Suppose a transformation of the parent function f(x) = 10^x is given as g(x) =10^x -8. Determine the effect the transformation has on the minimum function of the interval [0,10]

Q: Can a function have an inflection point at a critical point? Explain

A: Show that: Can a function have an inflection point at a critical point?

Q: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

Q: What is the critical point of this function?

A: Critical points are that points where derivative is zero

Q: d) A function with no absolute extrema but with a local minimum of -5 at x = 4 and a local maximum…

A: Follow the procedure given below.

Q: Find the derivative of the function by the limit process. 9. f(x) = %3D f'(x) =

A:

Q: Suppose g is a continuous DECREASING function on the interval [-3,1].

A: 2. As y is a continous decreasing function on the interval -3, 1

Q: Find the derivative of the function by the limit process. f(x) = x2 - 2 %3D f'(x) = 2x %3D Need…

A: Apply Limit rule

Q: Sketch the graph of a continuous function on (0, 4) with aminimum value but no maximum value.

A: Given: The interval of a continuous function is (0,4)

Q: Suppose that the tangent line to the graph of a function f at x=2 passes through the point (5,19)…

A: Given that the tangent line to the graph of a function f at x=2 passes through the point (5,19) and…

Q: Find the length of the curve of the graph of the indicated function. y = In(sen x), between points…

A:

Q: Describe the Chain Rule for the composition of two differentiable functions in your own words.

A:

Q: 3. Is the function given by x²-4x-5 -,x< 5 f(x) =. x-5 x+1, x 2 5 continuous atx=5? Why or why not?

A:

Q: Give an example of a function that is continuous but differentiable at x=2

A:

Q: 1. Determine where f(x) = arcsin (x² – 2x) is increasing. %3D

A:

Q: Find the 도ite d Point of the Folowing Functionse 2. x3

A: Given function is F(x) = x3 + x2 - 9x + 8

Q: Sketch the graph of a function on [-1, 2] that has anabsolute maximum but no absolute minimum.

A: According to the given information, it is required to sketch the graph of the function on [-1,2]…

Q: Use the alternate definition, lim Ax)-Aa) to determine the instantaneous rate of X- a change of Ax)…

A:

Q: It is defined as the limit of the ratio of the change in a function to the corresponding change in…

A:

Q: Give an example of a function that is continuous on -∞ < x < o but is not differentiable at x = 3.

A:

Q: Sketch the graph of a function on the interval [3,9] that has an absolute maximum at x=5 and an…

A: Ques:-   Sketch the graph of a function on the            intervel 3,9 that has as absolute…

Q: Suppose that the second derivative of the function y = f(x) is y" = x*(x = 2)°(x + 3). For what…

A: Given: The second derivative of the function y=f(x) is y"=x2(x-2)3(x+3) Definition: The inflection…

Q: Consider the function in the graph to the right. The function has a relative maximum of at x =

A: The function has a relative maximum of  2      or x = 0the function has a relative minimum of -6…

Q: Define wronskian of Two Functions?

A: Wronskian of two function: Let f(x) and g(x) be two differentiable functions, then wronskian of f(x)…

Q: Sketch a rough graph of the function without using acalculator.   y=   -In x

A: To Determine: Sketch a rough graph of the function without using a calculator. Given: we have y=-lnx…

Q: Sketch the graph of a function that has a local maximumat 2 and is differentiable at 2.

A: We have to sketch graph of function that has local maximum at 2 and is differentiable at 2. We know…

Q: If f is a continuous, odd function and f(c) is a relative maximum, then f(-c) is a relative minimum.…

A:

Q: Find a function y whose graph passes through the point (1, =) and satisfies x2y' = y.

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

Q: What is the maximum point of the function f (x) = x² - x on the o terval [-2,2]?

A:

Q: Show that f(x) =12(logx+1)+x² -10x+3 is a maximum when x=2, a minimum when x=3;

A:

Q: If we have to integrate a function, what is the first thing come into our mind?

A:

Q: Find the derivative of the function by the limit process. 7 f(x): x - 9

A: Given,          The function is fx=7x-9.

Q: Suppose the graph of f(x) = x3is compressedvertically using a factor of 1/3and then shifted to…

A: Given : The parent function is f(x ) = x3 . The graph of f(x) = x3 is compressed vertically using a…

Q: Give information on this application of derivatives:  Optimization

A: Topic:- application of derivatives

Q: Suppose that the function y=f(x) is increasing on the interval (-1,5). Over what interval is the…

A: The x-5 is offsetting the input of x. The beginning of the function increase is at x-5=-1 and the…

Q: Sketch the graph of a function on [-1, 2] that is discontinuous but has both an absolute maximum and…

A: There are many ways to draw the graph with given conditions. One such a graph is as shown below.

Q: Use bisection method to find the maximum of log(x)/(1+x^2).

A: It is given that

Q: Compare the graphs of the functions. Y1 = In(2x) and Y2 = In 2 + In x

A:

Q: Find the derivative of the function by the limit process. PX) = x - 9x + 1

A:

Q: Find the specific that h (-3) =7 function satisfies hlx)こ 6-5x+x and

A:

Q: 4) Use the Limit Definition of a derivative to find f '(3) if f(x): %3D 5-x

A: Given:- f(x) =2/(5-x)  To find:- Use limit Definition of a derivative to find f'(3)

Q: Sketch the graph of a differentiable function y f(x) through the point (-2,2) if f'(-2)=0 and…

A: Given: To sketch the graph of the differentiable function function y=f(x) through point (-2, 2) if…

Q: Sketch the graph of an increasing function such that f'' (x) changes from + to − at x = 2 and from −…

A: Sketch the graph of an increasing function such that f”(x) changes from + to - at x = 2 as follows.

Q: Explain derivatives on optimization ?

A: Topic:- derivatives

Q: Find the derivative of the function by the limit process. f(x) = 5 − 2/3 x

A:

Q: Suppose that a function f whose graph contains no breaks or gaps on (a, c) is increasing on (a, b),…

A: Given, Suppose that a function f whose graph contains no breaks or gaps on (a, c) is increasing on…

Q: Find the derivative of f (x) = In(3x² – x)³ in two different ways; (a) with the chain rule %3D | and…

A: Given fx=ln3x2−x3aUsing Chain Rulelnfx'=1fxf'xDifferentiate w.r.t…

Q: Suppose you find the linear approximation to a differentiablefunction at a local maximum of that…

A: It is known that the linear approximation of a differentiablefunction at a local maximum of that…

Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…