SECTION 3.4 EXERCISES Getting Started 1. How do you find the derivative of the product of two funetions that are differentiable at a point? 2. How do you find the derivative of the quotient of two functions that are differentiable at a point? 3. Use the Product Rule to evaluate and simplify ((x + 1)(3x + 2)). 4. Use the Product Rule to find f'(1) given that f(x) = re d( x 5. Use the Quotient Rule to evaluate and simplify dx 3x + 2/ 6. Use the Quotient Rule to find g'(1) given that g(x) 7-14. Find the derivative the following ways: a. Using the Product Rule (Exercises 7-10) or the Quotient Rule (Exercises 11-14). Simplify your result. b. By exparding the product first (Exercises 7-10) or by simplifying the quotient first (Erercises 7/-14). Verify that your answer agrees with part (a). 7. f(x) x(x 1) 8. g(1) = (t + 1)( – t + 1)

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (t –…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 10 fle) = /" (금e-1) f(x)…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) =…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = dt…

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Q: In Exercises 13–24, compute the derivative using derivative rules that have been introduced so far.

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the fund h(x) = V5 +r3…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. h(x) =…

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Q: Find the derivative of the function at the given point in the direction of A. Options are: 1)…

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Q: Use Part 1 of the Fundamental Theorem of Calculus tofind the derivative of the function.

A: Part 1 of the Fundamental Theorem of Calculus says: Where, a=constant

Q: Find the derivatives of the functions in Exercise

A: Given: r=21θ+θ We know that ddxxn=nxn-1                                                        ..1

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h(x)= […

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Q: 3. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (1)…

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Q: 2.Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function: g(x) =…

A: Given data: The expression for the give function is gx=∫0x1t3+1dt. The derivative of the given…

Q: Find the derivatives of all orders of the functions in Exercises

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. h(x) =…

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Q: Write true if the statement is correct and false if the statement is incorrect. Write your answer on…

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Q: Find the derivative of f(a) %3D 울 -울 + 4VE

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) :…

A: Use fundamental theorem of calculus

Q: Jse Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h (x) = V5…

A: We area asked to find the derivative of the function using fundamental theorem of Calculus

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. F(x) 0. 5…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = t3+3°dt f'(x) =…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the func - 2t dt g(x) =…

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Q: Find the derivative using the methods of Example 6 in the text. y = x8x y =

A: Consider the equation y=x8x We have to find the derivative of y=x8x Taking logarithmic both the…

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A: We know that derivative of xn is nxn-1. Here We use fundamental theorem of calculus then find g'(x).…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) =…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 1 g(x) =…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (t - g'(s)…

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Q: 5. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. •cos…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(2) = | : 1 -dt 1 + t5…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y = (3 +…

A: Fundamental theorem of calculus Part -I :    If f(x) is continuous over an interval  a,b , and the…

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A: Given that  f(x)=4/(3x-5)^2  To find the derivative of f(x)

Q: Find the first derivative formula for the function g, by using the definition found in section 2.2.…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) =…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h (x) = |.…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h (x) = |…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 4 3 +2…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. F(x) 5 +…

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Q: = [₁²₁ Use the Fundamental Theorem of Calculus, Part 1 to find the derivative of g (r) : = x² + 4dx.

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Q: Use Part 1 of the Fundamental Theorem of Calculus tofind the derivative of the function.

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of te function.

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. V 5 + 3 dr…

A: Then we substitute u and try to find h'(x) using the chain rule.

Q: Use Part I of the Fundamental Theorem of Calculus to find the derivative of g(x) = 3x 2x и +1 du и -…

A: Giveng(x)=∫3x2xu+1u-2du

Q: Find the derivative of the given functions using chain rule. 1. f(x) = (2x + 1) 2. f(x) = (x² + 4x –…

A: To solve the following derivatives using chain rule and product as well as quotient rule.

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. rtan x V…

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Q: EXERCISE 3. Derive a formula for the nth derivative of f(x)

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