Given the graph of a function y = f(x) below, select the representation that best corresponds to the derivative of this function. Relert one

Q: Q3\ Find the derivative of the following function by using the definition f(x) = x-1

A: Given function is fx=xx-1

Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that…

Q: Find the derivative of the function using the definition of derivative. g(t) = 7/(t^1/2) g'(t) =?…

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Q: Find all possible functions with the given derivative. y'=-5+7/x^2

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Q: Find the derivative of the function. g(x) + g'(x) = + 3.

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Q: In the left-hand column below are graphs of two functions. In the right-hand columns are graphs of…

A: When function is increasing its derivative is positive but when function is decreasing ,its…

Q: Find all possible functions with the given derivative. y = 5x -7x

A: y'=5x2-7x

Q: Let g(x) = 7¯X. Find the derivative of the function g.

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Q: Find the derivative of the function g(x) et 5x - g'(x) =

A: We have to use quotient rule for derivative and use  d/dx(ex)=ex d/fx(ax+b)=a

Q: Q2/ Find the derivative of the function (x) =v3x-x by definition

A: Solve the limit for very small change in x .

Q: Given f(x) = -x – 8, find f' (9) using the definition of a derivative. Provide your answer below:…

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Q: Find the derivative of the function below using the definition of the derivative. f(x) = 2³ + 2

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Q: Given the function f(z) shown, which is the graph of the derivative f'(z) ?

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Q: Q3\ Find the derivative of the following function by using the definition f(x) = X-1

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Q: The given graph represents x), the derivative of Ax), Which of the following is true? f(x)

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Q: Given f(x) : , find f'(-1) using the definition of a derivative. x-2 Provide your answer below: f'(…

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Q: 8. f(x) = et

A: As per our guideline we are supposed to be answer  only one question

Q: write an example of a function, f(x), whose derivative is itself.

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is the function,…

Q: Which of the following describes the derivative function ƒ′(x) of a quadratic function ƒ(x)? (a)…

A: Given:     f(x) be a quadratic function.

Q: Find the derivative of the function. 2 + g(x)

A: We know that  ddxxn = n·xn-1

Q: Give the derivative formula for the function. g(x) = 2.1* + g'(x) =

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Q: For the following f(x) graphs, sketch the graph of the derivative function.

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Find the derivative of the function and then evaluate at the given point. y= 3x- 4x; (- 1,7) f'(x)=D…

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Q: Q1: Using the definition, calculate the derivative of the following function. f(x)=4-x

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Q: a) Find the derivative of g(x) = 3tanx - 4cotx. b) What is the value of g'() ?

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Q: Find the derivatives of the following functions.

A: We have,  y= x3arcCosx3Apply chain rule , y =uv = dudxv +dvdxudydx = d(x3)dxarcCosx3 +darcCosx3dx…

Q: Find the derivative by the definition of each of the following functions: - + 2x

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Q: Using the definition, caleuhate the derivative of the following function. f (x) = 4-x²

A: Derivative: A function is said to be derivable or differentiable if lim∆x→0fx+∆x-fx∆x exists and…

Q: Below is the graph of y = g(x). use the pencil tool to sketch the derivative function g'(x). Be…

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Q: Given f(x)=√x + 3, find f'(-2) using the definition of a derivative. Provide your answer below: ƒ'(…

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Q: find and simplify the derivative of the following function.

A: The given function is h(x)=xexx+1. Product rule: uv'=u'v+v'u Quotient rule: uv'=vu'-uv'v2

Q: Evaluate the derivative of the function at the given point. t= -2 8t+3'

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Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

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Q: b) f(x) = (e* (Inx² – 3))*

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: To find an equation for the function f that has the given derivative and whose graph passes through…

Q: Shown below is the graph of f'(x), the derivative of f(x). f'(x) -3

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Q: Using the definition of derivative, find the derivative of the following functions: 1 (c) y= 2x

A: Given, The function  y = 12x   We have to find the derivative of the following function.

Q: Find and simplify the derivative of the following function. f(x) = x+3 %3D Which of the following…

A: The given function is fx=xx+3. Obtain the derivative by quotient rule as follows.…

Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: Select the correct graph of the derivative of the functionf (x) given below. -4 -2

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Q: Find the derivative of the following function by applying the definition of the derivative. State…

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Q: '(a): Using the definition of derivative, find the derivative of f(x) = x² + 1.

A: The given equation is: fx = x2 + 1 The derivative of this equation is found as follows:

Q: Assuming g is a differentiable function, find an expression for the derivative of f(x)=(x^2) (g(x)).

A: Assuming g is a differentiable function, find an expression for the derivative of f(x)=(x2) (g(x))

Q: Find the derivative of the following function given

A: Our Aim is to find the derivative of the functions given below:-y=sec2 (x)-tan2 (x)  -(i)

Q: Using the definition of derivative, find the derivative of the following functions: (a) y=F-2 (b) y=…

A: d(xn)dx=nxn-1 is basic formula

Q: (a) Find the derivative of the function f(x) = ex-1

A: Note: As per company policy we are supposed to solve only one question. So, kindly repost other…

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: