2x Given f(x)= x? +1' XER. Prove from definition, that (--0, –1), (1, +∞) the function f is decreasing in intervals function f is decreasing if f(x)> X1, X2 E D

Q: MTH 32 (16) Show that f is one-to-onc. Find (f-¹)'(a). Calculate f-¹. Find the domain and range for…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Which of the following is a fundanental set for a system defined by differential equation 9…

A:

Q: A function f(x) has an inflection point at (2,-2). Which of the following could NOT have been the…

A: We know that point of inflection can occur where the second derivative is 0. It is the point at…

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: 1 show that f (-2) = f(2). 4 If ƒ(x) = x" 4

A:

Q: 1. Assume that the function f is a one-to-one function. (a) If f(2) = 5, find f-(5). Your answer is…

A:

Q: Find f. f "(x) x2, x > 0, f(1) 0, f(9) 0 =

A: Given,

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: Assume that the function f is a one-to-one function. (a) If f(5) = 2, find f-'(2). Your answer is…

A: Given that to he function f is one-to-one function.

Q: What are intervals of concavity of the function f(x) = -2x + 6x² – 3 ? a. Concave upward on (-1, o0)…

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: If f"(x) = x*+2x - 15x, then on which of the following intervals is f concave up? (-5,0) (3,00)…

A: Given f''x=x4+2x3-15x2

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

A: We need to find out first partial derivative

Q: Which of the following is not the test interval of the function f(x) = 1/x +2x

A: The given function is f(x)=1x+2x Differentiating the given equation with respect to 'x', we get…