1. Find the second derivative of f(x), then find the x-values at which f(x) is concave up and the x-values at which it is concave down. Remember that you do this by figuring out where the second derivative is positive or negative. So if you for example found the second derivative to be f"(x) = 2x+6 then you would find where it is concave up by solving 2x+6> 0 for x and you would find where it is concave down by solving 2x+6 < 0 for x. A. f(x) = 3x^3+12x^2+5x+7 B. f(x) = 2x^2+5x+7 [hint: this function will always be either concave up or concave down-which is it?]

Q: 4. y = (8x*- 5x2 + 1)* 5. g(t) = -3V7t3 – 1

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Q: Write down the equation of any function g(x) for which the derivative does not exist at x =2.

A: Topic = Derivative

Q: y = ǀsinx ǀ Estimate and list out the values of x where derivative of this function does not exist

A: Solution:- The given function is  y=|sinx| the graph of the above function y=|sinx| is given below.…

Q: Find the DERIVATIVE of the following functions using Rules for Differentiating Algebraic Forms. Show…

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Q: The derivative of the function - is equal to e Select one: a. a(2º In 2 + 1) b. e" (2ª In 2) c. e"…

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Q: Question 2 $-3ar* +2pr² h(r) 4r

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Q: 1.) y = (3x² – 1 ) (4x +7 )

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Q: 2 y-(1-2x) y = 1 – 2x° У y"

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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: Which of the following is the derivative of y= 3x1 + 13x

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Q: Show your work to determine the derivative of f(x) = (-1/x2 + 1/2 x2)(√x - 3x4). Do not simplify…

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Q: What is the third derivative of the function: f(x) = x5 - 4x³ + 3x?? O 5x – 12x² + 6x O 20x? 24x + 6…

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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: lease find the derivative of the function h(r) using the picture

A: given function :

Q: 1. Find the derivative of (a + 3x + 8) (3x' - 7x + 2).

A: The given function is x2+3x+83x4-7x+2

Q: Find the indicated higher derivative of the given function. y = 4x² + 9x³-5x + 6; find y". y" = ||

A: Find the double derivative of the function  y= 4x4+9x3-5x+6

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

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

Q: 1. Find the slope of the graph of the function f (x) = v3x + 4 at x = 7. Then find an equation of…

A: equation of tangent line is (y-y1) = slope (x-x1)

Q: Q2. Derive the following formula for approximating the derivative f": ƒ"(x) ≈ : (-f(x+2h) +16f(r+h)-…

A: To show:- f''x ≈112h2  -fx+2h + 16 f(x+h) -30 f(x) +16 f(x-h) - f(x-2h)

Q: Write all answers with numbers rounded to two decimal places. In Calculus the derivative of…

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