If f(x)=2-3x². O a. O b. O c. lim h→0 lim h→0 lim 30 From first principles select the correct step. ƒ(2-3(x+h)²) — ƒ(2-3x²) h (2-3(x+h)²) - (2-3x²) 8 h f(x-c)-f(x)

Q: 9. Use the product rule to find and state the rule for dif- ferentiating a product of three…

A: The product rule of differentiation is given by,…

Q: 2. Which of the following is NOT a root of the function f(x) = (x² - 36)(x+1)(x- 1)? A -6 B -1 C 1 D…

A:

Q: Vx+3x² limx¬0 X→∞ 4х-1

A:

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A: Given: f(x)=(2x2+3)32

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A:

Q: Let f(x) = 2x – 3x³ and g(x) = 3/x a. Find (f*g)(1) b. Find (g(f(-1))

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

Q: find a so that the domain of the function f(x) = -5x +sqrt{a-x^2} is (-3,3) a. 3 b. 9 c. -9 d.…

A:

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A: The function is given byTo determine: The expression of .

Q: Identify the vertex of: f(x) = 3(x - 5)² + 1/2 O (-15) O (5) O (-1/52,7) O (5,-)

A: Identify the vertex of: fx=3x-52+72A   72,-15B   72,5C   -152,7D    5,72

Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

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Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

A:

Q: If f(x) = 3x² -x, then lim (x+ h) – f(x) ; h A B 6x - 1e C бх +3h — 1€ D Зх — 1€ E 6x+h– 1e

A: Derivative

Q: What is the domain of the radical function f(x)=√2x²-5x-12? D: (-∞0, ∞0) D: [-1.5, 4] D: [-1.5, ⁰⁰)…

A: The function is given byTo determine: The domain of the the function.Domain Restrictions for Square…

Q: Given the function h, find functions f and g such that h(x) = (go f)(x). h(x) = (6+ 4x)" a. f(x) =…

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Q: if f(x)=5-2x find f(a) , f(a+h) and the difference quotient f(a+h)-f(a)/h, where h does not equal 0

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Q: For the function h(x) = −2x³ - 4x + 3√√x, calculate h'(x), h''(x), and h'''(x) . Show all steps. (2)…

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Q: Let ƒ(x) = (2x + 3)(3x2). Use the product rule to find ƒ′(x).

A: Consider the formula for product rule. Product rule: fg'=f'⋅g+f⋅g'

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A: Given function is y=x-1.

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A: Given, g(x)=2x-6

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Q: x2-2x4メ4x Lim (X-1)²+ y2 2 2 .

A: Solve using  properties of the limits

Q: - ∞ , - ∞)   B.( x | x ∈ R )   C.(- ∞, ∞)   D.( y | y ∈ R )

A: The function given is , y = 3x - 3. The domain of the function is defined as the set of values of x…

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A: