Calculate the derivative and its application. (a) 2x3 – 4x2 +x – 33 -

Q: Determine 04 O4h 05 O 5h f(2+h)-f(2) h if f(x) = 5x 6.

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Q: 1 |(12x5 - 11)dx -1

A: ∫-1112x5-11 dx

Q: differentiate y =[(3x2 + 2x + 2)(x - 2)]2

A: The differentiation of nested functions can be calculated by using the formula ddxfgx=f'gxg'x  . And…

Q: -4 3 2 -1 -4 -3 -2 -1 1 2 4 -1 -2 -3 --4 3.

A: To find f(2) using the given graph.

Q: The range of the function y = -3(x + 2) ^2 -12 is

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Q: 2sqrt(x-1)=16

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Q: 5x 1 f(x) 2х + 8

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Q: f(0) = 2x - 5

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Q: 4x- 4 H. x + 1 3x

A: We Know that, Tangent drawn from an external point to a circle are equal in length. Here, JF= 4x-4…

Q: Let f(x)=x +3 and g(x)=-2x+6. Find each of the following. (a) (f+g)(2) (b) (S - 8)X2) (c) (fg)(2)…

A: we have to find the following

Q: Find the difference quotient and simplify your answer. Ax) = x² – x + 1, f(6 + h) – f(6) -, h+0 h…

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Q: Which function is equivalent to, y = 4x - 16x + 11 y = 2(x + 4)2 + 6 y = 4(x – 2)² – 5 y = 4(x +2)?…

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Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

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Q: DERIVE THE F. FUNCTIONS: s) y (x-3)(3x+4)(x²-2x+ 1)

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Q: Let r(x) = 8x - 5 7x +9 x) = (-5x-5)/(7x-8) Find and simplify

A: Given query is to find inverse t.

Q: f(x) = 5x + 2 a.) f(-2) b.) f(5)

A: To find the f(-2) and f(5)

Q: Evaluate * 8x3-4x²-6x-9 dx 2x-3

A: It is required to evaluate ∫8x3-4x2-6x-92x-3dx The integrand 8x3-4x2-6x-92x-3 can be simplified to…

Q: Find a.​ (f+g​)(x​) b.​ (f+g​)(8​). f​(x​)=2x2−x+3​, g​(x​)=x−1   a. ​(f+g​)(x​)=…

A: We have to find (f+g)(x) and (f+g)(8)