A car company wants to ensure its newest model can stop in 8 sec when traveling at 75 mph. If we assume constant deceleration, find the lowest value of deceleration that accomplishes this. (PAY ATTENTION about the units) ✓ ft/sec². Find the possible functions of given that f"" (x) = cos x. ○f (x) = - COS X — 5x2 f(x) = sin x + 3x ○ ƒ (x) = - sin x + 3x² 2 ○ f(x) = − sin x +3x7

Q: Let Find f(x)\x= = ". y = f(x) = 31 sec x + 18 tan x 31 sec x 18 tan x d dx -f(x)\ x= 1 *

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Q: What is the derivative of f(x) = (sin(x²) + x³)¹ at x = 0 Answer:

A: INTRODUCTION In calculus, differentiation is a fundamental concept that involves finding the rate of…

Q: 3x²+1 e) у %3D cos?(3x?) f) y = x-2

A: We need to evaluate the derivative of the following function e y = cos23x2f y = 3x2+1x-1

Q: Check whether the function f(x) = cotx and f(x) = sin2x is well-conditioned or ill- conditioned at x…

A: A function is said to be well-conditioned at a point if small changes in the input result in small…

Q: Consider the function Suppose that g(6) = ƒ' (6) = f(x) = (1 + sin(x)) (*) -9 and g'(6) - 4.

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Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

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Q: sin(x') In(5x + 7x- 3) 6) Find the derivative of: y =

A: Formula 1: Let f(x) and g(x) be two functions, then f(x)g(x)=g(x)f'(x)-f(x)g'(x)(g(x))2 The given…

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: b) Differentiate the function below with respect to x. f(x) = (2+3x) sin (8 + 2x) Note: In Text mode…

A: The given function is f(x)=-2+3xsin8+2x. To Find: Derivative of above function.

Q: 7. Find the second derivative given g(x) = sin x² A. 2 (cos x² - x sin x²) C. 2x cos x² 9 "(x) - 4 x…

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Q: Let f(x) 39 27 O 1 4√3 O-√6 9 3√3 .-1 (²). Then the second derivative at x = -1,f"(-1), equals = COS

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Q: 2. Use the derivative rules to find f (x). (a) f(x) = (2x® – 8x-2 + 9) +) 3 (b) f(x) = COS x CSCX_…

A: Find the derivative