Use the Fundamental Theorem of Calculus to find the derivative. Vx-x1-t2 dt d dx

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

A: Concept : Fundamental theorem of calculusddx∫axftdt=fxGiven ,  gs=∫gst-t95 dt            ft=t-t95…

Q: Use the Product Rule to compute the derivative: # (² + 1)(t +9))|t=13 d ||

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Q: Use the Fundamental Theorem of Calculus part I to find the derivative of h(a): cot(t) dt

A: We have to send

Q: Give the derivative formula for the function. j(x) 4 In x e5 = j(x)

A: The function is given by,

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 derivatives to find two positive numbers a and b such that: a^2 +b^2 = 1 and 2a+3b is as…

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Q: Let z = a + ib and f(x) = exp (zæ), then find the 1st and 2nd derivative of f(x).

A: Given: f(x)=ezxwhere,z=a+ib

Q: Use the Fundamental Theorem of Calculus to find the derivative, f′(x), of the following functions

A: (A) The given function is: fx=∫-3xt5-7t3+9t+8 dt To use the Fundamental Theorem of Calculus to find…

Q: Use the definition of the derivative to find f'(x). Then find the equation of the tangent line at x…

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

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

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. S² (t =…

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Q: Calculate the derivative of the function. f(x) = [(2x – 1)2 + (1 – x)°]? %3D f'(x) = %D

A: We will find the derivative using chain rule.

Q: d dx 156. dt 1+14 4°

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

A: Solution: The objective is to find the derivative of the given function

Q: g(s) = (t – t3)²dt %3D

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Q: Use the Fundamental Theorem of Calculus to find the derivative of F(x) = tan(t?)dt

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Q: Find the derivative: j(x)=x3/a+(a/b)x2 -cx

A: Derivative formula:

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: evaluate the derivative by using the appropriate Product Rule, where r1(t) = (t2, t3 ,t), r2(t) =…

A: Given the function r1(t)=(t2,t3,t)r2(t)=(e3t,e2t,et)

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

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Q: Use the Fundamental Theorem of Calculus to find the derivative, h(x) , of the function. h(x)= S,…

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Q: Use the product rule to find the derivative of the following. P(y) = (y1+y-2) (2y-3-7y-4) %3D %3D…

A: We have to find derivative by using product rule

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

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of t S g(s) = = = √³ (t -…

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

A: Recall the fundamental theorem of calculus.

Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

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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 the definition of the derivative to find the derivative of the function f(x) = v2x + 1, then…

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Q: 150. dx), V9 – y²dy 3

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Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

A: As we know that:   If fx=y=∫φxψxftdt then f'x=dydx=fψx·ψ'x-fφx·φ'x   Given:   fx=∫3x11+t4dt

Q: Use part one 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(s) = (t…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the f g(s) = (t - t9)2…

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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 one of the fundamental theorem of calculus to find the derivative of the function. 3х + 4 t…

A: Given query is to find the derivative of the expy.

Q: Use the Fundamental Theorem of Calculus to find the derivative of F(x). Simplify your answer. COs 1…

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Q: Use the Fundamental Theorem of Calculus, Part 1 to find the derivative, g'(x), of the following: 5z…

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

A: SOLUTION-

Q: Apply the Fundamental Theorem of Calculus to obtain the following derivative. sin(x) dx

A: The Fundamental Theorem of Calculus says: ∫abf(x)dx=F(b)-F(a) where, F is an antiderivative of the…

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. f(x) V9…

A: Fundamental Theorem of Calculus (Part one): If f is a continuous function on [a,b], then the…

Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

A: Given,           fx=∫1x11+t5dtWe know that,            By using part I of the Fundamental Theorem,…

Q: Find the derivative of each function e 2x a. f(x) = 2x+1 b. f(x) = In Vx + 2x %3D c. f(x)= x?e* – 6x…

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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: Use derivatives to find two positive numbers a and b such that a^(2)+b^(2)=1 and such that 2a+3b is…

A: Solved below

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

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

Q: „sin x d dx. V1 – 1²dt 154.

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Q: Find the derivative. COSx a) f(x) = In %3D x2-4 4 b) g(x) = Vx + e2x + Tt

A: Given : (a) f(x)=ln(cosxx2−4)

Q: ) R(y) = S, t³ sin t dt

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Q: Determine the derivative of each of the following: a. f(x) = 4x/5 + b. f(x) = 3cos (In(x)) c g(x) =…

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