Your job is to estimate this special base. In other words, estimate the value of b for which, at every point on the graph of the function f(x) = b*, the derivative is equal to b*. %3D

Q: Given function: y = x* – 4x3 +2

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Q: 0.0 2 -0.5 -2 -1.0 2 I II III 2. 2.

A: In I: the function is less than 0 for some and later greater than 0. The function is increasing…

Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

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Q: The derivative of the function - is equal to e Select one: a. a(2º In 2 + 1) b. e" (2ª In 2) c. e"…

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Q: f(x ) = x -3 х 2—9

A: Simplify the function then take derivative and draw the graph.

Q: The derivative of the function Is equal to Select one: a. e"(2" In 2 + 1) b. æ(2" In 2 + 1) c. e2²+=…

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Q: A. f(x) = 2xª + 5x² - 5 %3D X slope - 4 - 1/2 2.

A: Solution:  Given f(x)=2x4+5x2-5To find the derivative of f and then the slope of each given…

Q: 9x= (Jx+ x) (+xt) %3D

A: Given  g(x)=x+x2x3+x+2 To take derivative of g(x), we apply product rule (uv)'=u'v+v'u…

Q: Sketch the graph of the derivative for function shown.

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Q: Match each function to the rule you would need to use to compute its derivative. Answers may be used…

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Q: 2. Sketch the derivative of the function whose graph is given below. Explain why you drew it the way…

A: We have to draw graph of derivatives function.

Q: The slope of the tangent line at any point on the graph of f(x) = 7x2 + 4x is given by the…

A: Given f( x ) = 7x2 + 4x f'( x ) = limh→0f( x + h ) - f( x )h

Q: Find a formula for the derivative of the function 2x2 – 3

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Q: The graph of a derivative function is shown below. Explain what type of function f(x) must be. Use…

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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: