: numbers in the domain of a function that cause its derivative to be zero or undefined.

Q: use definition to show that the function f(x)= |x|^3 is differentiable at 0, with derivative equal…

A: We have to use definition of differentiable:

Q: Find the derivative of function defined as follows.

A: Given:  y = 6x4 - 2x3 + 5x+ 3To Find:  Derivative of y that is dydxSolutionWe will find the dydx by…

Q: Find the derivative of the algebraic function.

A:

Q: 2h lim h→0 h(/2x+2h+/2x)

A: Given, limh→0 2hh2x+2h+2x The definition of derivative is given by fx=limh→0 fx+h-fxh

Q: Find the derivative of the function. 21/4 1/2 +1

A:

Q: Compare the right-hand and left-hand derivatives to determine whether or not the function is…

A: Follow the procedure given below.

Q: Determine whether each of the following statements is true or false, and explain why.The derivative…

A: Given statement is  "The derivative of a function exists wherever the function is continuous." The…

Q: se part one of the fundamental theorem of calculus to find the derivative of the function. g(x) (x)…

A: We have to find derivative

Q: Find the anti-derivative for each function when C equals zero. 

A:

Q: Use the definition of a derivative to determine all points for the function f(x) = ((x+|x|)^2)+1 is…

A:

Q: Find the derivative of the function. f (x) = 1/ ( 1+ x 2  )

A:

Q: Let y=x+∣∣x2−8∣∣. Find the derivative of the function at x=3.

A: Given that y=x+x2-8.

Q: Find f'(a) using the definition of the derivative at a point for: f(x). 1 = √x at a = 4.

A: Find derivative using  definition of f(x)=1x at a=4

Q: Graph the derivative of the function in Figure, omitting points where the derivative is not defined.

A: Consider the function: y=12x2

Q: Find the derivative of the function f(x)=(sqrt(x-1)^2))/x^2+1)

A:

Q: 1 . Use the definition of the derivative to compute f'(x) if f(x)

A: We use the limit definition of f'(x)

Q: Sketch the graph of the derivative for function shown.

A:

Q: Consider the function as folows:-   r(x) = 2x - 5 /(3x + 1)2 In general, how do you find the…

A: Given function: rx=2x-53x+12 We can write the function as rx=2x-53x+1-2 Differentiate the above…

Q: Match the graph of the above function with the graph of its derivative. 0 ㅇ O 수 +

A: The given graph of the function is the graph of a semi circle. Or positive side of the circle.

Q: Find the derivative of the function f(x) = 8x2 – 13x by the definition of derivatives f(x + h) –…

A: on using this formula we get = 16x-13

Q: Choose the correct graph of the function (in blue) and its derivative (in red) below. O B. c.

A: We will use the fact that where the function has maxima and minima derivative graph will show value…

Q: 3 Use the definition of derivative to find f'(x) for f(x): II

A: Given:

Q: Match the graph of f, below, with that of its derivative. -2 -1 1 2 3 4 1- -2 4 6 -4+ -3- -6+

A: This question is related to Functions and its derivative, we will solve it using given information.…

Q: Give the derivative formula for the function. g(x) = 2.1* + g'(x) =

A:

Q: Sketch the graph of the derivative for function shown.

A: Plot the derivative for -∞<x<0. The function f(x) is constant in the interval -∞<x<0 so…

Q: Suppose the derivative of the function y = ƒ(x) is y′ = (x - 1) 2(x - 2)(x - 4). At what points, if…

A: It is given that, the function f(x) has the derivative

Q: Give two different interpretations of the derivative of the function y = f(x) at x = a.

A: If f(x) represents a quantity at any x then the derivative f′(a) represents the instantaneous rate…

Q: Suppose the derivative of the function y​f(x) is (x-1)^2(x-5)(x-2). At what​ points, if​ any, does…

A:

Q: Give a justified example of function f(x) that is differentiable everywhere, yet its derivative has…

A: Definition of Differentiability p(x) is said to be differentiable at the point x = b if the…

Q: Find the derivative of function defined as follows. y = (x3 + 2)(x2 - 1)4

A: Given: The function y=x3+2x2-14, To determine: The derivative of the given function.

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A:

Q: b) f(x) = (e* (Inx² – 3))*

A:

Q: 5. What is the definition of the derivative of a function f(x) ?

A:

Q: State the formula for the definition of the derivative of a function f (x) provided x is any number…

A:

Q: Find the derivative of the function.

A:

Q: Obtain the derivative of the function f(2)% 3 -3a° – a* + 4x. Enter your answer as a function of a :

A: Given that f(x) = -3x2 - x4 + 4x  Find derivative of this function f(x). We know that derivative of…

Q: f(x)

A:

Q: The derivative and antiderivative of a function are unique. O True False

A: derivative of a function is always unique  but integration is not unique, it depends on constant…

Q: The graph of function f(x) is shown below. At which value of a is the derivative of the function…

A: The graph of the function

Q: Let f(x) = x-3 Use the definition of derivative to find f'(x). %3D 2C

A: Given : fx = xx-3

Q: Let f(x) = 4x + . Use the definition of the derivative to find f'(1).

A: Solve

Q: Let f(y) -8+ In Determine the derivative f'(y) : ||

A: The function is given as, fy=-1-8+lny. The derivative of the function , f'y=-0-0-8+lny2=0. The…

Q: find the derivative of the transcendental function y=4e^x/x^2+9

A: y=4exx2+9

Q: Sketch the graph of a function whose derivative satisfies the properties given in the following…

A: Graph

Q: Suppose the derivative of the function y = f(x) is y' = (x-9)2(x+6). At what points, if any, does…

A:

Q: Determine whether each of the following statements is true or false, and explain why: The derivative…

A: The given statement is, The derivative of a sum is the sum of the derivatives.

Q: find the derivative of the function:   f(x) = det [ -1  -4  3  -4  -3 ]                  [  3   0…

A: To Determine: find the derivative of the function that is f'(x) Given we have a determinate…

Q: The graph of a function is shown together with the tangent line at a point P. y 5 4 3 2 1 2 3 4 6. 7…

A: topic- tangent

Q: Use the definition of the derivative of a function to determine f'(x) where f(x)=-

A:

Q: 3. Draw a line to match the graph of each function with the graph of its derivative Functions…

A: This graph is decreasing first, that means f'(x)<0 first. Then it is increasing. That means…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.