Find the derivative: 3.-3x < 二X

Q: f(x) = xe*

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Q: Use formulas (1) and (2) and the power rule to find the derivatives of f (x) = -2x

A: To find the derivative of: f(x)=-2x Solution: f(x)=-2xOn differentiating both sides w.r.t x we…

Q: y = x²e²_2

A: applying chain rule as well where needed to apply

Q: Give 3 expressions that have the following as a derivative. x) +x²

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Q: In the following, find the first derivative: 13. y (3-x)(x -x + 1) 14. y = (x - 1)(x %3D

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Q: Use the quotient rule to find the derivative, h' (x), of the following function. 3x h(x) = 8 - 5x

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Q: f(x) =

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Q: Use the power rule to find the derivative of f(x) = x – 14

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Q: Find the derivative. y=xtanh¬12x

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Q: Find the derivative.   y=6xe^x^5

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Q: Take the derivative of y = (7+ x)" 7+x)²

A: 7+x7+x2' Apply exponent rule:   ab=eblna=e7+x2ln7+x' =e7+x2ln7+x7+x2ln7+x'…

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

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Q: Find the derivative. y=(5√x)/(8)

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Q: Take the derivative f(x) = x3cosx

A: Given :            fx=x3cosx

Q: Use the Quotient Rule to calculate the derivative. 4x f(x) = 4х — 9

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Q: Find the derivative of f(x) = 12e* + x°.

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Q: take the derivative. g(x) = sec' x-(x° +3)

A: Our Aim is to take the derivative of g(x)=(sec3 (x) (x5+3)) -(i)

Q: Y= 3xé

A: Given query is to find the derivative of the expression.

Q: Use the product and/or quotient rule to find the derivative. f(x)=(3x+5)(2x−1) what would f'(x)…

A: Given that the function is

Q: compute the derivative f (x) = 9e−4x

A: Consider the function f (x) = 9e−4x

Q: What is the derivative of f(x) =,csc 2x 2

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Q: Find the 19th derivative of the function y=x20 – 4x19

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Q: Use the quotient rule to find the derivative of the following.

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Q: Use the quotient rule to find the derivative of the following.

A: To find derivative: y=x2-4xx+3 Solution: We know, quotient rule of differentiation is given by:…

Q: take the derivative. бх —5 y = - x² +1

A: Consider the given function as y=6x-5x2+1

Q: By definition, find the derivative: f (x)= Vx

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Q: Evaluate the first derivative of the function below at (1, -2). 3x4y² - 7xy³ = 4 - 8y

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Q: h(x) = 4x/1-2x

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Q: -4 c) f(x) = In

A: Given query is to find the derivative of the expression.

Q: Find the indicated derivative and simplify. 21x f'(x) for f(x) = x2 - 2 f'(x) =

A: f(x)=21x3x2-2 Note:   Multiple questions are given we are answer with only one question.

Q: -4 y = x2iy(3)

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Q: Find the derivative of the function y=x22+x33+x44.

A: Known fact: ddxxn=nxn-1ddxf+g=dfdx+dgdx

Q: Let ƒ(x) = x2, Find the derivative

A: ddxxn=n xn-1

Q: Find the derivative: y = (4 – x)(x³ – 2)

A: Given y=4-xx3-2

Q: Find the derivative of the function g(x) 2 sech 8x.

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Q: 2x-5 f(x) = 3x +x

A: Let's find.

Q: Find the derivative of f (x) = 2xº – 25 + 4.

A: Given, The function is f(x)=2x9−x5+4.

Q: For the implicitly-defined function, calculate the derivative with respect to x. + y74 = -6y ,3/4

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Q: take the derivative. 5 f(x) = x³ --

A: To Determine: find the derivative  Given: we have a function f(x)=x3-5x3 Explanation: we have a…

Q: Use the Product Rule or Quotient Rule to find the derivative. 9x 1 f(x) = %3D x2 + 3 Answer

A: on doing differentiation we get

Q: y=4²x

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Q: Find the derivative of the function. -x + 1 r(x) : = |(7x – 4)(x – 8) -

A: Given that a function r(x) and we find derivatives of r'(x) .   We know that d(xn)/dx= nxn-1.…

Q: Find the derivative.

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Q: Use the quotient rule to find the derivative of the following x - 9x + 5 y= X +7

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Q: 5x* f(x)=. x+1

A: Given,            f(x) = 5x4x + 1 + 2

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

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Q: (c) For y = 2x2 In(4x) – x², find y'.

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Q: Complete the table to find the derivative of the function without using the Quotient Rule.

A: Here given function as y=2xx13 Use the formula of quotient rule of the derivative.…