The Second Derivative Test cannot be used to conclude that x = 1 is the location of a relative minimum or relative maximum for which of the following functions? f (x) = cos (x? – 1), where f' (x) = –2æ sin(x² – 1) and f" (æ) = –2 sin(x² – 1) – 4x² cos (x² – 1) - B f (x) = e(=-1)°, where f' (æ) = 2 (x – 1) e(z-1)° and f" (æ) = 4(x – 1)°e(=-1)* + 2e(z-1)² f (x) = + x² – 3x + 1, where f' (x) x2 + 2x – 3 and f" (x) = 2x + 2 3 f (x) = x* – 4x³ + 6x? – 4x+1, where f' (x)= 4x³ – 12x² + 12x – 4 and f" (x) = 12x? – 24x + 12

Q: 9. Find f' (x) for the function f (x) = sin? (cos(4x)) 10. Find f'(x) for the following functions:…

A: Given:          f(x) =sin2cos4x first derivative        ddxfx =f'x      f'x=ddxsin2cos4x    Applying…

Q: 3. Find f. (a) f"(x) = x + 12x² %3D

A:

Q: Verify the following properties for ƒ(x) = sin x and p3(x) = x - x3/6:                    ƒ(0) =…

A: We first find the derivatives

Q: 2. Find the derivative of the following functions and write the down the inner and outer functions…

A: Solution: 2.(a) fx=2x5-4ex

Q: Find the local maximum, minimum and saddle points of the function using the second derivative test:…

A:

Q: Find f if f'(x) = sin x + cos x, f'(0) = 7, and f(0) = 7. Answer: f (x) =

A:

Q: If f(x) = 5 sin−¹(x³), find ƒ'(x). 15x² cos(x³) sin(2³)² x3 Find f'(0.4). X

A:

Q: Find f. f"(x) = 5e* – 8 sin(x), f(0) = 3, = 0 %3D %3D f(x) = IN

A: Answer and explanation is given below

Q: Compute the following derivatives. Show all your work and indicate which differentiation rule(s) you…

A:

Q: The derivative of: y =0( sin (In (0))) in (In (0))) + cos(ln (0)) is is:

A: Given function is rewriting in other variables as: y=x(sin(ln(x)))+cos(ln(x)) Product rule of…

Q: Find f. f(0) = f"(0) = sin(0) + cos(8), cos(8), f(0) = 1, f '(0) = 3

A:

Q: Find the derivative with respect to x. (c) y = v7x – x4 (d) y = (1+ sin 7.x)-5 (a) y = (5x – 2)*…

A: This question is related to derivative, we will solve it using given information.