Use part one of the fundamental theorem of calculus to find the derivative of the function. y=  the integral of 4 to 3x+5 (t/1+t^3) dt

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the slope of the tangent line to the…

A: Given: By fundamental theorem of calculus, From the above expression, the derivative of the given…

Q: |Use the method of Differentiation from first principle to prove that the derivative of the square…

A: let f(x)=x

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

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Q: verify the statement by showing that the derivative of the rightside equals the integrand on the…

A: Given statement :

Q: Show both the Newton and Leibniz notation for finding the derivative of y = f(x) = 4x5.

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. x. 4 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: Verify the statement by showing that the derivative of the right side equals the integrand on the…

A: To calculate the integral

Q: Verify the statement by showing that the derivative of the right side equals the integrand on the…

A: We write the expression using exponent and then integrate C=integrating constant

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

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Q: y = x* + 2 sin(x) + xº + 24*.

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Q: Use the Fundamental theorem of Calculus to evaluate the derivative of -2x3 sin(+3) dt

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Q: Verify the statement by showing that the derivative of the right side equals the integrand on the…

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

A: This question related to fundamental theorem of calculus.

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:…

Q: Obtain the derivative of the function y (3 sen(4x))° ( tgʻ(2x)) y = (sec(2x))* – 1

A: This question is based on Trignometric application and diffrentiation of function.

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

A: solution is given below

Q: Use the method of Differentiation from first principle to prove that the derivative of the square…

A: rule  differentiation from first principle f' (x) = limh→o f(x+h)- f(x)h

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. rtan(x) 5t…

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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…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 0. y = 3…

A: Given, y=∫ex03 sin2(t)dt  We need to calculate the value of y' It is of the form of…

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

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

A: Solution :-

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. rtan x y =…

A: According to the Fundamental Theorem of Calculus, If gx=∫axftdt , then g'x=fx Consider the given…

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

A: We have to find derivative

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: Calculate the derivative 33 dt da using Part 2 of the Fundamental Theorem of Calculus.

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Q: Verify the statement by showing that the derivative of the right side is equal to the integrand on…

A: We have to verify that given statement.

Q: 3. Verify the statement by showing that the derivative of the right side is equal to the integrand…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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. h(x) =…

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Q: Calculate the derivative d In (t)dt dx Ja4 using Part 2 of the Fundamental Theorem of Calculus.…

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Q: Use Part 1 of the fundamental Theorem of Calculus to find the derivative of the function. y=…

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y = (3 +…

A: Fundamental theorem of calculus Part -I :    If f(x) is continuous over an interval  a,b , and the…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(2) = | sin(t*)dt F'(x)…

A: Given query is to find the derivative.

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of 16 F(x) = tan(t“)dt

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y = |. 5…

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Q: Use Part 1 of the fundamental Theorem of Calculus to find the derivative of the function. y=…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 8x cos(u²) du. y =…

A: Giveny=∫cosx8xcosu2du

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 to find the derivative of the function. rtan Vot +…

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

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Q: 3. Verify the statement by showing that the derivative of the right side is equal to the integrand…

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Q: /1 – ť dt dx cos X

A: This is a basic calculus question

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

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. y = 2 sin3…

A: We can use fundamental theorem of calculus in order to solve the given problem.

Q: Calculate the derivative 25 dt dx using Part 2 of the Fundamental Theorem of Calculus. d dx 25 dt =

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

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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: Use three-point midpoint formula to evaluate the first derivative of y = sin(x) at x = using a value…

A: To find- Use three-point midpoint formula to evaluate the first derivative of y = sinx at x = π2…