Find the actual error when the first derivative of f(x) = sin(2x) at x = 1/8 is approximated by the following 3-point formula

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 second derivative for the functions defined as follows g(x) = 4x(ln x)

A: We have to find second derivative of the function: gx=4x lnx Since two function are in product so we…

Q: Find the second derivative for the functions defined as follows.h(x) = x/ex

A: Given:             f(x)=xex

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: What is the first derivative of s(x) = 4e.

A: Given function - s(x) = 4ex-3Differentiating on both sides with respect to x - ddxs(x) =…

Q: find the derivative of y with respect to the givenindependent variable. y = θ sin (log7 θ)

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Q: Calculate the derivative with respect to x of the other variables 22) sin(xt)=t

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Q: find the derivative of y with respect to the appropriatevariable. = sin-1 (1 - t)

A: Given Trigonometric Expression: sin-11-t We can differentiate this trigonometric function with the…

Q: Find the second derivative for the functions defined as follows .p(x) = sin(x2)

A: We have to find second derivative of the function: px=sinx2 We know the formula of differentiation,…

Q: Find the derivative of each function at the specified value of x. (a) f(x) = sin(Te*), when x = 0

A: f(x)=sin(πex), x=0Formuladdxsin x=cos xddxex=ex

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

A: The given function is fx=xsinx+cosx.  The product rule of the derivative is :…

Q: Find the derivative, if y = (log x)" +(sin x)™* -x %3D

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

A: Given: y=π2sin θ

Q: Find the derivative of the following function with respect to x x = sinh2y

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Q: find the derivative of y with respect to the givenindependent variable.

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Q: Find the derivative of the function f(x) = 7x sin(4x).

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Q: sinh(3x) g(x) 3

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Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x)…

A: Find the derivative at the given point

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

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Q: Find the derivative for x+1 a)f(x)=- x-4 b)f(x)= sin' 2x Show the work on your notebook, take a…

A: (a) To find: The derivative of fx=x+1x2-4. Formula used: Quotient rule of derivative:…

Q: 5. y³ = 4(y + x²)

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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 first And 2nd derivative  F(x)= e^x sin4x

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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 following Function () y sin(x²) = x sin(y?)

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

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Q: find the derivative of y with respect to the givenindependent variable. y = log4 x + log4 x2

A: Given: By using logarithm base change rule, the function can be rewritten as follows,

Q: Find the derivative of the inverse function at x=1 for the function y=sin(x−1)+x2.

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Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

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Q: The derivative of xª at x = e is equal to .Soloot ono

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

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Q: If f(x) = = f'(x) = 3x (sin x + cos x), find f'(x). Evaluate the derivative at x = 4. Enter an…

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Q: 3. y²(x + 2y) = 8

A: The Solution is dydx=-y2(x+3y)

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

A: Given function is

Q: Q1: Calculate the 5th derivative of f(x)= (2x-5) sin x *

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Q: If f(x) = 4x(sin x + cos x), find f'(x). f' (x) = Evaluate the derivative at x = 5. Enter an…

A: First find derivative using product rule then put x=5

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: Find the nth derivative of the function y=xlnx at x=1.

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Q: Compute the second derivative with respect to r of 3x + 8 y = at x = 1.

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Q: find the derivative of y with respect to the givenindependent variable. y = log5 ex

A: On simplification, we get

Q: Find the equation of the tangent line to the function f (x) = e*²-1 ln(x + 1) when x= 0.

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Q: Find the first derivative or f(x) of the following functions using the techniques of integration.

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Q: 2. Determine the 8th derivative of y with respect to x of the function f(x) = 1 + x2 and find the…

A: fx=11+x2 Differentiate the above function with respect to x. f'x=ddx11+x2=2x1+x22 Again,…

Q: Find the derivative of the fx and evaluate the derivative at the given value of a. f(x)=(sin…

A: Given that, f(x) = (sinx) ln(10x) a = π2 We have to find the derivative of f(x) at point a.

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

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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: Find the derivative of the function f(x) = sinh 9x

A: