Sketch a graph given two sign charts of a function and it's derivative.

Q: give an example of derivative

A: We have to give an example of derivative

Q: 3.) y = log2 – 6·x³

A: Explanation: Given that,  y=log2(-6x3)

Q: Use a computer algebra system to find the derivative of the function. Then use the utility to graph…

A: Function: y=cos x+1x 1) To use a computer algebra system to find the derivative of the function. 2)…

Q: y 1.25+ 0.625+ +++ -3.125-2.5 -1.8751.25-0.625 +++ 0.625 1.25 1.875 2.5 3.125 x -0.625+ -1.25+

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Q: Draw the derivative of these graphs.

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

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Q: Find the derivative of the function

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Q: Below is the graph of a function. Which of the following could be a graph of its c 3 2 1 -2 T3/ 1 2…

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Q: [3 + x? cot(x²)]-3 -3[2x cot(x²) – 2x³ sec²(x²)] [3 + x² cot(x²)]4 A -3[2x cot(x²) + 2x³ sec² (x²)]…

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Q: Find the derivative of the function

A: Given:y=arctanx+x1+x2Differentiate formula:ddxarc tanx=11+x2ddxuv=vdudx-udvdxv2

Q: Find the derivative of the function

A: The given function is, gx=x2+2x-1ex. The objective is to find the derivative of the function.

Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: What do the derivatives of a function tell you about the shape of its graph?

A: If the first derivative is positive, then the graph increases. If the first derivative is negative,…

Q: -2x sinky sitlecex) -10

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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: