9. Use the definition of a derivative change of the functions below at f(x)% = x² + 2x

Q: U₁₂ 4; 6; -3 3 2 u = x 2² - sin (x²-sy) + / ln (x²452) 2

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Q: . h(x)= cot 1 -tanx

A: Given:hx=cot-11x-tan-1x

Q: e +e =e**

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Q: 2. Find the slope of the graph of the function f(x) = 9x² - 4x5 at x = -1. Show your work using the…

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Q: 3. Sketch the graph of the derivative of the function below.

A: A rough graph can be plotted as values are not given in the given graph.

Q: 35. y = w² sin w+ 2w cos w 2 sin w 36. y = -x³ cos x + 3x² sin x + 6x cos x − 6 sin x 37. y = 38. y…

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Q: 1. Sketch the graph of the derivative of the function:

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Q: Find a function whose square plus the square of its derivative is 1.

A: To Find a function whose square plus the square of its derivative is 1.

Q: Explain the relationship between the slope and the derivative of ƒ(x) at x = a.

A: Given function is  fx at x=a

Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: Find the derivatives w.r.t. x. F(x)=x³-x

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: 5e* Find the derivative of f (x) Зех+1

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Q: termine the derivative of the function g(x) In x+ 10 %3D r- 10

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Q: 11. In y = e" sin x

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Q: Analyze and apply statistics Find the derivative of the following:  a. y = 2x³ - 3x² + 6x – 5…

A: As we know that; The sum difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule:…