If you use the two-point central difference formula with h=0.1 to approximate the derivative of f(x)=1/x at x=2, then find the approximated value of f′(2) in a four decimal rounding.

Q: In the given question/s , find the derivative of the function.   f (x) = ln(x -1)

A: To find the derivative of function f(x)=lnx-1 differentiate both sides of the function with respect…

Q: find the n-th derivative of f(x). f(x)=e^-2x

A: Given function is fx=e-2x. Chain rule of differentiation states that: ddxfgx=f'gxg'x Now, we find…

Q: Solve for the 4th derivative of function K K= x3Cos√x

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Q: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

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Q: Find the derivative of the following function. 3x f(x) = e X+5 3x dx -*+5

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Q: L(x) = In(x)+log,(x)

A: Used formulas : ddx(logax) = 1x ln a ln x = loge xloge e = ln e = 1ln 5 =1.61

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: Determine the first derivative of the ff. function y = ln| le* – 1/

A: We have to find the first derivative of the function: y=lnexex-1 We know the property of logarithm,…

Q: Find the actual error when the first derivative of f (x) = e-2* at x = 1 is approximated by the…

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Q: Find the derivative of the function.

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Q: Find the derivative of the function f(x) = ln(e" + 5).

A: We have to find the derivative of the function -          f(x)=ln(ex+5) Here , we will use the…

Q: Find, or approximate to two decimal places,the derivative of the function f(x) = ex sin x at the…

A: fx=ex sinx By using graphing utility, we get

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

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Q: Use three-point midpoint formula to evaluate the first derivative of y = x – 4 at x of h = 5. O…

A: Find the first derivative of y=x3-4 at x=0 using the three-point midpoint formula with h=12.

Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: For what values of x is the derivative of the function Vx2+ Vx equal to 1?

A: Given,           The derivative of x23+x3 equal to 1.

Q: 26 Find the 155th derivative of (1 + x°)" at x = 0.

A: see 2nd step.

Q: Find the derivative of y with respect to the independent variable. x8)n 5) y =log 5 x-8

A: using the fact of logarithmic  logax=lnxln(a) find the derivative

Q: compute a formula for the nth derivative of f(x)=e2x

A: We have givenWe have to find a formula for nth derivative of f(x)

Q: 1. Find the derivative of the function f (x) = e2x + 5* + x3

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Q: Find the derivative of the function y = In(8 – e-a f'(x) =

A: We have to find derivative

Q: find the derivative of y with respect to the givenindependent variable. y = log2 r . log4r

A: Recall the properties of logarithms:

Q: Find the derivative of f(x)=(x+4)e^(5x)

A: We have to find the derivative of f(x) ,where f(x) is given by

Q: How to solve the derivative of this

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Q: 4) Find the third derivative of g(x) = e*.

A: We will solve the problem

Q: find the first derivative of   F(x) = e(x+5)

A: Given,

Q: What is the first derivative of s(æ) = 4e"*.

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Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

Q: Find the derivative of y with respect to x. y=log(base)5 e^7x

A:

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

A: given  fx=lnx f'x≈fx+h+2fx-3fx-h4h to find the actual error

Q: 1. Apply the different rules for differentiation in finding the first derivative of the following…

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Q: f(x) = e*

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Q: Find the derivative of the following function, 1 f(x) = e* + In(x). x² -

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Q: Find the derivative of the following: 1. y=x(VT- x³)

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

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Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

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Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

Q: Give the derivative formula for the function. (x)2 In x -e j'(x)

A: Consider the given function.

Q: 11.Find the derivative of the functions: a) f(x) = In(9x²2 – 3x) b) g(x) = In(ln x)

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Q: Find the derivative of the function. h(x) = ln(2x2 + 1)

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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: The graph of a function is shown together with the tangent line at a point P. y 5 4 3 2 1 2 3 4 6. 7…

A: topic- tangent

Q: Find the derivative with respect to x of h(x) = e2x²+6 In(x).

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Q: Monday, 1) Find the derivative of the given function with respects to e y = 3lan® In 3

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Q: Find the derivative of the function f(x) = (4x? – a – 4)* at x = - 1. %3D f'(-1) = Pr

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Q: Find the derivative of the function f(x) below. f(x)=ln(5−e^(−4x)) f′(x)=

A: Explanation: Given that, f(x)=ln(5-e-4x) Differentiate both sides with respect to x.…

Q: Find f’ (x), i.e. the first derivative of the question below f (x) = (x - 4) (x – 1)

A: Topic:- derivatives

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

A: