7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 and 18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 13. e h(x) In t dt 1

Q: Evaluate the derivative of z f8.png asin (bvx3) f(x): %3D c2x + In(kx) if a = 15.08, b = 5, c = 5,…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. et h(x) 6…

A: Given h(x)= integration 1 to e^x 6In(t) dt Now finding h'(x) using fundamental theorem of calculus…

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

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

A: We have to solve

Q: Find the derivative of the following function F(x) = :7 (21 – 1)° dt x4 using the Fundamental…

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Q: Find the derivative of the following function F(æ) = [ (2t – 1)³ dt - 23 using the Fundamental…

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

A: We will find f'(x) as following.

Q: 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 and 18 Use Part 1 of the Fundamental Theorem of Calculus to…

A: The given integral is,

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) e2t2…

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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: 1. Compute the first, second, and third derivative of a. f(x) = x² In(x+ 1)

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Q: c) h(x) =(5x-1) 12x² – 6 d) m(x) = (4x² – 9x} %3D

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Q: 4.9. Show that if f has a bounded derivative on [a, b], then f is of bounded variation.

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Q: Ise Part 1 of the Fundamental Theorem of Calculus to find the derivative of the fum 8(x) = [" 1 dt t…

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

A: We have to find the derivative from the given

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 1 dt = 1+ t2 f'(x) =

A: Given: f(x)=∫2x11+t2 dt By using part I of the Fundamental Theorem of calculus to find the…

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A: We have to find the derivative according to the given information

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

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Q: Find the derivative of the following function F(x) (2t – 1)³ dt X3 using the Fundamental Theorem of…

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Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: Find the derivative of the following function F(x) = | (21 – 1)° dt using the Fundamental Theorem of…

A: ∫abf(x)dx=-∫baf(x)dxAccording to fundamental law of calculusddx∫0f(x)F(t)dt=f'(x)*F(f(x))

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

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

A: solnThe FTOC tell us that:ddx∫0xf(f)dt=f(x)  for any constant a(a) g(x)=∫2xt3  sin  2tdt…

Q: question 31

A: Consider the given function.

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = t4…

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

A: To find the derivative of the h(x) using fundamental theorem of calculus part 1.

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 one 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 tofind the derivative of the function.

A: We have given;

Q: h(x) = 2 In(t) dt J1

A: Given: The Part-1 of the fundamental theorem of calculus for a function f continuous on [a,b] is…

Q: Find the derivative of the following function F(x) = / e (2t – 1)³ dt x5 using the Fundamental…

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Q: Find the derivative of the following function x4 F(x) = (2t – 1)3 dt using the Fundamental Theorem…

A: Consider the given function in the form of the definite integral for f(t).

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. y=  the…

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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 tofind the derivative of the function.

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Q: Find the derivative of the following function F(x) = (2t – 1) dt using the Fundamental Theorem of…

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Q: a) g(x) = S* vVt +t³ dt

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Q: d) Hence form a conjecture for the derivative of functions in the form y = (ax + b)². e) Prove your…

A: As you have mentioned I am answering Question (d) and Question (e)

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: 7. Consider the function f(r) = In r - 4VT. 1- 27 (a) Show that the derivative is f'(x) :

A: lnx-4x

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

A: To find the derivative of the given function

Q: 5. Compute the derivative, r'(t), of r(t) = (et-4, t, In(1 – t)).

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

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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: Find the derivative of the following function F(x) = [ ) = L{(3+1 – 2)°dt using the Fundamental…

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Q: 1. Find the derivative of the following by using the Theorem. a. y = In(3x3 – 6x +9) b. y = In[(2x –…

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Q: Use the First Part of the Fundamental Theorem of Calculus to find the derivative of the following…

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Q: st -xp- 4–lu 1 +x4 y =

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