If f(1)=3, f(1)=1,g(x)=cos x, and h(x)=[{x)]/[g{x)], then what is h'(1)? Round to the nearest hundredth.

Q: 10. Find the 87th derivative of y = cos(2x) at IT

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

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Q: Is it possible to evaluate the anti-derivative below? | (x + 1) cOS (2x) cos (x2) dx

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Q: 10. | [3 - e-lxl – cos x + log(x²)]dx = 0 x³ +4x – sin x 11. x² – 7 -dx 3 0

A: 10. ∫a53-e-x-cosx+lnx2dxEliminate absolutes =∫a53-e-x-cosx+lnx2dxApply the Sum Rule:…

Q: Find the 80th derivative of y = cos(2x).

A: The given function is y=cos(2x)

Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

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Q: Find the second derivative of the following  a .) 2x^3- 1/2x b.) Cos(x^2)

A: The given functions are  a) 2x3 - 1/(2x) b) cos(x2)

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

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Q: If N(x) = sin x – sin θ and D(x) = x – θ, find the limit of N(x)/D(x) as x approaches θ. (SOLVE BY…

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Q: Calculate differential: f (x) = = e-* cos(3x) + 2 of the range [1,2] with h=0.05 a) Using the…

A: Equation is f(x)=e-xcos(3x)+2.Numerical differentiation method to find the solution.The value of the…

Q: (a)Deduce the 1$, 20d and 3rd derivatives of y = cos²x.

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

Q: Find the first and second derivative of y = e^−2x(cos3x+sin3x)

A: The first derivative of the given function by using the product rule of the derivative:

Q: A// Find the derivative of y with respect to x 5) 3tan-1x + sin-1x = 4 6) y = ln- 1+ ex = la,

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Use the basic definition of Cosh to find the derivative of the function, Coshx=ex+e-x2. Find the…

Q: 2х Find the second orfer derivatives of y=Tan" 1-x3

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Q: 12. The derivative of cos(1 – x) with respect to x is ;A. - sin(1 – x) B sin(1 – x) C -(1– x) sin(1–…

A: Given that: Let f(x)=cos(1-x)

Q: cos (5x-0.1) w(x) =- e*

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Q: If the graph of f(x) has a parent graph of y = sinx and a phase shift of 6. maximum value to the…

A: Given: y=sinx

Q: The derivative of: y =0( sin (In (0))) in (In (0))) + cos(ln (0)) is is:

A: Given function is rewriting in other variables as: y=x(sin(ln(x)))+cos(ln(x)) Product rule of…

Q: (3) Compute the derivative of the function e2t cos tdt.

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Q: 6. Find the first order derivative with respect to z of the function u = In/x2 + y2 +z²

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Q: The 2nd derivative of the given functions is y = 3 cos (4x – 5)

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Q: 1+ cos x y = In 1-cos x

A: This question is based on chain rule differentiation.

Q: Find the 25th derivative of g (0) = cos(40 + a) where a is a real valued constant.

A: The given function is: g(θ)=cos(4θ+α)

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: 3) Suppose 2X z = xe cos 3y, find all the first and all the second derivatives.

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Q: 1- Solve the second derivative forf(x, y,z) = e sinay3) əx2

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given: y=sinh(3x2 ln(1+3x)) Use chain rule for derivative: ddx(f(g(x))=f'(x)ddxg(x) And uv rule for…

Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: find the first & second derivative of fox)=e 2. Cosx.

A: Given: The function fx=x2excosx, To find: First and second derivative of given function fx.

Q: 24. What does it mean to say that dV is an exact differential?

A: What do you mean by dV is an exact differential.

Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = ln(cos(e3x))

A: Note ÷ I have used chain rule and product rule multiple times. Please look carefully.

Q: 1. Solve the first derivative of f(x) = e-2x In x at x = 0.5 using forward finite-divided difference…

A: To find the first derivative of the function f(x) = e-2xlnx at x = 0.5 using forward finite-divided…

Q: Y= In (In2 (1-x))re?

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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: 1. Find the differential equation of the family of circles of radius r whose centre lies on the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: x3+6x-2 dx x4+6x2

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Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

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Q: Use the chain rule to find the derivative of: cos(7 + 8x)

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Q: If the first derivative of y is -3.8025 sin(0.507 t) on the interval {0 <= t <= 24}, what are the…

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Q: (x² +SJ° In 14-X つ. dr

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Q: find a particular solution yp of the given equation. In all these problems, primes denote…

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Q: Find the third order derivative of y = In(cos(2x))". A. y' = -40sec²(2x)tan(2x) B. y' = -80sec…

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

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Q: Suppose x6 e-5y = In (xy). Find Y by implicit differentiation. dx

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Q: 1) Find the derivative of the function: (3х — 1)3 Vx* — 1 f(x) = cos² x

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

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: How are the derivatives of sin-1 x and cos-1 x related?

A: Given functions are sin-1x and cos-1x

Q: 11 with respect to x is The derivative of y = cos - 1

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Q: Compute the derivative of the given function. f (x) 10x-1/4 cos e + 7 sin a %3D -

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