In Exercises 85–90, use the following table of values to calculate the derivative of the given function at x = 2: f(x) g(x) f'(x) g'(x) 2 х 4 5 -3 4 3 2 -2 3 87. R(x)= f(x) g(x)

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. •x2 h(x) =…

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Q: Use the Fundamental Theorem of Calculus Part 1, to find the derivative of the function 12 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) =…

A: Recollecting Fundamental theorem of calculus part 1 and interpreting with our given

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

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Q: Use logarithmic differentiation to find the derivatives of each of the functions in Exercises 49-58.…

A: Solution:to find the derivative by using logarithmic differentiation53. f(x)=xlogx54.f(x)=(2x+1)3x…

Q: Proof the n + 1 derivative of xk is zero, where k <n

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Q: Use logarithmic differentiation to find the derivative of y. 2 3 (3x + 1)(x +2) y 3D (x4 + 5)(x+7)…

A: Given: y=3x+1x+22x4+5x+73 for finding derivative of given expression, first we take log both side…

Q: In Exercises 173–176, use theresult of Exercise 172 to find the derivative of the function. h(x)=|x|…

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Q: (213 -1 28 dt dz

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Q: In Exercises 11–28, calculate the derivative with respect to x of the other variable appearing in…

A: The given equation is yx+xy=2y. The main objective is to find the derivative of the given equation…

Q: Use the quotient rule to find the derivative. 2.1 +6 f(x) = x2.0 + 1 2.6 3.7 +2.1x x1.1 - 15.6x 1.6…

A: You need to just apply quotient rule.

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

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

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Q: In Exercises 31-44, use the Chain Rule to find the derivative.

A: To find derivative of y=sec1x

Q: In Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.

A: Given that y=z+1z-1=z+1z-112

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: Find the derivatives of the functions in Exercises 27. y = x2sin^2 (2x2)           28. y = x^-2sin^2…

A: To find derivative of 1) y=x2sin2(2x2)2y=x-2sin2(x3)

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

A: Please refer to the image below

Q: Use Fundamental Theorem of Calculus, Part 1, to find the derivative of the function: 9(a)-In (1 +6³)…

A: Fundamental Theorem of Calculus (Part 1): If fx is continuous on a, b, and the function Fx is:…

Q: Find the first and second derivatives of the functions in Exercises 33-38. 1? + 5t – 1 - 34. s =

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

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Q: In Exercises 45-74, compute the derivative using derivative rules that have been introduced so far.…

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Q: In exercises 1-4, use logarithmic differentiation to find the derivative of the TY O 1-f(x) = xsin x…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: In Exercises 135–140, use logarithmic differentiation to find the derivative of y with respect to…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. 3x + 4 t…

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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. 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: Use part I of the Fundamental Theorem of Calculus to find the derivative of 15 1 f(x) dt f'(x) =

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Q: calculate the derivative with respect to x of the other variable appearing in the equation. 18)…

A: Given: x+y12=1x+1y To Find:  To calculate the derivative with respect to 'x'.

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. g(r) = Vx²…

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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 to find the derivative of the function. F(x) =  0…

A: By using part 1 of the fundamental theorem of calculus find the derivative of the function…

Q: In Exercises 1-b, use the First Derivative Test to determine the local extreme values of the…

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

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Q: 4 10. f(r) 3

A: Given: f(r)=43π r3