Calculate the derivative of f1 (x) = (2x + 3) / (x - 5) using the definition of the limit of the rate of variation

Q: 1. Find derivative of given function defined as follows. y = (8x²-3x³) ³

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Q: Find the derivative using the chain rule: x(x^2+1)^(-1/2)

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Q: Find the derivative of the function by the limit process. f(x)= 2/x2

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Q: Find the derivative of the function using Chain Rule. h(x) = (2x-6)-¹ (x²+3)

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Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x - 5 at x = 0 using…

A: Given function is y=x2+4x−5. We have to evaluate the first derivative of y=x2+4x−5 at x=0 using a…

Q: 2. If the derivative of an accurately determined function is replaced with a finite difference, how…

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

Q: 2. FIND THE DERIVATIVE BY THE LIMIT PROCESS OF f(x)=x²-6x+5.

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Q: 2. FIND THE DERIVATIVE BY THE LIMIT PROCESS OF f(x)=x³-8x+9.

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Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: Find the derivative of f (x) = x at x = -4 algebraically. f' (-4) =

A: f(x)=x3 Find f'(-4)

Q: 2. Find the derivative of f'(x) if ƒ(x) = x*+3x-V x2+x

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Q: 4. Find the 2nd derivative of f(x)=14-x (x)%3D

A: The give function is fx=4-x

Q: Find the relative maxima and minima of y by the second derivative test:    y = 2x / 1-2x

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Q: Find the derivative of the function x +5 g(x) = 2, X +6x

A: Given function is, g(x)=x2+5x2+6x  Quotient rule of derivatives is, If f(x) and k(x) are functions…

Q: Find the derivative of f (x) = 9x − 5 at x = 2 and x = 5.

A: The derivative of a function f(x)  at a point a  can be calculated by applying the value a   to the…

Q: How to find the critical points of this derivative

A: We have to find critical point of f(x),where f'(x) is given by:

Q: find the derivative of f (x) at the designated value of x. f (x) = x3 at x = 12

A: The derivative of a function can be calculated by differentiating both sides of the function with…

Q: 2. f(x) = x2– 5x + 6 at x 2 --

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Q: 1.f(0) = (금x* + 3)" %3D

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Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

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Q: How do you find the derivative of the sum of two functionsƒ + g?

A: we have to determine how to determine the derivative of the sum of two functions that is f+g.

Q: 2. Determine the true error and relative true error when approximating the derivative of f (x) = -x²…

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Q: Calculate the derivative of f1 (x) = (2x + 3) / (x - 5) using the definition of the limit of the…

A: To find- derivative of the given function using definition  of limit.

Q: Determine the second derivative of f (x) = x²e* at x = -2 with a step-size of h=0.50 using Central…

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

Q: Example 4:- By using the four steps rule, find the derivative of the function f(x) = Vx + 2

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Q: find the derivative of f (x) at the designated value of x. f (x) = 1/x at x = 2/3

A: Given: f(x)=1x To find the derivative at x=23

Q: Find the relative extrema of the function f(x)= x2+3x+4 using first derivative test.

A: fx=x2+3x+4 To find extrema of function.

Q: Find the derivative of f(x) = 6* – 3* + In x -

A: Differentiate: fx=6x-3x+lnx

Q: 1, Find the first and the second derivative of f(x): f(x)=x

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Q: find the derivative of f (x) at the designated value of x. f (x) = x5 at x = 3/2

A: Given function is: fx=x5 We have to find the derivative of f(x) at x=32. Then we get,…

Q: 3. Find the derivative of f(x) = x2020 – 2019.x" – 7x3 – 9x + en".

A: To Determine: Find the derivative of f(x)

Q: Approximate the derivative of f(x) = x² + 4x + 5 at x = 3 using the forward, backward, and central…

A: f(x) = x2 + 4x + 5 h = Δx = 2 xi = 3         f(xi) = 26 xi+1 = 5          f(xi+1) = 50 xi-1 = 1…

Q: 2. f(x) = V-3x+ – 2

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Q: 1 Find the derivative of (Vx-3x) x+= X

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Q: 3 Determine the 3rd derivative of the function f(x) = 2√√x-x³

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Q: Find the derivative of the function by the limit process. f(x) = x2 + x − 3

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Q: Find the derivative of the function using Chain Rule. Given f(x)=(x²+x-3)√√x²+x-3

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Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

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Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x %3D

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Q: Calculate the derivative of f1 (x) = √1−2x by using the definition of the derivative as the limit of…

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Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

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Q: 5. f(x) = [(x + 5)5 – 1]4

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Q: 2) Find the derivative of g(x) = 4x^2−3x+5 using the limit process.

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Q: Find a function with the given derivative whose graph passes through point P f'(x)=1/x+2, x is…

A: The derivative is given as

Q: 2) Find the derivative of the function f(x) = 3x² by definition

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Q: Find the derivative of the function by the limit process. f(x) = 5 − 2/3 x

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Q: 4. Find the 2nd derivative of f (x) = 4-x x)%3)

A: To determine the second derivative of the function given by; f(x)=4-x Differentiate the function…