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\f(x) g(x) f '(x) g "(x) 1 16 83 -4 Vg(x), x = 3 A)를 B) -5 23 1/0

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\f(x) g(x) f '(x) g "(x) 1 16 83 -4 Vg(x), x = 3 A)를 B) -5 23 1/0

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

See similar textbooks

Related questions

Q: Let y = 2 ln x - 1/2x then the first derivative is....., the first order condition is..... and the…

A: Given: y=2 ln x-12x To Find: To determine the first order derivative.To determine the first order…

Q: y = In (x* + 5)³

Q: Compute the derivative of g(x)=arctan(x^3+1)

A: From the given data:

Q: (a) Let f(x) = -3x² + 4x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

Q: (1)Let f(x)=x -7x+15. Find the derivative, f'(x) using the definition of derivative. Also find the…

Q: Find the first derivative of g(x) = 2 ln(x)tan(x*). 2 tan(4) g'(z) = | 82 sec²(4) In(z)+ X syntax…

A: We will solve the problem. The syntax error is ln(x4) instead of 'CAPITAL i'. Refer to the final…

Q: Find the derivative of f (x) = -6 tan (x). Enclose arguments of functions in parentheses. For…

Q: 1. Determine the true error and relative true error when approximating the derivative of ƒ(x) = -x²…

A: solution is here

Q: 5. Calculate the derivative of the following functions. DO NOT SIMPLIFY a. f(x) = x³ (arctan(x²) –…

Q: 1 Find the derivative of f(x) = - at x= 3 %3D (Type an integer or a simplified fractic 21 %3D

Q: (In z) dr and P -(a") = a* In a, dr Also, recall fundamental differentiation formulas or rules, such…

Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

Q: If f'(x) = 3+ 4x and the curve f(x) passes through the point (1, 8) i) Find f(x) ii) Find the local…

Q: 2. Use rules of differentiation to find the derivative of the function 5a° (x- +3) g(x) = x2 +1 Show…

Q: We cannot find the derivative of composed functions. We can however, using some algebra, find the…

Q: Give an example of a function f (x) that has one positive derivatives on the range (−1, 0) and a…

Q: Let f and g be two functions having continuous second derivative on the interval [a, b). Its given…

Q: Can you help me with this problem step by step?

A: The equation is given by

Q: 75. F(x) has a negative derivative over (-, 2) and (5,9) and a positive derivative over (2, 5) and…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 2 The derivative of (g(x))¯ is equal to (g '(x))¯. Select one: True False

Q: 11 In(x)sin (x²). Find the first derivative of g(x) (x),6

A: As we know that: The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x The Power law:…

Q: Consider the function f(x) = x³ – 2x + 4 on the interval (-2, 2) with h = 0.25. Use backward,…

A: Given that fx=x3−2x+4 To use backward, forward, and central difference methods to approximate first…

Q: 6. Find 39th derivative of f(x) = sinh(x). A. sinh(x) B. cosh(x) C. – sinh(x) D. - cosh(x) None of…

A: Derivative of sinh(x) is Cosh(x) and Derivative of Cosh(x) is Sinh(x).

Q: 1. Create your own function f(x) of the form F (x) = f (x)·g (x). In other words, F(x) is a product…

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

Q: 6. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to…

A: By using differentiation. and definition of tangent at point.

Q: a) Let f(x)=-3x² + 4x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

Q: 7 Let f(x) x – 9 * Then according to the definition of derivative

Q: Find sixth order derivative of the function f(x)=(x-5)^7.cos(5x) by using Leibnitz theorem.

A: n! = n × (n-1) × (n-2) × (n-3) × (n-4) × ............ × 1

Q: 3. Find the derivative of f (x) tan (5x + 7), by first principle of differentiation

A: Given function is By first principle of differentiation, we have

Q: (a) Let f(x)=√√2x+1. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

Q: Compute the derivative of the function y = 6 cos- (7x) at the point x = (Use symbolic notation and…

Q: Find the derivative of the function. h(x) CoS x 6. %3D 1+ sin x sin x -61 coSX --6 cosx (1+ sin x)6…

Q: Give algebraic proofs that for even and odd functions:(a) even times even = even; odd times odd =…

A: We say that a function f(x) is even if f(-x)=f(x) We say that a function f(x) is odd if f(-x)=-f(x)

Q: Two equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented…

A: Two equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented…

Q: 1) Use the Product Rule or the Quotient Rule to find the derivative of the given function a – g(x) =…

A: The objective is to use the product rule or quotient rule to find the derivative of the given…

Q: 3. ƒ : R+ → R, such that f(x) = √2x+2. (Hint: Apply the chain rule.)

Q: f(x) = x2 -1

Q: Find an anti-derivative for each function in C equals zero

Q: , (a) Let f(x) = −x²-x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

A: The objective of the question is determine the equation of tangent line to the given function.

Q: 1) Use the limit definition to find the derivative of the function f(x) = 6x – x². Then find all…

A: Using limits definition:f'(x) = limh→0 f(x+h) - f(x)hf(x) = 6x - x2f(x+h) = 6(x+h)- (x+h)2 = 6x +…

Q: Find the first derivative of g(x) = 2 In(x)tan(x*). g'(æ) = %3D

A: Given that g(x) = 2ln(x) tan(x^4). Find first derivative of this function. We know that derivative…

Q: If f(x) = sec (x) tan(x), then a particular anti-derivative of f(x), is -csc (x) + 1.

A: Firstly we have to find the antiderivative of function f(x)=secx tanx.then given the statement

Q: Find all x-values where g(x) = −(x^3 )+ 3(x^2 )+ 9x − 20 has a horizontal tangent line (that is,…

Q: 2. Use the definition of the derivative to find the first and second derivatives of the function. 1…

Q: find the derivative of the functions : f'(x)=x(2x-9)^3 y'=x^2squared root of 25-x^2…

A: We have to calculated the derivative of the given functions.

Q: Show that x + yx−1 = 1 and y = x − x2 define the same curve [except that (0, 0) is not a solution of…

Q: 1. State the power rule. 2. For which values of n have we proved the power rule? 3. Based on your…

A: 1. The power rule of derivatives gives the following: For any real number n, ddxxn=nxn-1

Question

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 f(x) g(x) f '(x) g "(x)
1 16
8 3
-4
Vg(x), x = 3
A)
B) -
23
D)
Page 2 of 30
Next Page
Previous Page

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here