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

Q: Q2/ A/ Show that the functions f(x) = sin-1() and g(x) = 2tan-Vx, have the same derivative. %3D

A: Given : f(x)= sin-1 ( x-1 / x+1 ) g(x) = 2 tan-1 (√x)

Q: 2. (a) Find the derivative of f(x) = 2x2 – 2x + 2 from first principle sin x (b) If y = x + find x4…

A:

Q: Does the function cos x х f(x) = 0, x = 0 have a derivative at x = 0? Explain.

A:

Q: Let f(x) = 1 Find f' and f" (the first and second derivatives).

A: f(x)=13-x

Q: Consider the function f(x) whose second derivative is ƒ''(x) = 9x + 6 sin(x). If ƒ(0) = 4 and f'(0)…

A:

Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: What is the derivative of x 3 sin(x)? Select one: (sin(x) + 3x cos(x)) 2 Зх 3 + cos(x) 2 Зх 3 2 O…

A: Derivative of the function

Q: 77. er = 1+ x20 + 20 +...

A:

Q: 1 f(x) = x? cosx sin x + x' 4 3.

A: We will simply do the differentiation with respect to x for each term as follows

Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: The graph of the function f(x) = x³ – 3x has one local maximum and one local minimum point. Find…

A: Given function is: fx=x3-3x

Q: Find f if f'''(x)=cosx,f(0)=1,f(0)=1,f'(0)=2,f''(0)=3

A:

Q: What is the 4th derivative at x = 0 of the function f(z) = (2r + 1)* %3D

A:

Q: (1+x²-1) y = tan²¹ / √₁+x²

A:

Q: Find the derivative

A: We are required to find the derivative of (a) y=cos2tan1+x3(b) f(t)=3csc5πt-71-cotπt5-7

Q: The derivative of y = 3cos(8x+6) is: 1. y' = 24 sin (8x+6) 2. y' = -24 sin (8x+6) 3. y' = -24 cos…

A:

Q: Find the derivative of the function In (2x+10) f (x) = x* sin (7x + 14) +

A:

Q: An architect designs two houses that are shaped and positioned like a part of the branches of the…

A: Given Equation:- 2025y2-225x2=455,625

Q: Suppose that  f is a twice differentiable function (the function has a second derivative…

A:

Q: Determine an equation for a cosine function with adjacent maximum at (60°, 5) and minimum at (150°,…

A:

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

A:

Q: Find f', given f'(x) = f(x) = x sin³ (25) √²+1

A: NOTE: Refresh your page if you can't see any equations. . take the derivative