition of derivative. f'(x)=Lth→0f(x+h)-f(x)h Given…

Q: FIND THE DERIVATIVE OF THE FUNCTION BY THE LIMIT PROCESS. SHOW YOUR STEP BY STEP SOLUTIONS.  2.…

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Q: 3, g(æ) = (x? + 1)°(x² + 2)"

A: Explanation and solutions is given below....

Q: Find all possible functions f with the given derivative. f'(x)= 1/x-1, x is greater than 1

A: Obtain the all possible functions as follows.

Q: how would you, using a limit def. of a derivative at a point find f'(-1) for the function f(x). =…

A: Hint:

Q: 4.x – 4 if x > 2 4. Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2

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Q: The derivative of the function f is defined by f'(x) = x² - 3 sin (x - 5). What is the x-coordinate…

A: How to find absolute minima of function f(x) in a given closed interval: find the critical points…

Q: The derivative of the function f is defined by ƒ'(x) = (x² + 5) cos (3x). What is the x-coordinate…

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Q: 11. Use the limit definition to find the derivative of f(x) = x² -2 x. 12. Find an equation of the…

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Q: How do you find the derivative of f(x) = 5 using the limit definition of derivatives? I know it is…

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Q: 1. Find the derivative of f(x) = 3x³ + 2x using the limit definition.

A: We have to find derivative using definition.

Q: 3. Use the second derivative to find the location of all local maxima for the following function and…

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Q: Find the derivative of the following function. You must show work for this problem. et 8(x) = x2 + 1

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Q: find the function with the given derivative whosegraph passes through the point P. g'(x) = 1/x2 +…

A: g'(x)=1x2+2x,P(-1,1) Formula ∫xndx=xn+1n+1+C

Q: What is the second derivative of f(x)=−x4? at the point x=−3 Do not include "f′′(x)=" in your…

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Q: 2х-3 3. у %3 Зx+4

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Q: Let the numerator of our function be called f (x), and let the denominator be called g (x). That is,…

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Q: Find the anti-derivative of  s(x)=−7x2.  (Do not include the constant C in your answer.)

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Q: 3. Use the limit definition of the derivative to find the derivative of the function. a) f(x) = 2x²…

A: Given query is to find the derivative using definitely.

Q: Find the intervals of increasing and decreasing, and intervals of concavity for f(x)=x^2/3(x-4) Do…

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Q: In this question you will use the definition of a derivative as a limit to find the derivative of…

A: Given,

Q: 8. For the function: 2 f(x) x +3' use the limit definition of the derivative to find f'(x).

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Q: What is the limit that will calculate the derivative f'(2) for the function f(x)= x-1

A: solution of the given problem is below...

Q: If we need to calculate the derivative of a function at a point, there are two ways we can think…

A: Given: gx=x-x2

Q: (9) = ________________   Find an equation of the tangent line at  x = 9.

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Q: What is the derivative of the exponential function a x, a &gt;0 and a ≠ 1? What is the geometric…

A: The derivative of the exponential function ax is as follows.

Q: 1 Use the limit definition of the derivative to find f'(x) if f (x)= 10x

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Q: 3- Suppose that the second derivative of the function y = f(x) is y" = (x + 1)(x - 2). For what…

A: 1)y'' = (x+1)(x-2)2)y' = (x-1)2(x-2)(x-4)

Q: Find the equation for the tangent to the curve at the given point using the limit definition of…

A: To find the slope of the tangent we need dy/dx at x=2 So the slope of the tangent is 4

Q: What is the derivative of f(x) = -3? Do not include "f'(æ) =" in your answer. For example, if you…

A: Given            f(x)=-3

Q: Suppose the first derivative of a function is f'(x) = (x- 30)(19x+ 1). The function f is decreasing…

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Q: You do not need to use the limit definition of derivative for the following problems. 8. Determine…

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Q: Find the derivative of the function f(r) = 3x² – 12x by the definition of derivatives | f(x +h) -…

A: here option C is true 6x-12

Q: What is the derivative of the attached function for x= -8   -1 -1/2 1 2

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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: