Find the derivative of the function. y = 4x e -2x – 4 e x5

Q: e) f(x) —D е** x2 e*Inx- 2

A: Given function to differentiate  fx=ex2lnx-x22 The rules used here for differentiation are 1.Chain…

Q: Find the derivative of the function y= 6e 4x 3x+4 The derivative is

A: Please refer the attached image for complete solution.

Q: Find the derivative of the given function. 275 y= 22+4 e -3x %3D

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Q: Find the derivative of the function. y = x?e* - 2xe* + 9e* y' =

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Q: Find the y ( the fifth derivative ) of y =D x5

A: y=2x5⇒y=2x-5 Differentiating with respect to x, we get y'=2-5x-6     ∵dxndx=nxn-1=-10x-6 Again…

Q: Find the second derivative of the given function. y = 4x2 + 5Vx + e*

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Q: Find the third derivative of the given function g(t) = Square Root of 5t+3

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Q: Find the derivative of the given function. y= 2x°-8x +16x+4 dx II

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Q: xArctanx - Invx2 + 1 = y y = (e3x+4 +2)/(e2+3x +1)

A: To find the y'' of the given function , we use chain rule for differentiation.

Q: Find derivative of the following function. 7x -7x + e y = X

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Q: Find the derivative. (e^(x^3+1))^4

A: Given :

Q: Find the derivative of the function. y = x?e* – 2xe* + 4e* y' =

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Q: Find the derivative of the function

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Q: 19. D 20. 21. y = x + 1

A: We have to find derivative

Q: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

Q: Find the derivative of the function g(x) = (2a? – x + 5)e"

A: Our Aim is to find the derivative of (2x2-x+5)ex.

Q: Calculate the derivative of the following function. 4x y = e **(4x- 1)9

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Q: Find the derivative of the function. h(x) = e2x2 - 7x + 3/x %D h'(x) = ||

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Q: Find the SECOND derivative of the given function. (b) g(x) = x+2

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Q: e Find the derivative of the function g(x) = 2+ 3x g'(x) =

A: See solution below

Q: Determine the derivative of the given function: ソ=c 3 y = e x2

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Q: Find the derivative of the function. - 5x - 4 e to y=xe dy dx ||

A: Finding the derivative of the function

Q: Find the derivative of the given function.   y=x+42

A: To determine the derivative of given function.

Q: Find the derivatives of the functions y = (x2 - 2x + 2)e5x/2

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Q: Find the derivative of the function. 76 y = Vx - X y' = O

A: We know ddxxn = n·xn-1 xab = xab x-a = 1xa

Q: y = e(-x2+3x-4 )

A: Given: y=e-x2+3x-4

Q: Find the third derivative of the given function. o1) = ()2 - 3)* g"(t) =

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Q: Find the derivative of the function Y= x^11e^x Y’=?

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Q: Find the derivative of the function w=e^(−5t)^5

A: We have to find derivative of w(t) with respect to t,where w(t) is given by

Q: xVx? +1 y = (x +1)

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Q: Find the derivative of the given function. y = x-5x +5) y = (x² - 5x + 5) e 6x 15 dy dx

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Q: Find the second derivative of the given function. y= 4x+9x %3D dx

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Q: Find the derivative of the function. e7x - e-7x y = 7x -7x + e

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Q: Find the derivative of each function of y = e5x

A: We have to find the derivative of the given functuon y=e5x

Q: Find the derivatives of the functions y = (1 + 2x)e-2x

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Q: Find the derivative of the function. 1 s(t) 2+ 6t - 5 s'(t) =

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Q: Find the derivative of the function. y = xe¬x8 y' = (1 – 8r*) e=*

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Q: Find the derivative of the function. f(x) = (7 − e−2x)6   f '(x) =

A: To determine the derivative of the function.

Q: 5. x= y= t2-1

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Q: - 7x Find the derivative of the function y =e sin 3x.

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Q: Find the derivative of the function.

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Q: Find the derivative of the function. g(t) = t2 ln(e2t + 9)

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Q: Find the derivative of the function. x11 + 2 y = e y' =

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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 following function. 3. 一 2 +2x 2 y3 5x +x°-2 y' =D

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Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of…

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Q: Find the derivative of the function g(x) = (4x2 + 2x – 3)e

A: g(x)=(4x2+2x-3)ex

Q: Find the derivative of the given function. e5x (2x+1)5 f(x) = In Vx2+1

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Q: Find the derivative of the function.   y=3e^8t+3

A: Given function;   Taking the first derivative;