Find the derivative of the function  g(x)= (3x-2)2 (4x+5)3 Show all work and circle answer.

Q: Find the derivative of y = x3 – 6x², using first principle.

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Q: Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Given f(x)=(1+2x2)(x-x2) By Product rule,…

Q: Find second derivative of f(x) =6x^2+7x+1

A: We have to find second derivative of  f(x) = 6x2+7x+1 Then , f'(x) = 12x + 7

Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

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

Q: Find the derivative of the function g(x) = sech2 3x

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Q: Find all relative extrema of the function f(x) = x4 - 4x2 + 2 by using the Second Derivative.

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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 (x^3 + 2x) / x^2 + 3x + pi^2

A: for f(x)=xn derivative of f(x) is f'(x)= nxn-1 derivative of a constant is always 0.

Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

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

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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: A Find the derivative using the three-step rule. 1. y = 11-9x

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Q: Find the derivative of y = x2-1/2cosx

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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 f(x) = (2x+1)³(3x - 1)³. Show all your work and factor the result completely

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Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. 5) f(x) = 2x2 at x 1 %3D

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Q: Find the derivative of function defined as follows.

A: Given the function: y=-100x-11x23

Q: Find the derivative of function (x+2)² (x – 1)3* f(x) -

A: f(x) = x+22x-13f'(x) = x-13×2x-2-x+223(x-1)2x-16f'(x) = x-12x+22x-1-3x+2x-14f'(x) = x+22x-2-3x-6x-14

Q: Find the derivative of y=7tan^-1(x-(sqrt(1+x^2)

A: Chain rule:

Q: Find the derivative of the function y=x2+3x+1x without using the quotient rule for the derivative.

A: Given: y=x2+3x+x we know that ddxxn=nxn-1

Q: find the derivative by using the definition of a derivativef(x)= the square root of x+1

A: We need to find the derivative using the first principles (without appealing to any standard…

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 derivatives of the function f(x) from the first principle x*+4

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Q: Find derivative of y= x(3x-1)5

A: Use the product rule to differentiate the given function with respect to x…

Q: Find the derivative of the function f(x)=x-2/2+x square root

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Q: Find the derivative of the function. y=4arcsin(x/2)-xsqrt(4-x^2)

A: Here given  Use the product rule of derivative which states  Also, use the formula of the…

Q: Compute the derivative using derivative rules.      y = (x 3 + 3x + 9) -4/3

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Q: Find the derivative of function defined as follows. y = 6x2 - 10x - 3x-2

A: For a function f its derivative is denoted by f'(x). The definition of f'(x) is limh→0f(x+h)-f(x)h.…

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

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Q: Find the derivative of the functron. Simplify and express the answer anly. using positive expenents…

A: In this question the given function is y=(x2-5)3x2+3 we have to find y' In positive exponents only

Q: Find the derivative of the function f(x)=2x−73x−2 at x=2

A: topic - derivative of a function

Q: What rule should be used in getting the derivative of y=(1−x^2 )^6

A: What rule should be used in getting the derivative of y=(1−x^2 )^6

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

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Q: Use the the derIva tive rule to find derivative of Y= 2x3 -1 X-1 メ 6x -5 X² +1

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Q: Find the derivative of g(x) = 6 + 8x4 at x = 1. ANSWER: g (1) = (Again, your final answer should be…

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Q: Find the derivative of the function ° (2x + 1) f(x) = In x2 – 3 -

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Q: Help to find the derivative of f(x)=1/3x.

A: The given function is fx=13x

Q: Find the derivative of the function. y= 2^(3-x^2)

A: Given function

Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: Find the derivative of f(x) = (5x 2 + 3x + 1) × (3x 2 + 2x − 1) × (x 2 − 1). Show all steps.

A: Given:f(x)=5x2+3x+13x2+2x-1x2-1

Q: Find the derivative of the function y = arccsc 2x2

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Q: Find the derivative of the function.

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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)= 11x^2 at x=1 please use definition of derivative formula

A: Given :   y = 11x2    at x =1

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

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

A: We first use the addition property of logarithm.

Q: ***** Find the derivative of the function. Express the 2+3 f(x) 4- x2

A: The function is in the form of u/v. Kindly follow the attached imaged.

Q: with positive exponents only

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Q: Find the derivative of the function y=(x+4)3 without using the power rule.

A: Given function is y=x+43. To find the derivative of the function without using the power rule.…