Example 2: Sketching the function from the derivative Use the features of each differentiate function f(x) to sketch the graph of its original function f(x). y = f'(x) f(x)=y=0.lx'-0.2x² -1.9x+2 = 0.1(x+4Xx-1Xx-5) y=f(x) y=f(x)

Q: Calculate the derivative of the function. (z^ + 6+x^) - (주) (F) P'(x) = +(x+9)(2) (F)* +1 (++9)(4)*…

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Q: Derivative of (x-4)2. The exact process of how to get this derivative.

A: Use the chain rule and power rule of derivative.

Q: Let a= (123)(145) in S6. Write a102 in disjoint cycle form. O (32541) O (16)(24) O None of these…

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Q: Information about the functions, f, g, h, and p over some interval are described below. Based on the…

A: Given that ,

Q: Question: Consider the function f(x) = 3x^3 - 2x^2 + 5x - 7. Determine the derivative of f(x) and…

A: To find the derivative of the function f(x) = 3x^3 - 2x^2 + 5x - 7, we need to apply the power rule…

Q: The rule of the derivative of a function f is given below (but not the rule of f itself). Find the…

A: f'(x) = (x - 1)(x - 6)(x - 8)  => f"(x) = (x - 1)(x - 6) + (x - 1)(x - 8) + (x - 6)(x - 8)  Now,…

Q: Graphs of functions are shown in [-5, 5, 1] by [-5, 5, 1] viewing rectangles. Match the function…

A: Given: Graphs of functions are shown in [-5, 5, 1] by [-5, 5, 1] viewing rectangles. To Match: the…

Q: lefinition of the derivative o

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Q: givrn f(x) = square root of x-3 find the derivative of f

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Q: Derivative. The derivative of e-3 h(x) e(3x2 + 13) 4 + is none of the other answers e-3(-3)(4 +…

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Q: Find the derivative of the function. f(x) = (2x – 8)*(x2 + x + 1)5 f'(x) =

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Q: Find the derivative of the given function. y = csc (1 – a²) CSC y = 5 csc" (1 – a)(- esc° (1 –…

A: Let's find.

Q: 3. Find the derivative of the following functions using differentiation rules. x2+V+V+14 a. y = b. y…

A: In order to solve the given problem use product quotient rule of differentiation in part(a) and (c).…

Q: The derivatives of f(x)=(x+6)(x−6)(x^2+4) f′(x)=f′(x)=_____

A: We can find the derivative of the given function by using the following formula . ddx(xn)=nxn-1

Q: Find the derivative of the function. Do not find the product before finding the derivative. y = (7x…

A: y'(x)=?

Q: Use the chart to find h' (5) in simplest form. f (x) f'(x) g(x) g(a) 1 -3 -9 -7 6- 10 8. -5 h(x) =…

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Q: (5) Find the derivative f' (x). (You may use derivative properties) (a) f(x) = 772 (b) f(x) =x-3 (d)…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: nich step is part of finding the derivative of the function below? The Sice may not be in simplified…

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Q: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

A: This question related to derivative.

Q: What does “composition of functions” mean?  Give an example using two functions f(x) and g(x), along…

A: We have to define composition of function and give examples.