Find the first derivative of e O - (3x+2)e-³r x3 O (3x+2)e-31 x4 O(x-2)e-³x x3 O- - (3x²+2)e-3x x3 -3r x²

Q: The first derivative of f(x) = (5x – 6x)-3 will be.

A: Solution of first derivative

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Q: Express the following in the form In(x + a) + ln(x − a) + ln(x² + b), with a, b = N: In(x¹ − 1) = |…

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Q: r(x) = [(3x-2)/(2x)], find r '(x) O O [(3)(2x)-(3x-2)(2)]/2 O [(3)(2x)-(3x-2)(2)] / x²…

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Q: What is the derivative of y= 5x² + 10x+5x-3, A None of the given choices (B В 10x + 10 – 15x-4 © 5x…

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Q: (x³ - x) dx 3 -1

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Q: IF X' + ㅗ X² 970 + then (x-2)(x-4) (x-4) (x-8) = ?

A: If Find the value

Q: If fix) = 4x and g(x) = x + 9, find (f o g) 'x) and g" '(1 'x). (fo g)" 'x) =D

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Q: f(x) = (-x³ – 2x)e*+2 f'(x) =?

A: Given: f ( x ) = - ( x3 + 2 x ) ex+2          To Find: f' ( x )

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A: Given that -      fx=3x-2x25+4x     f'x=?

Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

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Q: g(*) = ln (-3x+11) %3D calculate (X), A) 2(-3r +11)-3 B) -3(-3r + 11)-1 C) -54(-3r + 11)-3 D) -9(-3r…

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Q: The first derivative of f(x) = (5x* – 6x)-3 will be 18 – 60x3 18 – 60x³ А. (5x4 — 6х)-4 В. (5x* —…

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Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

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Q: x' fx -5-0

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Q: Find the inverse of f (x) = Vx +3-2. %3D Of () = (2-3)² + 2 Of (x) = -20? - 3 Of (2) = (#+ 2)- %3D…

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Q: (е2х-1)2 dx е 2х

A: topic - indefinite integral

Q: Find the linear approximation of f(x)=√x when x = 81. 1 108 O L(x)=3+ -(x-81) OL(x)=81+ 1 108…

A: We have given function  fx=x4 Put x=81 f81=814=344=3 Linear approximation at x=a is given as…

Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

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Q: Evaluate (*(x-2) (х-1)3

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Q: If h(x)=2-4/3x given the equation for h-1(x)

A: The definition of h-1(x) is h-1(x)=1/h(x)

Q: Find the inverse function of y = (2x-1) (x-1) fx) = -1) 2x f(x) =2* fx) = (x+1) 2x (х-1) fx) = (x+1)…

A: Inverse of the function

Q: Ify= (x³ + 1)“ , theny = ? (A None of the given choices B(3x2)? © 2(x³+ 1) O 6x²(x³ +1) E 2(3x² + 1)…

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Q: Find f'(x) if f(x) = ln( -(2²+12x+12) (x+6)(x²+2x) -(x+6) (x²+12x+12) (x²+2x)³ x²+2x x+6 -x(x+2)…

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Q: る(4xナx)(10x2+x2-2

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Q: Find the first derivative of -5x²+2x-5 210x -5x²+2x-4 ебх о о 5x2-2x+5 P5х 2 x2+1 e5x

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Q: (x+1)(x³-2x²-x+2)*/x*(x8=4x++4)² dx equals x2-x-2

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Q: 3x'e* (x* +1)* 3e a) -+C 2(x² +1) 3e* b) 2(x² +1) +C x? +3 x +1 3 c) +C .2

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Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution (step by step using chain rule and product rule)…

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