Calculate the derivative d dx t14 + 5dt using Part 2 of the Fundamental Theorem of Calculus.

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: Compute the derivative. H(t) = sin t sec2 t

A: Here given the function as H(t)=sin t sec2t

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

A:

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

A: ∫abf(x)dx=-∫baf(x)dxUsing fundamental law of calculusddx∫af(x)F(t)dt=f'(x)*F(f(x))

Q: 17 Find derivative : f(t)= SVE et +t. f'(t) = ? %3D

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Q: Use the Fundamental Theorem of Calculus to find the derivative of 6 F(z) sin(t*)dt F'(r) = -sin(216)

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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: Use the Power Rule to compute the derivative: d. X. dx x=-1

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Q: Compute the derivative of f(x) = (sin x)v , 0 < x < T.

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

A: Use part I of the Fundamental Theorem

Q: Use the Fundamental Theorem of Calculus, Part 1 to find the derivative: d •√x (t² + Int)dt dx Sa

A: First I have written the Fundamental theorem of Calculus and using it for given problem and find the…

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

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Q: Use the Fundamental Theorem of Calculus to find the derivative of Cos t -dt t11 -3 dy dx II

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Q: Find the derivative. F(t) = In(sinh(2t)) %3D F'(t) %3D

A: Find the derivative of the function

Q: 3. dx 4.-72 dt

A: ddx∫1x34-t2 dt

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

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Q: . Use the Fundamental Theorem of Calculus to evaluate the derivative: t3 – t -dt cos (t) d - dx

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Q: 150. dx), V9 – y²dy 3

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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. g(*) = Ve…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of h(2) = sin (z) (cos (t*)…

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

A: First, we split the integral function into two terms. Now find the derivative of both integrals by…

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 I of the Fundamental Theorem of Calculus to find the derivative of 5 F(x) cos (t*)dt. CoS…

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Q: Calculate the derivative d dz (2t5 34 dt using Part 2 of the Fundamental Theorem of Calculus.

A: The solution are next step

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: Calculate the derivative re8x d In (t)dt dx using Part 2 of the Fundamental Theorem of Calculus.…

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Q: у %3D V1+ 2х (1 — х)-3

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Q: Calculate the derivative d da 34 dt using Part 2 of the Fundamental Theorem of Calculus. 34 d dx…

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Q: sint F(x) = √"* ( *ª*** ( √ ¹ + uª) du) dt Jo

A: The Fundamental Theorem of Calculus says: F(x)=∫ag(x)f(t) dt⇒F'(x)=f(g(x))g'(x)

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

A: We have given;

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

A: The Fundamental Theorem of Calculus says: ddx∫ag(x)f(t) dt=f(g(x))·g'(x)...(1)

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 the function. g(r) = Vx²…

A:

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

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Q: Find the derivative using the theorems on derivatives. dx x2-2 1 y = 2.y = (x? – 1)³(x² + 3)? x3+4x…

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

A: ddx∫x8e5x ln(t) dt  Proof:    ddx ∫x8e5x ln(t) =ln (e5x) ddx( e5x ) - ln (x8) ddx( x8)…

Q: 11a d dz In (t)dt

A: To find: ddx∫x4e11xlntdt

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 F(x) = | cos (t*)dt.…

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

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

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Q: „sin x d dx. V1 – 1²dt 154.

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Q: compute the derivative of f ◦ g. f (u) = sin u, g(x) = 2x + 1

A: Let By chain rule of differentiation, we have

Q: Calculate the derivative 26 dt d (6£4 dx using Part 2 of the Fundamental Theorem of Calculus. 26 dt…

A: According to the fundamental theorem o calculus:

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

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Q: d et? dt dx

A: Given: ddx∫xx2et2dt

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.

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.