Use part one of the fundamental theorem of calculus to find the derivative of the function. g(s) = (t - t6)5 dt

Q: Find the first and second derivatives of the functions in Exercises ( E q² +3 12q

A: We know that; The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Quotient rule:…

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: Find the derivative of the function 1-x2 t2sin(t) dt g'(x) =

A: First I have written the Leibnitz rule for derivative of an integral and using them find the…

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

A: Here given function Now the fundamental theorem of calculus says

Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

Q: Find the derivative of the function y=ax+ba+b, where a and b are constants.

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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: g(s) = (t – t3)²dt %3D

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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: 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 of y- " cos t dt t12

A: Given that  y=∫-9xcos tt12dt

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.

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

Q: Find the derivative of a linear function y=ax+b using the definition of derivative.

A: The derivative of a function f' of function f is defined as f'x=limh→0fx+h-fhh

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 Part 1 of the Fundamental Theorem of Calculus to find the derivative of the functi h(x) = = 60%…

A: We have to find derivative

Q: Find the derivative of the function. h(x) = (x12 - 1) ª %3D h'(x) =D

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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: 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 I of the Fundamental Theorem of Calculus to find the derivative of r10 F(z) tan(t?)dt F'(x)…

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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: Evaluate the derivative of the function at the given point. t= -2 8t+3'

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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 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. 1 g(x) =…

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Q: Find the derivative of f(t) = (In 6)*. f'(t)

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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: 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 function. 14) f(t) = (3 - t)(3 +3)-1 %3D

A: Given the function f(t)=(3−t)(3+t3)−1

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

A: SOLUTION-

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 function. h(x) = log,(x² + x) h'(x) %3D

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

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: Find the derivative of the function. h(s) = -2 -2V9s + 1 2 h'(s) %3D

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Q: 3) Use the definition to find the derivative of f(t) = +1 t+1 %3D

A: f'(t) = -1/t2

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of Cos t dt

A: Given :y = ∫-4xcostt8dt

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(s) : (t…

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

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

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

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Q: ) R(y) = S, t³ sin t dt

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Q: Find the derivative of the function f(x) = (4x? – a – 4)* at x = - 1. %3D f'(-1) = Pr

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F (z) = : sin(t) dt…

A: Given query is to find the derivative.