Use the definition of the derivative f'(x) = lim following functions. Show your step by step solution. g(x) = x³ - COMPILED MPILED A PILED AND DAND ED f(x+h)-f(x) to find the derivative of the DEDITED LOE DITED BYHNG TED BY JOrGI AND EDITE DBY JOHN BY JOHN

Q: I need help with the rules for finding the difference quotient. for example. f(x)= 1/x^2

A: To evaluate the difference quotient for the given function

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Q: C20+3xHo

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A: The value of limit can be computed as follows.

Q: Identify inflection points and intervals where function is concave up and down. F(x)=x^5+5x^4

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Explain the relationship between a function and the derivative by providing an example.

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Q: -. Let f(x) = 3x²(x − 1)². minimum or neither. Als

A: The given function is ; f(x)=3x2(x-1) 7.

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Q: Use the derivative to explain why the function f(x) = x³ + x³ is a one to one %3D function.

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Q: 32 e こと dz と+e Use gamma or beta laws with the solution in detail of

A: The value of the given improper integral is π/8

Q: f(x)=(1.55)^x+9 for x=8.43 Evaluate the following function for the given value of x.

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Q: 0.12 200e

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Q: 34. Draw the graph of the derivative. The graph of f (x) is provided.

A: Given

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Q: 14х y = Зх-6

A: Given:   To determine: excluded x value for the function.

Q: 2. Determine the derivative of the function f(x) = 2x² ecos 2x Express you answer in simplified…

A: Given :-  The function To Find :-  The derivative of the given function.

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: