determine where the function is increasing or decreasing for  f(x) = 8x^2 + 3x + 9

Q: Find the slope of the graph of the function at the given point.

A: Given: fx=3x2-4x Given point is 1, -1

Q: Which shows where the function is decreasing?

A: The graph of the function f(x) is shown. The function f is increasing if the derivative of function…

Q: Differentiate the function using the three step rule. Show your solution. f(x)=(x)/(√(x-4))

A: You must have idea about three step differentiation method.

Q: Differentiate F(x)=x sec^-1(x³)

A: Given, F(x)=xsec-1(x3)

Q: Find the points of inflection of the function f(x)=esinx.

A: Inflection point is the point where concavity of graph of function changes. At this point double…

Q: of function

A:

Q: Find the derivative of the function by quotient rule. f(x) = 3x+7 5х-2

A: Use the quotient rule to differentiate the given function as in next step.

Q: Find the exact location of all relative and absolute extrema of the function ƒ (x) = 2x² + 8x +1…

A:

Q: Explain how you might differentiate a piecewise function like |x| When it's differentiable, for…

A: We can use the concept of calculus and function in order to solve the given question.

Q: Differentiate the function using quotient rule. 3x y = 2х + x2

A:

Q: Find the second derivative. f(x) = 5x10 - 19x5 – 11x3 + 2 f"(x) =

A:

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

A:

Q: What are the expressions simplified and are the functionsinverses?

A: We will show that, both f°h and h°f are identity maps on their respective domain. Then, we can claim…

Q: Find the derivative of the function by quotient rule. f(x) = 3x+7 У 5а-2

A:

Q: Find the point of inflection of the graph of the function. f(x) Exvx + 6

A:

Q: The initial weight of a container is 6.2 pounds. As water is added to the container, the weight…

A:

Q: When is a function said to have the Intermediate Value Property?

A: Let f(x) be any  function which is continuous and defined in the interval [a, b].

Q: use th eproduct rule or the quotient rule to find the derivative of f(x)=(x^2+x-8)/x^2-8

A:

Q: sketch the graphof the function.f(x)=3^{-x^{2}}

A: we have to sketch the graph of f(x)=3^{-x^{2}}

Q: Explain how the vertical line test is used to detect functions.

A: Vertical line test: Draw a vertical line on the graph of the given equation. If the line passes…

Q: Sketch the graphs of two distinct functions with the property f′(x)=−x^2+x

A:

Q: Differentiate the function using any appropriate method

A: Our objective is to find the derivative.

Q: Calculate the derivative. f(x) = 2x 3 - 3x2 + 2x

A: The function is given as fx=2x3-3x2+2x Differentiate the above function w.r.t 'x'…

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing. show…

A: Topic = Functions

Q: a) f'(-3) where f(x) = 5-3x

A: Derivative using definition

Q: Use derivative to identify open intervals on which the function is increasing or decreasing.…

A:

Q: Find derivative of f(x)=(2x2+5)4

A:

Q: Differentiate the function.   f(x)  =π2

A: Given:fx=π2

Q: sketch the graphof the function.y = 2−x2

A: Graph of the function can be drawn with the help of the points that lie on the curve. Substitution…

Q: ³√xy = 2x²y-8x

A:

Q: The cost to fence in a backyard is $1000 for an area less than or equal to 100 m2. An area greater…

A: Cost function = Average cost / Area

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

A: I use second derivative test to find out where distance is minimum

Q: Find the range of the function y = -4(x – 3)2 + 4. O (-∞, ∞) O (-∞, –4] O [3, ∞) O (-∞, 4) O [-4, ∞)…

A: Range of function :  The set of all values of the dependent variable for which a function is defined…

Q: 3x y = 2х + x2

A: The given function is y=3x2x+x2 quotient rule: fg'=f'·g-g'·fg2

Q: Find the location of the absolute maximum and absolute minimum of the function on the interval [ -…

A:

Q: Find the fifth derivative of  f ( x) = 3 x 3 - 7 x 2 + 6. Use correct notation.

A:

Q: What is the end behavior of the function as x approaches negative infinity and positive infinity

A:

Q: Find the point on the graph of the function that is closest to the given point. (х) 3 (x - 1)2, (-5,…

A:

Q: Find a linear function that approximate f(x) : 27. = x 3 near x =

A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…

Q: use the second derivative test to find and characterize all the relative extremes of f(x)=2x4-24x3+4

A:

Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

A:

Q: Sketch the graph of the function over the indicated interval plot two exact points. y = 2tan( 7x-),…

A: to sketch the graph of the function

Q: Give two examples of functions that are not differentiable.

A: The function is non differentiable at points where limit does not exists or infinite

Q: Express the area A of a rectangle as a function of the length x if the length of the rectangle is…

A: The area of the rectangle is given by the formula A=l×w where l is the length of the rectangle and w…

Q: Differentiate the function using four-step rule

A: Find fx+h,fx. fx=3x2+6x-5fx+h=3x+h2+6x+h-5             =3x2+3h2+6hx+6x+6h-5

Q: differentiate the function: f(x) = 6x ln(5x) -6x f'(x)=

A: Use sum rule for differentiation.

Q: Find the derivative: 1. f(x) = √(-2x2+1)

A: Given fx=-2x2+1  Or you can write it as fx=1-2x2

Q: You have 600 feet of fencing to enclose a rectangular field. However, one side of the field lies…

A: To Determine: Express the area of the field, A, as a function of one of its dimensions, x. Given:…

Q: Use function notation to represent that your annual salary after working five years at your job is…

A: We will find the required function as following.