Find the derivative of (x+1)³ X A. B. C. D. (X+1)² X (x+1)³ X 4(x + 1)² 2(x+1)³ X X 2(x+1)³(x+1)³ X x³ 3(x+1)² (x+1)³ X x²

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: Given: fx=2x−1x2+3x2+1, and gx=x2+872−3x25 To check whether: f'x=4x2x2−1+2xx2+3−2xx2+12x2−1x2+3x2+1,…

Q: 4) Find the derivative from FIRST PRINCIPLES of √(x) = 2√x (You will need to rationalize the…

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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: Find the derivative of the following function. y = In(6x² – 7x) – 4x А) 18х? -7х x(6х* - 7) В) 1 - 4…

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Q: Find the derivative of f (x) = 3x2.e3x2 A 6x2. e3x2 + e3x² 3x2. e 3x² + 6x - e 3x2 ©) 18x3. e3x2 +…

A: Derivative

Q: Find the derivative of the following functions a) f(x) = 1 + x² + = 160 1x x6 I b) F(X) x4-3x+1 √x…

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Q: a) f(x) = x28 + e-x 2x + 13 b) h(x) = e³x³-4x²+2 + 5ln(x³3 -x+ eⓇx) c) y = x²2 (12x³ - 25x) 42

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Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: Problem 4: Find the derivative (f'(x)) of a) f(x) = (x² − 3x)(7x+15), b) f(x) = = x-5 x²-x+7

A: Given f(x)=(x2-3x)(7x+15)DIfferentiate…

Q: Find the derivative of y sin ¹(3x) x sin ¹(3x)-3x√1-9x²-9x² sin ¹(3x) x² (1-9x²) sin…

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Q: The derivative of flx)= - 3x -2x? is 5+ 4x

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

Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) =…

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Q: 2. Find the derivative of each of the following functions: y = x¹2 (i) (ii) (iii) (iv) y = 3x ¹ y =…

A: 1) y=x12Differentiate w.r.t.'x'dydx=ddx(x12)We know thatddx(xn)=nxn-1Thereforedydx=12x11

Q: Find the derivative of the following with respect to the given variable 3. 6x (2x-5) 4. (3x - 4x)…

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Q: Compute the derivative of f(x) = (x² + 3)e7x+5. O (x² +2x+3)e7x+5 O 14xe7x+5 O (7x2 + 14x + 21) e7+5…

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Q: 1)y = (8 + 7x³) 2)y = (x + 5)(2x+3) Find the derivative of the following functions (answer only two)…

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Q: f(x) = (4x² + 3x)² h(x) = 7 (4x³ - 6x²)³ b) d) g(x)=√10x² - 5x y = 1 3/(x ³√(x + + 5)²

A: We have to find out derivative for different functions.

Q: find derivative of y y= (3x²-3x+1)³/2 (3/2)(3x²-3x+1)¹/2 (6x-3) none of the above (3/2)(3x²-3x+1)¹/2…

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Q: Find the derivative of (Hайдите производную) (Баллов: 2) f (x) = x(-24)

A: Given,          fx=x-2x

Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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Q: Find the derivative of the following: a.) f(x) = 5x6 +- 3x3/5 x3 b.) f(x) = (x' + 4x)(x5 – 2) (Hint:…

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Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

A: Given: px=x+x5+x7101+x211x3+x5+x7. To be find: the hundredth derivative of the given polynomial.…

Q: 1. f(x) = 4x - 17

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…