Find the derivative of the function. y = (x + 1)²(x² + 1) ~ 3 ...... - 2(x + 1)(2x² – 3x – 1) OA. (x² + 1)* 2(x + 1)(2x² - 3x - 1) O B. (x? + 1)* - 2(x + 1)(2x² + 3x - 1) OC. 2(x + 1)(2x² + 3× - 1) OD.

Q: If h(x) = 8x – 3, find 3[h(x)]² – 7 -

A: We know that- (a+b)2=a2+b2+2ab

Q: The point (-3,0) is the single x-intercept for the function f(x). The corresponding x-intercept for…

A:

Q: Where does the graph of the function h (x) = x* + 3z² – 4 cross the x-axis? %3D O x= -1 and x = 1 O…

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Q: Find f′(x) and f′(c). Function f(x) = (2x2 − 3x)(9x + 4) Value of c = −1

A: f(x) = (2x2 − 3x)(9x + 4) c = −1   f'(x) = (2x2 − 3x).(9x + 4)' +  (2x2 − 3x)'. (9x + 4)        =…

Q: Find f ′(x). f(x) = 6x15 − 7x3 + 2

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Q: If h(z) = 2x2 - 3r +1, what is h(-2)?

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Q: Find-f(x) when f(x) = 3x+4x+4. O A. 3x-4x-4 O B. -3x-4x-4 OC. ОС. 3х- 4х +4 O D. -3x -4x+4

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Q: Let f(x)=x+2x+9f−1(−8)=

A: The given function is

Q: Calculate R5 for f(x)=4x2+6x over [-1,1]

A: The objective of this question is to calculate the Riemann sum, specifically R5, for the function…

Q: Suppose you invest $250 at the end of each year for 10 years at an annual interest rate of r. The…

A: Ar=2501+r10-1r

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: a) Select a point on the graph of y = -x + 2x³ + 13x² - 14x-24, where the roller coaster is going up…

A: f(x) = -x^4+2x^3+13x^2-14x-24Let's find the first derivative (f'(x)):f'(x) = -4x^3 + 6x^2 + 26 x -…

Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: What happens to the value g(x) if x is tripled

A: The value of the function when the x value is changed, totally depends upon the type of function.