Find the derivative using the Four-step rule f(x)=x/1-x

Q: Find the derivative of the function f(x) = (In x)°.

A: Given that,             f(x) = lnx3 Differentiating with respect to x, we get                  f'(x)…

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

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Q: Find the derivative of the function by using the rules of differentiation. f(x) = −5x2

A: The power rule of differentiation states that the derivative of ddxxn=nxn-1. The main objective is…

Q: Compute the derivative using derivative rules that have been introduced so far. y = (x 4 + 5)3

A: Given equation is y=x4+53 Applying derivative with respect to x: dydx=dx4+53dx Using the power rule…

Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Compute the derivative using derivative rules. y = 4e -x + 7e -2x

A: Given:     To determine: derivative of the given function

Q: Find the derivative of f(x) = (Cosx)*

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Q: Find derivative using product or quotient rule

A: f'(x)=((x2)'(x+3)(4x-1)-x2((x+3)(4x-1))')/((x+3)(4x-1))2       (Using quotient rule)…

Q: f(x)=x² -3x.

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Q: アミx2 (-2x) ソ=x

A: topic - derivative

Q: Find the derivative using DELTA METHOD f(x)= 2x-x2

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Q: Find the derivative of f(x)= √8-x

A: We can solve using chain rule of derivative in order to solve the given problem.

Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

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Q: Find the derivative of the function:  f(x)=x^2lnx

A: consider the given function:

Q: Find the derivative of the function. y- tan-(V-8

A: In this question, we need to calculate the derivative of the given function.

Q: Use the Quotient Rule to calculate the derivative. f(x) = x/ (x -2)

A: Given function is fx=xx-2. To calculate the derivative of the given function using quotient rule.…

Q: Find the derivative using the long method y = sec x

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

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Q: Find the derivative of f(x) = xcosx. 7.

A: Find the derivative of the given function.

Q: 3 f(x) :

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Q: Use the limit definition of the derivative to find the derivative of f(x)=x^2+x

A: Please refer the attached image for complete solution.

Q: Compute the derivative using derivative rules  y = (x2 + 9x)- 2

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Q: Find the derivative of the function using the definition of derivative. f(x) = x4 f'(x) = %3D

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

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

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

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: Find the derivative using the first principle  F(x)= (x-1)(x-2)

A: Given F(x)=(x-1)(x-2) To find the derivative using the first principle From the first principle, we…

Q: Find the derivative of f(x) = (x2-ex) tan x

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

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Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

Q: Find the derivative of the function by definition. 1- V2x+3

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Q: find the derivative of the function using the techniques of differentiation:f(x)=x^2+3x+ ^3sqrt(x)

A: Given a function in x, f(x) as shown below. We need to differetiate f(x) with respect to x.

Q: 1-x3+2Vx f (x) =

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Q: Find the derivative of the function f(x) v4-x by definition

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Q: Find the derivative of the function f(x)=1/x using limit definition derivative

A: According to the given information it is required to calculate the derivative of the function using…

Q: Find the derivative of f(x)=x2-3x. Use the result to find the slope of the tangent line to the curve…

A: Given: fx=x2-3x To Find: The derivative of the given function and the slope of the tangent line at…

Q: f(x)= x f(x)= xZ

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Q: Find derivative using product or quotient rule

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Q: Find the derivative of the function using the definition of derivative. 1 f(x) V5 + x

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Q: Find the derivative of f(x)=sec(x)

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Q: Find the derivative of the function f by using the rules of differentiation. f(x) 6x2 = -X +

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Q: Find the second derivative of the function f(x) = sec2x

A: Given: f(x)=sec2(x)

Q: Find the derivative of the function f(x) = v4-x2 by definition

A: The given function is f(x)=4-x2 The definition of the derivative is given by: If a function f(x) is…

Q: 5+x f(x) = 3—х

A: Solve the following

Q: Calculate the derivative of the function y=x2−x−1x without using the quotient rule.

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Q: Find the derivative using the definition 1- y = vx -1

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Q: Find the local extremes of f (x) = x³ +2x+ using the first derivative test.

A: Given,         The local extremes of fx=x3+34x4 using the first derivative test.

Q: Find the derivative. f(x) = 4cosx + √x

A: Given function is fx=4cosx+x. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: function

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Q: Estimate the derivative of the function f (x) =: -3 at the point a = 3.

A: The function is given by fx=x3-3 differentiate the above function w.r.t "x" f'x=ddxx3-3…