Use the Derivative Rule in Section 3.8, Theorem 3, to derive d 1 sec dx x. 지 V - 1 1지 > 1.

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A: Use part I of the fundamental theorem of calculus to find the derivative.

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Q: Use the Fundamental Theorem of Calculus to find the derivative of .5 x5 y = -lu 1+ x4 dy du

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A: The equation of the tangent line is  y-7x+2=0

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Q: y = In

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

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Q: Compute the derivative of f() = arcsin(x² e3x). %3D

A: I am going to solve the given problem by using some simple calculus to get the required result.

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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:…

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

A: To use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.y=∫sin…

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 functi h(x) = = 60%…

A: We have to find derivative

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. rcos(r) (3…

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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: tan (2x) 3. y = sin (5x–1)

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Q: By using the definition of derivative, proof that tan x = dx sec? x -

A: fx=tanx

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: Use part one of the fundamental theorem of calculus to find the derivative of the function. Зх + 7 y…

A: Derivative of the function using fundamental theorem of calculus is

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: 3/ By using the definition of derivative, proof that tan x = sec? x. %3D dx

A: By definition of derivative , f'(x) = d(f(x)dx= limh→0f(x+h) - f(x)h L Hosital's Rule :When limit is…

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 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.

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = V +2*dt %3D…

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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. 4 3 +2…

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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: Find the derivative of y = /sin (7x + In(5x)) %3D

A: Here we have to find derivative of given function.

Q: Compute the derivative of f(x) = arcsin(x² e3=).

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin ( æ ) = (cos(*") +…

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

A: We know that, the First Fundamental Theorem of Calculus says that if f be a continuous real-valued…

Q: Compute the derivative of f (x) : = arcsin(x² e³«).

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Q: By using the definition of derivative, proof that tan x = sec? x. dx

A: Differentiation gives the rate of change of one variable with respect to another variable.Suppose…

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. 3x + 4 y…

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Q: Find the derivative of the tangent line 3x^2 +3x+3

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Q: st -xp- 4–lu 1 +x4 y =

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