Sketch the graph of f(x) = In |x| and explain how the graph 1 shows that f'(x)

Q: . Suppose you are writing an exam and you cannot remember whether the derivative of arcsin(x) 1 1…

A:

Q: The graph of the function f(x) = 4x° – 48x has one local maximum and one local minimum point. Find…

A: To determine: The local maxima point.

Q: According to the criterion of the first derivative, the image function has a point: f(x) = x2 + 10x…

A: The given function f(x)=x2+10x+21

Q: Find the derivative of f(x) = 2 tan^-1(x) 6^x

A:

Q: Let f(x)= x2 -3x + In x. Find the local maximum and minimum values of f by using the second…

A: Since, we are given f(x)=x2-3x+ln x and our aim is to find the local maximum and minimum values of f…

Q: 1. Using the First Derivative Test, explain why the function f(x) =-2x has no extrema on any open…

A:

Q: Differentiate: (etan(x)) /(1+x)  Show all working out.

A: Given  etanx1+x. We have to differentiate it. Used formula:- ddxfxgx=gx⋅ddxfx−fx⋅ddxgxgx2 Here,…

Q: Compute the derivative. f(x) = (cos2 x)cosx

A:

Q: 100. Use the derivative to help explain why g(x) = -2x – x³ decreases for all x in (-*, x).

A:

Q: Use second derivative test, If f(x) = 25x + 10 then f(x) has a 3 local maximum at the point_

A:

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

A:

Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule]

A:

Q: How do you find the length of the graph of a smooth function over a closed interval? Give an…

A: known fact:

Q: How to use a graph of a derivative to determine the parent function.

A:

Q: How do I differentiate this function using the chain rule: f(x)=[x^2/sin(x)]^6

A: Given,           The function is fx=x2sinx6.

Q: Find the local maximum and minimum values of f using the Second Derivative Test. If the Second…

A:

Q: Find f'(x). f(x) = x5 – 4x3 + x – 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given :            f(x) = x5 - 4x3 + x - 1   To find : f'(x)

Q: Determine if the critical points of the function f ( x ) = x³ + x² - x - 2 are maximum or minimum…

A: The given function is: fx=x3+x2-x-2   As we know that; To calculate the critical point, f'x=0.

Q: Find the derivative of the function by the limit process. f(x) = x2 + x − 8

A:

Q: 2. Identify the derivative (9) based on the product rule ie, (G). Simplify to a single term.

A: Given ∂∂TGT

Q: Sketch the graph with details of the function below by using the first and second derivative tests.…

A: We will use following properties of f(x) to draw its graph  # vertical asymptotes are vertical…

Q: Find the derivative of f(x)=8x - 5x+2 using first principles (i.e., use the definition of the…

A:

Q: A continuous function has a derivative at every point in a given interval. True or False?

A: function is differentiable means that function is continuous as well as smooth at every point of…

Q: Compute for f '(3) using the limit definition of derivative if f(x) - 6x²

A:

Q: Use second derivative test, If f(x): 3 - 25x + 9 then f(x) has a local maximum at the point = 6 -5…

A: The given function is f(x)=x33-25x+9 Differentiate with respect to x,

Q: Find the derivative of the function f(x) = {x3 - tan tan (4x2 -2)}4

A: The question is taken from the calculus in which we have to find the derivative of given function We…

Q: Compute the derivative of f(x)= (ex2 +e-x2 )/(ex2 -e-x2 )

A:

Q: 9) Use the second Derivative Test to find all relative extrema. f( x) = - (x + 2)°(x – 4)?

A: Find f'(x) and solve for x by putting f'(x)=0.

Q: Find f'(x). F(x) = x5 – 4x3 + x - 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given, f(x)=x5-4x3+x-1

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A: Given function is fx=1x+4. Compute the first derivative. f'x=1x+4'=-12x+432

Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

A:

Q: Find the x-value for all relative extrema of f(x) using the first derivative test. Specify whether…

A:

Q: Sketch a graph of the function f that is continuous on (-∞,00) and has the following properties.…

A:

Q: Find f'(x) from f(x)= = 2x³x²x+ 2 using the definition of a derivative. (Do not include "f'(x) =" in…

A: Use simple differentiation formula.

Q: Sketch a graph of a function whose derivative is zero at exactly two points. Explain how you found…

A: Sketch the graph of a function whose derivative is zero at exactly two points which means we can…

Q: What are the indeterminate forms and L'hospital's rule in application of derivatives?

A: We have to define Indeterminate form and L'Hospital Rule

Q: Give an example of a function that is defined for all real numbers, is continuous everywhere, but…

A:

Q: 2. Find the derivative of f(x) = -4x2 + 3x + 2 from first principles (i.e. the limit definition of a…

A:

Q: Find f'(x). f(x) = x° – 4x³ + x – 1 - f'(x) = Compare the graphs of f and f'and use them to explain…

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

Q: 1. Sketch a function that has a horizontal tangent line for all values of x. Explain how you arrived…

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

Q: Find points of inflection of the function and determine the open intervals on which the graph is…

A:

Q: Using method of sub., find the Anti-derivative 1 x In x

A: detailed solution is given below

Q: Explain how to find a differential of a function.

A: Let us consider a function f(x) and its differential to be f'(x)

Q: 4. Find the maxima/minima of f(x) = x³ – x using both 1st and 2nd derivative test.

A: Consider the function: fx=13x3-x. Find maxima, minima.   Find f'x by applying axn'=anxn-1.…

Q: prove that f(x)=3x^3-4x^2-x-3 is continuous over [-3,3]

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: olve for the derivative of the function using chain rule.  2. f(x)=4√ -3x4-2

A: 2)

Q: The first derivative of the function f(x) is given by its graph.. f'(x) 3- 2-

A: A.  Function is increasing when f'(x) > 0  from graph  Function is increasing…

Q: Describe how to find the derivative of a function using the limit process.

A: To Describe the Limit Process for finding the derivative of a function.