f(x) = 7.5x2 - x + 4.7 (a) Find the derivative of the function using the definition of derivative. f'(x) = (b) State the domain of the function. (If you need to use -o or o, enter -INFINITY or INFINITY.) ? v (c) State the domain of its derivative. (If you need to use -o or o, enter -INFINITY or INFINITY.)

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A: In this question we have to find the derivative using the definition of the derivative.

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A: Given,

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A: Given- (a)  Fx=x4-8x2+3 To Find- The graph of the above functions using second derivative.

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Q: 8. Find f'(x) where f(x) = 4x² - 3x + 11.

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Q: (a) f(x) =x² – 2r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x - 5x2 f'(x) =…

A:

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A: We can find the derivative as below.

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

A:

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A: As per our guidelines, we are supposed to answer?️ only one question.   B2(a). Find the derivative…

Q: find the derivative of the function f(x) = 6x^2(x-5)

A: f(x)=6x2x-5f'x=ddx6x2x-10=6.ddxx2x-10Appply generalized power rule:[u(x)v(x)]=u(x)v(x) [ln(u(x)) .…

Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x – 8x² f'(x) =…

A: Given, f(x)=3+6x-8x2 Domain of f(x)=(-∞,∞)

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A: We need to find the derivative of the given function.

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A: We have to find the derivative of function

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

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

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A:

Q: How do you find the derivative of f(x)=5/1-8x using the definition of a derivative?

A: The given function is f(x)=51-8x

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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:

Q: ind the derivative of f(x)= (x^3)/(x^3-5x+10)

A: Given:    f(x) = x3x3-5x+10

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A: Calculus

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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: