alculate the derivative of the function. f(x) = (6.4x−4)−2 + (4.3x − 3)−2

Q: Find the derivative of the function. y = e-4x5 y' =

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Q: Find the derivative of the function.

A: We are given with the function g(x) and need to find the derivatives

Q: Find the derivative of the given function. 3-2х y = 3+2x

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

Q: Find the derivative of the function. y = 3x3 − x2 + 4x − 5

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Q: Find the derivative of the function g(x)=e^x/3−5x g'(x)=

A: Apply rule of u/v.

Q: Find the derivative of the function.  h(x) = − 1 / 5x0.5

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Q: Find the derivative of the function. g(x) = e-X + 3e2x - 2e-x + 11 g'(x) =

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Q: Find the derivative of the function. x2 + 3 y = x² – 3

A: Consider the given function y=x2+3x2-34

Q: Find the derivative of the function. y = x3x + 2

A: FORMULA Generalized power rule Product rule

Q: Find the derivative of y=-3/(t-2)4

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Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: Find the derivative of the function. y = x−9 + x−6 − 2

A: Given : y = x-9+x-6-2

Q: Find the derivative of the function. y =  x2 − 16 (x + 4)

A: Given, y=x2-16x+4

Q: Calculate the implicit second derivative of b(z)=(x-5)^2 find the value of b''(-1

A: find the second derivative of the given function

Q: Find the derivative of the function. Y=3x-7/8x+1

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Q: Find the derivative of the function. y = x2ex − 2xex + 4ex

A: Given function is Differentiating both sides with respect to x, we get

Q: Find the derivative of the function. f(x) = (2x − 2)4(x2 + x + 1)5

A: Important Points: [ A(x) B(x) ]' = A(x) B'(x)  +  A'(x) B(x)  [ xn ]' = n xn-1

Q: (3x+5) x* ² + 7 Find the derivative of v(x) = In x- 25

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Q: Find the derivative of the function. 8x -8x y = -8x Bx + e -&x 8e&_ 8e

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Q: Find the derivative of the function y = -9+ 3x.

A: We have to use chain rule.

Q: Find the derivative of f(x) = e2" (3a? - x)

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Q: Determine the second derivative of the implicit function  x2+2xy+3y2=2

A: x2+2xy+3y2=2 Differentiating with respect to x, we get…

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Consider the provided function, fx=4x+13x-6 Find the second derivative of the function and then find…

Q: Find the third derivative of the function y=e2xlnx.

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Q: Find the derivative of the function. h(x) = 14x16 + 4x8 − 2x5 + 19x − 5 h'(x) =

A:

Q: 9. Find the derivative of y = xe3-x (A)e3-x? (B) 0 (C) e³-x*(1– 2x?) (D)–2xe³-x² (E) e3-x*(1+ 2x²)

A: Given : y = xe3-x2

Q: Find the derivative. e5x y = e5x + 6

A: Given,          y=e5xe5x+6

Q: Find the derivative of the function. u(x) = (x² + 1)3³ ? - 1

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Q: Find the derivative of the function. t(x) = x2 − 8x3  / x

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Q: Find the derivative of y=x2(x3-1)5

A: The given function is: y=x2x3-15

Q: 1. Use the Power Rule and properties of derivatives to find the derivative of each function a) f(x)…

A: Here we have to find the derivative by using power rule and the properties of the derivative.

Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

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

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Q: 2. (- 2x Find the derivative of h(x) %3D 2x + 3

A: We have to find the derivative of the function: hx=-2x2x+32 We know that square of any negative…

Q: Find the derivative of the function g(x) = .5 3x + gʻ(x) =|

A: To find the derivative of the given function

Q: What is the derivative of y = √/x? 1x² X 2 2 1 X X 2 23

A:

Q: Find the derivative of the function g(æ) = (5æ² – 4x)e" - g'(x) =

A: →duvdx = udvdx + vdudx→dexdx = ex

Q: 2x Find the derivative of h(x) 2x + 3

A: Given:  Function  h(x)=-2x2x+32

Q: Find the derivative of the function. t(x) =  x2 − 8x3

A: Find out the function in t(x)

Q: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9. Solution.

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Q: f(x) = 2x² + 7x – 6. Find the first derivative of f(x) using the definition.

A:

Q: Find the derivative of the function. 5x -7 y = 2x+1 The derivative is y' =|

A: Consider the function; y=5x-72x+1

Q: Find the derivative of the function. y = (3x + 4)(x3 − 6x2)

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Q: Find the derivative of the function y= 4, 5x 3x+5 The derivative is

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Q: Find the derivative of the function g(x)=e^x/2+5x g'(x)=

A:

Q: 4. What is the SECOND derivative of the given function? * y = 3x³ - 2x² + x - √ y" =9x² - 4x + 1 y"…

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Q: Find the derivative of the function. y = x?/25 - x2

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Q: (x² + 4)(x – 2)² Vx +7 g(x) = In %3D Find the derivative of this function, g'(x).

A:

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

A: We will use Lebnitz rule to find the derivative Of g(x).