Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x. x[fx) g(x) f° (x) g°¢x). 3 1 1 16 6 5 4 3 3 5 -5 g(x + f(x)), x = 3 25OU 411

Q: (2) Find the derivative of each of the following functions (a) f(x) = (1+x*)²/3 (b) g(x) = V1+…

A: a) We use the power rule and chain rule

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A:

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

A: topic - functions and derivatives

Q: 5) Find the derivative of each of the following functions. a) f(x) = (3x- 6x - 7) %3D b) g(t) = V4t-…

A:

Q: 2. Find the derivative of the following functions: 5x + 6 (a) y = 8х — 1 )(",-) 2 8. - 8 (b) r =…

A:

Q: 1. (a) If x and y are differentiable functions, find the general formula for the derivative h'(t) of…

A:

Q: Suppose that functions ƒ(x) and g(x) and their first derivativeshave the following values at x = 0…

A:

Q: find the derivatives of the following functions f(x)=(3x2 +5)2(x3-11)4 f(x)=COS4(x+1/x-1)

A: 1st question :Given,         f(x) = (3x2+5)2(x3-11)4

Q: 01) Find the derivative of the following: x2 + 3 y (x – 1)3 + (x + 1)³ 2x2 + tan x f(x) : %3D x2 sec…

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

Q: Let h(x)=f(x)*g(x), and k(x)=f(x)/g(x). Use the figures below to find the exact values of the…

A: Given To find h'(0) and k'(-2)

Q: Nhich of the following is the derivative of the function g(z) = 2? Og°(2) = 5 5e²+5z-e² g’ ( z (e-)?…

A: Given,  gz = 5zez  We have to find the derivative of the function gz = 5zez

Q: Which of the following function has 10" derivative equal to zero? None of the given choices ®f(x)…

A: Explained below

Q: Given two functions f(x) and g(x) with f(1) = 27, g(2) = 1, f'(1) = 204, g'(2) = 22. What is the…

A: Given that for functions f(x) and g(x) f(1) = 27, g(2) = 1, f'(1) = 204, g'(2) = 22 To find…

Q: Suppose that the function ƒ(x) and its first derivative have the followingvalues at x = 0 and x =…

A: Given that: The function f(x) and its first derivative have the following values at x = 0 and x = 1.…

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

A: Given:    x    f(x)   g(x)   f'(x)  g'(x)     3       1    9   8   5     4     3     3    5…

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

A: Suppose that y is equal to the given function. So we need to find the derivative of y at the given…

Q: Calculate the derivative of the following function. y=f(g (5x*)), where f and g are differentiable…

A:

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

A:

Q: Suppose that functions ƒ(x) and g(x) and their first derivativeshave the following values at x = 0…

A:

Q: Suppose that the functionsfand g and their derivatives with respect to x have the following values…

A:

Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A:

Q: Suppose that the function f(x) and its first derivative have the fol- lowing values at x = 0 and x =…

A:

Q: 1. (a) If x and y are differentiable functions, find the general formula for the derivative h'(t) of…

A:

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

A: f(4)=3,g(4)=3,g'(4)=-5,f'(4)=2,f(3)=1,g(3)=4,f'(3)=8,g'(3)=3.

Q: 1. (a) If x and y are differentiable functions, find the general formula for the derivative h'(t) of…

A: Given

Q: 2. Find the derivatives of the following functions and simplify. i) f(x)=- Vx +1 ii) h(x) = In(x+…

A:

Q: Given a function g(x) which has derivative g' (x) for every real x and which satisfies the following…

A:

Q: Consider the function g(x) whose derivative is given by g'(x)=-(2x-3)sin(x²-3x).At which of the…

A: To find the relative minimum, first find the critical point by equation g'(x) to zero and solve for…

Q: 3. Find the derivative of ywith respect to x in the following functions: 18x y (3x-2 + 4x) x'- 3 a)…

A: Please see the explanation below

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

A: Given : 1g2x

Q: 5. If f(x) = x², g(x) = and h(x) = √x² + 2x, determine the derivative of each composite function. a.…

A: Given: f(x)=x2,g(x)=1x′ and h(x)=x2+2x First find the composite functions and then differentiate

Q: Which of the following function has 10" derivative equal to zero? A f(x) =(3x²-4x +2)³ B f(x)…

A: Here we find out whic function 10th derivatives is zero.

Q: Find the derivative f„(x) of the following function with respect to x: 2 m fm (x) = (En² - 2" Σ n=1

A:

Q: Which among the following functions has the derivative of z(-z' + 3z + 20) g' (x) %3D (z2 + 1)* O g…

A: We have to choose the correct answer from the given option according to the given condition

Q: 1. Determine the third derivative of the following. A. f(x) = x³ – 4x² + 5x + 3 B. f(x) = Inx [ K:…

A:

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

A: see below the calculation and answer

Q: Given f(5) = 3, f'(5) = -1, g(5)= 2, g'(5) = 1, f(2) = -4, f'(2) = 6, find the derivatives of the…

A:

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

A:

Q: Suppose that functions ƒ(x) and g(x) and their first derivativeshave the following values at x = 0…

A:

Q: Using the definition of a derivative, find t'(3) given t(1) =2 -9z-1 %3D

A:

Q: 2. Find the derivative of the following functions: -2 (a). f(x) = x² + 4x + 4e" (b). f(x) = 2…

A:

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

A:

Q: Suppose that the functions f and g and their derivatives with respect to X have the following values…

A:

Q: Suppose that the functions fand g and their derivatives with respect to x have the following values…

A: The table is given by To evaluate: The value of the derivative of  fx+gx at x=3.

Q: (a) If x and y are differentiable functions, find the general formula for the derivative h'(t) of…

A: Find the genral formula for the derivative h'(t) of h(t)=x(t)y(t)   And also find the derivative of…

Q: The derivative of the following function at x = 1 y = tan-1V4x3 – 2 is 2 O 0.5 1.4142 O 0.707

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

Q: 8. If the derivative function of f(x) is continuous on [1,2], and f(1)=1, f(2)=4. Find* O 15 02 24

A: The given integral is: I=2∫12f(x)f'(x)dxLet, f(x)=t⇒f'(x)dx=dtWhen, x=1⇒t=f(1)=1When,x=2⇒t=f(2)=4

Q: 1. (a) If x and y are differentiable functions, find the general formula for the derivative W (t) of…

A: a) h(t)=x(t)y(t) b) 4t2-13t

Q: 1.determine the derivative of each of the following functions e. f(x)= vx f. f(x)= 1 h. f(x) = 3(-x…

A:

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: As per our guideline we are supposed to answer 3 subparts of a question