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 y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: 2. Find the zeros of f(x)=x² -x-12.

A:

Q: The first derivative of f(x) = = 10x³ - 3 (5x4 - 6x)³ C. (3-10x³)√(5x4 - 6x)³ A. Select one: O A OB…

A: Given a function f(x) , need to find derivative of the function. We will use chain rule to find the…

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…

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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 h(1) = 1 + h(-1), h(2), h(+), h(x – 1), h

A:

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 the roots of the function f(x)=(2x-1)(x2+2x-3) with x belong to R

A: f(x)=(2x-1)(x2+2x-3)=0 We have find all the real numbers that make f(x)=0 because it is given that x…

Q: If h(x) = -x2 - 3, find h(1), h(-1), h(-3), and h(5).

A: given,         h(x) = -x2-3

Q: Let fx) - 2x-5 and let g(x)= 4x +1. Find the given value. flg(- 2) flg(- 2)] = (Type an integer or a…

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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: Let f(x) = x2 –4x and g(x) = 2+x. Find (-3). %3D (- 3) =| (Simplify your answer.)

A: Given, f(x)=x2-4xg(x)=2+x To find: fg(-3) Note that fg(x)=f(x)g(x)

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: If f(x) = 2x2+x +1, and g(x)=x is an identity function then (f + g)(1) = O a. - 4 O b. -8 O C. 4 O…

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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.