Use part I of the Fundamental Theorem of Calculus to find the derivative of rsin (a) h(x) = (cos (t*) + t)dt -5 h' (x) [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary *, (, ), etc. ]

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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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A: Let y=f o g then we have to find the second derivative of y.

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: Find the derivative of f(x) = In(x² + 1) %3D

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Q: Calculate the derivative In (t)dt da using Part 2 of the Fundamental Theorem of Calculus. Enclose…

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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…

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Q: Use Leibniz’s Rule to find the derivatives of the functions

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

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Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: 7) f(x) = 3e In x %3D

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A: To compute the derivative.  f (x) = (cos2 x)cos x

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of f(x) = Lret dt Sainx %3D

A: Using the fundamental theorem of calculus to find the derivative of: fx=∫sinx7et2 dt Solution:…

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

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Q: Calculate the following (using derivative rules).

A: According to guidelines we have solve only firat three subparts kindly repost other subparts as the…

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

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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.

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

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

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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 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) =…

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Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Use Leibniz’s Rule to find the derivatives of the functions

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 8. = Ge -1) at f(x)…

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Q: s(w) = In( w - %3D

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Q: Find the derivative using the First Fundamental Theorem of Calculus. 13)음 V8t +7 dt dx

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Q: f(x) = In(sin² x)

A: Given,           fx=lnsin2x