The 2nd derivative of the function x = Ci cosot + C2 sin ot with respect to t is

Q: Find the derivative of the given function. f (x) = sin(ln x)

A: The given function is fx=sinlnx We have to find the derivative of this function.

Q: y = Vx sin-1(x)

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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: The derivative with respect to X .2 y = x sin-'x + V1 – x²

A: Given:               y=x sin-1x+1-x2 Differentiate with respect to x           ddxy=ddxx sin-1x+1-x2…

Q: Find the derivative of the trigonometric function.

A: Given :           h(x) = sin 2x cos 2x   To find h'(x)

Q: Find the second derivative of the function. f(x) = cos(2x?) f "(x) =

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Q: The derivative of f(x) = 5x – Vx + (sin)x – e² -

A: Given; f(x)=5x4-x1/3+[sin(π/2)]x-e2

Q: The derivative of the function y = sin-1(e* – In x), where Je – In x| < 1, is:

A: Recall ddx(sin-1(x))=11-x2 ddx(ex)=ex ddx(ln(x))=1x

Q: Find the derivative of the function. f(x) = V4 +x sin x 4+x sin x = dx

A: Derivative of the function is given below

Q: Use forward-difference formula to evaluate the first derivative of y = sin(x) at x = O 2√2 π -2√2 ㅠ…

A: Given that y=sinx. We have to find the first derivative of y=sinx at x=π2 using a value of h=π4 by…

Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

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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 with respect to x: y = tan(Vx2 – 1) + csc-(x),x > 1

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Q: What is the third derivative of f (x) = a + cosæ?

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Q: Find the First Derivative of the Given Function: 2.) x=sec53t

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Q: Find the derivative of the function R = sin(7t

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Q: The derivative of the function 3+ln x is: y = cos(In x)

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f…

Q: Determine the first derivative of the ff. function y = Vxe2* cos x

A: Derivative of a function gives the tangent of the curve at a given point. Derivatives are used to…

Q: Find the derivative of the function. y = x/2 − sin 2x/4

A: Given function is y=x2-sin2x4 We have to find derivative of given function. Differentiating the…

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: Find the derivative of the given function f(0) = sin' 0 3

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Q: Find the derivative of f(θ)=(sinθ/1+cosθ)^2

A: differentiate wrt theta

Q: В. f(x) = (sin ebx³ ). 3 |cot(26x) x4 -

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Q: Find the derivative of the function r? In 4y y sin4

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Q: tan (2x) 3. y = sin (5x–1)

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Q: Find the second derivative of 1. F(x) = tan(2x) 2. F(t) = e^t sint

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Q: find the second derivative with respect of ds s+a

A: Please see the solution below.

Q: Find the derivative of the function. f(x) = sin (4x) %3D

A: To find the derivative of the function.fx=sin-14x

Q: Find the second derivative of the function f(x) = sin x2

A: Given f(x) = sin x2 To find d2f(x)dx2

Q: Find the derivative of the (e) h(x) = e5 sin (Væ) + a° sec ()-

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the derivative of the function sin(x) In(6+4v) dv cos(x) y y'(x)=

A: The given function is,

Q: Find the derivative of the given function. t q= tan Vi+2 dq dt

A: The following formulas of differentiation can be used to solve the given derivative. i d dttan…

Q: Find the second derivative of the function. f(x) = sin(9x?) f "(x)

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Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)

Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

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Q: Find the 10th derivative of y = cos 3x. f(10)(x) =

A: Given, y=cos3x

Q: Find the second derivative, y" for the function cos(y) + sin(x) =1 by implicit differentiation. %3D

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Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

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Q: Find the derivative of the function f(x)=(x²+e* + sin x)*.

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Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM х 1. y= Arctan- 3-V9-x²

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: What is the derivative of the: y = (1 + cos2 x sin x2)3/2

A: Given: y=1+cos2x sinx232 differentiate with respect to x, dydx=ddx1+cos2x sinx232dydx=321+cos2x…

Q: f(t) = sin²(e in²s) %3D

A: Given : ft = sin2esin2t

Q: Find the derivative of y with respect to x. 58)y tan (In 2x)

A: Firstly, we use the result that  derivative of inverse of tan of x is 1/1+x^2

Q: b) y = cosh(2Vx+1)

A:

Q: Find the second derivative of f(t) = ln(sin² (t)).

A: Given data: The given function is f(t)=ln(sin2(t)). The expression for the first derivative of the…

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

A: Given :y=θ(sin(ln θ))+ cos ln θ dydθ=θcos ln θθ+sin ln θ-sin  lnθ θ      =cos ln θ+sin ln θ-sin  lnθ…

Q: Find the derivative of the function. y = cos sin(tan(9x))

A: The function is given by y = cossintan9x

Q: Find the derivative of the given function 1+ sin(3 f(x) = ( V + 1

A: To find the derivative of the given function  Use formula of  Derivative of u/v  = { u'v - u v' } /…

Q: Can you help me step by step?

A: Given function,

Q: Find the derivative of y = [A 0 tan Od0. sin x

A: Then substitute it in dy/dx and use chain rule Write the integral as two parts: