/1 – ť dt dx cos X

Q: Find derivative of the function f(z) = (sin¬' (2z – 1))² with respect to z.

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Q: Find the actual error when the first derivative of f(x) = sin(2x) at x = 1/8 is approximated by the…

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

Q: Use the Power Rule to compute the derivative.

A: The power rule of derivative is given by: ddxxn=nxn-1

Q: Calculate the derivative. tan 8t dt dx x

A: Solve the following

Q: Find the derivative with respect to the independent variable. f(x) = cos (- 23x) f'(x) =

A:

Q: Find the derivative of F(x) = 4 sin(t) dt. 3x2 dx Jcos(x)

A: Given that,

Q: Find the derivative of the funciton F(x) = ,5t dt. F'(x) =

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Q: Use the Fundamental Theorem of Calculus to find the derivative of F(x) = tan(t?)dt

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Q: Use the definition of a derivative to find f'(0) where: x² sin () lo x + 0 f(x) If the derivative…

A: follow next step

Q: Find the derivative of einx -1 X w.r.t sin'x

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Q: Find the derivative with respect to the independent variable. f(x) = 9 cos x - 2 sin x f'(x) = D %3D

A: We have to find derivatives of function: fx=9cosx-2sinx We know the derivatives of trigonometric…

Q: Find the derivative of F(x) = 4 sin(t) dt. 3x %3D dx cos(x)

A: Solve the following

Q: dy Use implicit differentiation to find the derivative, ,if dx y? – 2x?y + 4x = 5

A: Given Expression: y2-2x2y+4x=5

Q: dy Prove that the derivative of y = sec x is = sec x tan x by using the derivatives of sin x and/or…

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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: Find the derivative of the function. f(x) %3D еx sec(9x) cos (9x) · e* + 7e* · sin(9x) f'(x) C cos…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin (x) h(2) = | . (cos…

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Q: use the fundamental theorem of calculus to find the derivative of y=intergral of cos(t)/t^10, from…

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Q: Take the derivative of f (t) = sin(Vet + 1)

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Q: b) Use the definition of the derivative to compute f'(x) for 1)f(x) = 2v-5x + 9, 2)f(x) = x sin 3x…

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Q: Find the derivative of the function using the Power Rule for Functions. y = (x² + 6)²(4x³ – 1)3 dy…

A: Y'= ?

Q: Find the derivative using the long method 3 u = t2

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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: Find the first derivative of the followin the result whenever possible. V4 – x² 1.y = x arcsin=-

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Compute the derivative of each function. f(x) = [sin(4² + x)] [cos(x* + 4)] %3D

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3z F(x) = | cos (t°) dt.…

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Q: Use implicit differentiation to find the derivative in the form dy/dx. 7)x'-2y +xy = 5

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Q: Find the derivative: f(x) = cos 1 + e8x 1- e6x – ebz f'(x) =

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Q: What is the correct expression of the directional derivative for o = xy ln x + sec c-'[sinh(xy)]?

A: The function is φ=xyln x+sec-1sinhxy. The directional derivative is defined as…

Q: Use the Fundamental Theorem of Calculus to find the derivative of h(x)= (from -4 to sin of…

A: This is a calculus problem

Q: 8. y = va? + x²

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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. y = |. 5…

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Q: Use the Fundamental Theorem of Calculus to find the derivative. dt

A: We have to find the derivative by fundamental theorem of calculus.

Q: Use the rules of differentiation to find the derivative of the function.                        y =…

A: Given:  y=x2-12 cos x…

Q: the derivative of sin (x) h(x) = (cos (t) + t)dt COs - 4 h'(x) = ||

A: Using Fundamental Thereom of Calculus of part 1 and chain rule,

Q: Find the fourth derivative of f (z) = 3* + In (z) – 191z. Enclose arguments of functions in…

A: To find :  Fourth derivative of function ,  f(x)=3x+lnx-191x

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 5x F(#) = | cos (t) dt.

A: Fundamental Theorem of Calculus Part I :If g(x) is continuous over an interval [c,d] and the G(x) is…

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

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

A: Given :y = ∫-4xcostt8dt

Q: Use the definition of a derivative to find f' (0) where: x² sin() x + 0 f(x) = x = 0 If the…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3x F(x) = [ cos (tº) dt.

A: Here we use fundamental theorem of 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: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(2) = | sin(t*)dt F'(x)…

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Q: st -xp- 4–lu 1 +x4 y =

A: