g(x) = Find the derivative of the following function. x, - /V5+? dt Solution Since f(t) = V5 + t2 is continuous, part one of the fundamental theorem of calculus gives the following. g'(x) =

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A: Given functions to be differentiate are    1.   y=x2-2x3+4x    3.  y=x2-2x      we will make use…

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A: Given:

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Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x = 5 using a…

A: Given function is y=cosx. We have to find the first derivative of y=cosx at x=π2 using a value of…

Q: 5. Find the derivative of: a. f(x) = cos(e³x-4)

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Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

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Q: Find the derivative of the function. 1 - e3x = cos y = cos 1 + e3x y' =

A: Differentiate

Q: 5. Find the third derivative of the function : 3 (ans. : - 8y y=Vx

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: 2) Use the Chain Rule to express the second derivative of fog in terms of the first and second…

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Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: Find the derivative of the function. 1- e3x 1 + e3x y = cos y' =

A: Given that: y = cos1-e3x1+e3x To find: We have to find the derivative of the given function.

Q: In(x), Sn (4t + et) dt. Find the derivative of F(x). 3.

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (x2 ln x)4

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Q: 1 14) Use the definition of derivative to find dx 3- х.

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Q: Find the derivative of the function tanh-e* A. -1/2 csch x B. 1/2 csch x C. -1/2 csch 2x D. -1/2…

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Q: find th first derivative: x=2cos2 t/2

A: we need to find the first derivative of

Q: 5. Find the derivative of y = In(cos v3x + 2 ), by using chain Rule.

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y=x2+5x−1y=x2+5x−1 at x=0x=0…

A: Given function is y=x2+5x−1. We have to evaluate the first derivative of y=x2+5x−1 at x=0 using a…

Q: 1. x² - 2xy + y² − 6x + 2 = 0

A:

Q: Let y = x(ln x)² – 2x In x. Find the value of X for which the second derivative, y" (x), equals…

A: Solve the following

Q: Find the derivative: 1+ e2x = cos 1 - e6x f(x) f'(x) =

A:

Q: 5. Find the first order derivative with respect to y of the function U = In/x² + y² + z²

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = x4/4 ln x - x4/16

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Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

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Q: Find the derivative of y with respect to x. 1, 1+x2 In 1- x3 y

A: If you have function f(x) in the numerator and the function g(x) in the denominator, then the…

Q: find the derivative of y with respect to the appropriatevariable. y = csc-1 (x2 + 1), x > 0

A: Given that, y=csc-1x2+1

Q: 1. Y= 3x -x- 2

A: Find your answer below

Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

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Q: 4. F(x) = (1-t) dt

A: To find the first derivative

Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

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Q: Calculate the derivative of the following function. y= sin (cos (3x)) If the Chain Rule only needs…

A: In the question we have to find derivative of the given function.

Q: e derivative of y with respect to x. y= 2sin^-1(5x^4

A: we have to find the derivative of y with respect to x.y=2sin-1(5x4)

Q: the Chain Rule.

A: Given: y=11-x46. Let, u=1-x4 By chain rule, the derivative of y with respect to x is given as,…

Q: Find the derivative of f(x) = 4e 3x + e -x^2 f(x)= ?

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Q: Find the derivative of g(x) = e-" cos(x²)

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Q: 1. Explain how to use the differentiation part of the Fundamental Theorem of Calculus to determine…

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Q: (a) Find the first derivative of the function y= la) with respect to x by using the chain rule.

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Q: Find the derivative of both a and b a. x csc-1(1/x) b.(esin2x)/[In(cos2x)]2

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Q: Find the derivative of the function.

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Q: Solve for the derivative of the Inverse Hyperbolic Differentiation. 1. y = sin h-1 (2x2 - 1) 2. y…

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Q: 1. Find the first order derivative of u = x*.

A:

Q: 3. F(x) = " In(x) (4t + et) dt. Find the derivative of F(x).

A: Given, F(x)=∫1ln(x)(4t+et)dt To find : Derivative of F(x) By using the second fundamental theorem of…

Q: find the derivative of y with respect to x, t, or θ, as appropriate.

A: On simplification, we get

Q: Compute the derivative of x(x + 2) (2x + 1)(3x + 2) y = (a) directly using the Chain and Product…

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Q: Find the derivative of f (x) =arcoth (e³" ).

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Q: 8. Find the derivative of y = In(3t) dt.

A: To Determine: Find the derivative of given integral:…

Q: 2) Use the Chain Rule to express the second derivative of ƒog in terms of the first and second…

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (cos θ) ln (2θ + 2)

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Q: Find the derivative of y with respect to x. Y=(x^2 ln x)^4

A: