Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = | V + 64dt -4 f'(x) = [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ]

Q: Determine the derivative of tan − 1 (√1−x/1 + x)

A: we hav to determine the following derivative. For this we can put x = cos(thita)

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: 1/x using the definition o

A: we have to find the derivative of f(x) using the first principal. f(x)=x+1x

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of h(z) = , • sin (z ) (cos…

A: A detailed solution is given below.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of • sin ( x ) h(#) = | , -…

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

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Q: Compute the derivative. f(x) = (cos2 x)cosx

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Q: Prove, using the definition of derivative, that if f(x)  = Cps x,then f'(x) =- Sin x

A: Given fx=cos xBy definition of derivativef'x=limh→0 fx+h-fxhfx=cos xThereforef'x=limh→0 cosx+h-cos…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(æ) : Vt3 + 2°dt f' (x)…

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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 part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = | V+ 5°dt %3D -5…

A: Solution:

Q: Find the derivative of f(x) = √5 - 4x. To enter √a, type sqrt(a). f (2)

A: The objective objective is to find f'(x).

Q: Let f(x)=," 1 Use the definition (first principle) to determine the 1-x derivative of ƒ(x).

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Q: 3. Calculate the derivative of f (x) = x2 +1 showing all your work.

A: Using the formula u by v = vd/DX(u)-u d/DX(v)/v^2 According to the bartleby guidelines I can  solve…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. [5 ,3

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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: Give the complete solution Find the derivative of f(x) = 5x6 - sec-1(x2)

A: Complete solution is given.

Q: f(x) = tan (5æ).

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Q: Use the definition of differentiation to find the derivative of the function f(x) = 4 - Vx +3. Is…

A: Given: The given function is f(x)=4-x+3. The objective is to find the whether the derivative of the…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(2) = | V+ 2*dt 2 f'…

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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 the Fundamental Theorem of Calculus to find the derivative.

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f (x) = 20 – Pdt .

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(z) = %3D 1 f'(z) =…

A: To use the  part 1 of the fundamental theorem of calculs to find the derivative.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 12 dt f'(x) = [NOTE:…

A: From the fundamental theorem of calculus,…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin (x) h(x) = |. (cos…

A: Lebnitz rule for differentiation problem.....

Q: Prove, using the definition of derivative, that if f(x) = cos x then f ' (x) = - sin x

A: we have to prove by using the definition of derivative that if f(x)=cosx then f'(x)=-sinx   as we…

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

A: Here I am attaching image so that you understand each and every step.

Q: Let f(x)=9−(4x^2+3x). Then according to the definition of derivative

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Q: (*) 5

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

Q: I need to find the derivative of some calculus equations

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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: 4 3. Лх) — Зх - 5 %3D

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

Q: Find the derivative of f (x) = arcsin (x²). 2x f' (x) = 1-a4 f' (x) V1-x4 2x O f' (x) = V1-a² O f'…

A: Use differentiation of trigonometric function

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin(x) (cos(t²) + t)dt…

A: Given that , hx=∫-1sinxcost2+tdt h'x=?

Q: Find the Do not include "f'(x) =" in your answer. derivative of f(x) = (-x³ - 2x² - 2x) sin (x).

A: Given f(x)=(-x3-2x2-2x)sin(x)

Q: Find the derivative of f(x) = (-x6 - 3x² - 6x) sin(x). Provide your answer below: f'(x)=[

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Q: Find the derivative of f(x) = et tan( – 82° + 5a“). - f'(x) =

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(2) = / VB+1 t f'(x) =…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 15 f(x): dt f'(x) -…

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

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

A: Here given function

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

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 12 fe) = [, (; - )". dt…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = dt 2 f'(x) =…

A: Using fundamental theorem of calculus,

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of r1/a h(x) = | 10…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of rsin (a) h(x) = (cos…

A: First part of fundamental theorem of calculus: It states that if 'f' is continuous on the closed…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 8. = Ge -1) at f(x)…

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Q: f(x) = In(sin² x)

A: Given,           fx=lnsin2x

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin ( z) h(2) = /" (cos…

A: h(x)=∫-2sin(x)cost4+t dt