Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* + x3+ x2 + f'(x) =

Q: Find the derivative of f(x) = 2x/√x+1 if f'(2)

A: Given: fx=2xx+1 Formula Used: fg'=g.f'-f.g'g2

Q: Find the derivative of the function. A) f(x) = In(x*Vx² - 3)

A: This problem can be solved by using the Chain rule as explained in step 2.

Q: Evaluate the derivative of y = cos '2x - In 1-4x, where x = 0.125 -12> 2

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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: Find the derivative of f(x) = In(x² + 1) %3D

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Q: Calculate the derivative of f(x)=4x³ with respect to x and evaluate this derivative at x=2.

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Q: Find the derivative of: f(x) = (x3 + 2) In(x)

A: Consider the function

Q: find the derivative of f (x) at the designated value of x. f (x) = 1x at x = 1/16

A: Given: fx=1x To find the derivative  Differentiate the given function with respect to x we get,…

Q: f(x) = cos (x – a -2).

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Q: Let f(x)=," 1 Use the definition (first principle) to determine the 1-x derivative of ƒ(x).

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Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: Determine the derivative of f(x) = ( In x )6 with respect to x. f'(x) =

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Q: Find the derivative of the function. f(x) = 2x In(x) f'(x) =

A: Let us consider the given function as: fx=2xlnx By using product Rule of derivative, we get:…

Q: of n'(x)= 2x-1/x2-x

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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: Let f(x) = r - 3z2 - 1. Calculate the derivative

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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: Find the derivative of function.

A: We have given y=-2ln x3x-1. Differentiate both sides with respect to x. Use constant multiple rule…

Q: Find the derivative of f (x) = 1x , x = 0.

A: Given: f(x)=x at x=0

Q: 3) Find the derivative f(x) = xe-*In(x³) %3D

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Q: Determine the derivative of the following functions using chain rule. 3 * 1. f (x) = (2x² – 2x + 1)…

A: 1.f(x)=(2x2-2x+1)3 2. f(x)=5x3-8x2+9x-6

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 the function. f(x) = 5x2 + 4x + 5 O 5x + 4 O 10x2 + 4x O 10x O 10x + 4

A: Given f(x)= 5x^2+4x+5

Q: Find the derivatives using the four step rule: f(x) = 1-x2

A: Explanation of the answer is as follows

Q: Find the derivative of the function. y = x2 In x2

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Q: Find the derivative of f(x) = (2x^2-x-1)(sqrt of x) %3D

A: A detailed solution is given below.

Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: Find The derivaTive of f(X) = -x²+ 3X + 2 Using the de finiTion of the derivative

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Q: 2. f(x) = V-3x+ – 2

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Q: Let f'(x) = 100x(2x+3)(x-5), use the first derivative test to determine the location of the local…

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Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

Q: Find the derivative of f (x) = (x° – 4x (2² + - 8z – 2). %3D f' (z) =

A: We need to find the derivative of given function.

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

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Q: Find the derivative of f(x) = 9 sinh-' (x²) – 9 In ( Vx4 + 1). %3D

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Q: Find the derivative of f(x) = arctan x In(6x? + 6x – 4) - 12x 1 1 In(arctan(x)) + In(6x² + 6x – 4)-…

A: The given function is fx=arctanxln6x2+6x-4

Q: Use a quick approximation to estimate the derivative of the given function at the indicated point.…

A: f (x) = 1 − 2x  point,  x = 2 To use quick approximation to estimate the derivative, f'(2).

Q: Find the second derivative of the function. . f(x) = 4x3/2 : 1. g(x) = %3D X-1 .. h(x) = secx

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Q: Consider the function f(x) whose second derivative is f''(x)=2x+3sin(x). If f(0)=2 and f'(0)=4, what…

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Q: Find the derivative of f (x) = 5² In (x).

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Q: 1. Determine the derivative of: f (x) = 4x3 – x² + 5x + 9 %3D -

A: We need to find the derivative of the given function.

Q: Find the derivative of f(x) = 4Vx + +4. O 4 + In(x) 4 x3 O 2 2 .2 O 2-4 O 2/x 4x-2 | 2

A: Given function is fx=4x+2x. We have to find the derivative of fx=4x+2x. Differentiate fx=4x+2x with…

Q: Find the derivative of the function.

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Q: Find the derivative of f(x)= 11x^2 at x=1

A: Given:    f(x) = 11 x2  at x = 1

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: Find the derivative of the function. f(x) = 2x In 2x %3D

A: Given, f(x)=2xln2x To find the derivative of f(x).

Q: Find the derivative of f (x) = (x' – 6x) (x" + 2x - 5). f' (z) =

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Q: Find the derivative of f(x) = In2x 2 2z

A: We first use the addition property of logarithm.

Q: Calculate the derivative of the function below using the quotient rule. 9x y = 5x + 8 f(x) = and…

A: Given query is to find the derivative using quotient rule.

Q: In x g(x) = 2

A: