4. Let f'(x) = 2ax³ + 3bx² - 6ax+b such that f(x) is concave up on the interval -1

Q: Given the function below f(x) = 3 x³ – ²x² − 18 x + 3 a) Differentiate the functionƒ(x) = 3 x³ − 2…

A:

Q: Give the value(s) of x at whichf has either a local minimum or a local maximum. Give the interval(s)…

A:

Q: Let f (*= {(8) +f(9) for real values of x and y. If f '(0) exist 2 2 and equals –1 and f(0) = 1,…

A: Introduction :

Q: Let f(x) = 6 + V4x – 5. Find f-'(x). f- (x) = for x > 6

A: Given f(x)=6+4x-5 The objective is to find f-1(x).

Q: 3x10 + 3a5 + 5æ² + 7. What particular solution that satisfies Suppose f'(x) 455 -? 66 f(1)

A:

Q: 3. Find f'(x) for f(x) = 3x-4 2x+3

A:

Q: True or False.   If f(x) = a * x ^ 3 + b * x ^ 2 + cx + d where a 0, then f has at least one…

A: Given that: f(x)=ax3+bx2+cx+d, a≠0

Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: IfY C X, show that inf (X) < inf (Y)

A:

Q: Find the absolute max. and min. of each function y=√4−x^2, (−2,1)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Given f()= 2x + 1 and ()= r*+ 2x-1, fnd (f- (1).Then valute the difence when x=2.

A: Sum and difference of the two functions

Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A: Given that, f''x=3x3-14x2+8x For what value of x is fx concave down.

Q: When z = f(x,y), which of the following is true for the whole statement? O ddz = f"(x).dx² and dx2…

A:

Q: 3 Let f(x)= x³ - 2x+: Calculate by definition f'(1). X

A: given function to find the derivative

Q: Find numbers a and b so that f'(1) exists for ax² + b 1 x² f(x) = if if x 1.

A:

Q: Find ao of the function f(x) =÷(n - x)2 | О п^2/12 5 T^2/6 5 T^2/12 O T^2/6

A:

Q: 1. Determine f'(x) and DO NOT simplify. f(x) = 2x³7x² + 3x - 1 a) c) f(x) = -3√x 2 b) f(x) =…

A: To determine f'x and to do not simplify. (a) fx=2x3-7x2+3x-1 (b) fx=5x2-3x (c) fx=2x2-3x

Q: Iff and g are functions that satisfy f(2) = 5 and g'(2) = -3, find h'(2) for h(x) = -4f(x) + 5g(x) -…

A:

Q: Let f be the function given by f(x) = 4x³ - 5x² + 6x + 7. What is the value of f'(-1)? 28 O 12 CO

A:

Q: 3. Let f(x) = 4x3+ + 2vx-7. Find f'(x).

A:

Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

A:

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

A:

Q: Differentiate f(x) = Vx² + 1(³. Do not simplify. x+2"

A:

Q: 24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

A: The given function,   f(x)=3x4-20x3+42x2-36x

Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

A: