(7) The linearization of the function f(x) = e³x at a = 0 is L(x) = 3x (A) 1 + x (B) 1 - x (C) 1 + 3x (D) 3x (E) 1 - 3x (F) None of the above

Q: Find the derivative of the function. (x) = (2x – 7)“(x²+ x + 1)5

A:

Q: Use the given graph of y = f(x) to graph the function g : g(x) = f(x + 1) + 1

A:

Q: If F(x) = (x − 1) 2 + 1; Evaluate F′(−1), F′(0), F′(2)

A:

Q: f (0), where f (x) = 101+x

A: fx=101+xf0=?

Q: X x + 2 A1. The functions f and g are defined by f(x) (a) Calculate f'(x) and g'(x). d (b) Calculate…

A:

Q: 4. Let f(x)= |x| and g(x) = x-3. (a) Determine the formulas for each of the related composite…

A: The composite function is defined as when the output of one function is used as the input of another…

Q: x2 - 4x - 12 x +2 Find f'(x), f"(x), and f (x) for the function f(x) =

A:

Q: 3. Let h(x) = 2x - 3 and g(x) = 5 - x   a) Find h( g(2) ) b) Find h( h(x) )

A: 3. Let h(x) = 2x - 3 and g(x) = 5 - x (a) Find h( g(2) ) (b) Find h( h(x) )

Q: f (1), where f (x) = 21 + x2

A: Given function - f(x) = x2+21         ...........(1)f-11 = ?First we need to find the inverse…

Q: Find the linearization at x = a. f(x) = 1 a = 5 x3 (Express numbers in exact form. Use symbolic…

A:

Q: Let f(x) and g(x) be defined as follows: f(x) = 2x+ 1, g(x) = /x-3 What is (fog)(x)?

A:

Q: Let f(x) = x2 g(x) = 2x-3 h(x) = Vx+1 %3D %3D 5. (g o f)(1) 6. (h o g)(5) 7. (g oh)(1) 8. (fo g)(x)

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If y = g(u) = u2 / (1-2u) and u = h(x) = x +5, determine the composite functions  (a). g(h(x))…

A:

Q: (a) Compute the derivative of the following functions 8(21)- 21 f(x)= [-x₂+x²³²+x²] ₁+₁²+₁² f(x) =…

A: In this problem, we have been asked to evaluate various properties of two functions f(x) defined…

Q: For the function f(z) 2(x – 5) + 7, which of these equations describes f '(r), the inverse of the…

A: We wil use concept of inverse function to find the answer.

Q: x3 - 2/x + 1 Using quotient rule, which of the following derivatives is true for the function y = 2r…

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

Q: Determine the G(s)   g(x)=x3e1/3xsin(5x-j)

A:

Q: - Show that f(x)= E ƒ(x), where E is a constant and f(x)= e²x + e2x

A:

Q: Vipul

A: The objective of the question is to find the probability density function of the random variable Z,…

Q: 2. (a) (5 points) Let f(x) = Vr +1 and g(x) = x² + 2x. Find (f o g)(1) and (go f)(1). %3D %3D 1+ x…

A:

Q: Find the first derivative of e O - (3x+2)e-³r x3 O (3x+2)e-31 x4 O(x-2)e-³x x3 O- - (3x²+2)e-3x x3…

A: To find the derivative of the given function.

Q: Hnd the Derivatives fCX)= (X2+1 )3(12 F(X)=1X X3 2x+ 8 f(x) = (X3 +3x2)3 +3 xt

A: It is needed to find the derivatives of the given function.The first function whose derivative is to…

Q: What is f (2) if the linearization of f (x) at a = 2 is L(x) = 2x + 4?

A:

Q: raph of the function f(x) = x³ + 2x - 1. So, the point (2,1) lies i (f¹)'(2). (Here f-1 denotes the…

A: Given query is to find indicated function.