graph each function. Then use the function’s first derivative to explain what you see. 1. y = x^(2/3) + (x - 1)^(2/3) 2. y = x^(2/3) - (x - 1)^(2/3)

Q: What is the derivative of x^6

A: We have to use exponent rule.d/dx(x^n)=n*x^(n-1)

Q: Explain how the first derivative of a function determines where the function is increasing and…

A:

Q: What is the derivative of 4^x?

A:

Q: What is the derivative of this graph?

A: If you see graph interval (-6,-3)                              this line passes through (-4,-2) and…

Q: Describe geometrically when a function typically does not have a derivative at a point.

A: To describe geometrically when a function typically does not have a derivative at a point.

Q: What is the shape of a graph in application of derivatives?

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: What function could have −4x+20 as its derivative?

A:

Q: x2-3 5. 4 +x2

A: Derivative of function

Q: Describe the two methods that help to differentiate the equations implicitly, and find the…

A: The two methods that help to differentiate the equation implicitly and derivative…

Q: In the given equation, find the slope of the graph of the function at the given point. Use the…

A: Given- y=2x4-3 To find- The slope of the function at the point 1,-1 and Use the derivative feature…

Q: Graph the derivative of the function graphed on the right.

A:

Q: A calculus professor introduced the derivative by saying that it could be summed up in one word:…

A: Meaning of word of calculus professor who intoduced the derivative by saying that it could be summed…

Q: Explain how to graph the derivative of a function given the graph of the function.

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: Find the derivative of y= 4tan5α

A:

Q: solve for the first and second derivative of the function:

A: Given function is: f(x)=log2 cos x + ln π We need to find the first and second derivative of the…

Q: Explain how to write an equation of the tangent line to the graph of f(x) = x2 at (2, 4).

A:

Q: What is The Derivative Of (5/✓x)+100/x

A: To find the derivate of (5/✓x)+100/x

Q: What is the second derivative of: -(4-x^2)^1/2

A:

Q: In the given equation, find the slope of the graph of the function at the given point. Use the…

A: y=4x+12   at    0, 1

Q: Find the derivative of sech(2x1/9)

A:

Q: Write the derivative of 9ln(x)

A: We can solve this problem using differentiation.

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: FIND THE THIRD DERIVATIVE OF A FUNCTION

A: Given, The function  fx = 11x2+9x-723x-5x2 We have to find the third derivative of the function.

Q: erivative

A: We have to write the derivative of  y=15(16x)

Q: How to solve for the derivative of 5x^(1/2)- 4x^(-1/2)-1, fully simplified?

A: Given:5x1/2 - 4x-1/2 - 1To determine the derivative.

Q: Calculate the derivative of the function y=6x100+7x50+8x.

A: To calculate the derivative of the function y=6x100+7x50+8x

Q: Answer fast. Find the 5th derivative of 3x^5 - 3x^3 + (1 /x^2).

A: We differentiating with respect to x continuously 5 times to get the required 5th derivative.

Q: Discuss the solution on how to get the derivative of the function

A: This question is related to differentiation, We will solve it using given information.

Q: one leg of a right triangle is 1 in/min and the other leg increases 2 inches per min. What is the…

A: Let the first leg of the right triangle be a and the other leg be b. Let the hypotenuse of the right…

Q: how do i identify which is the first derivative, second derivative, and original graph

A: Given information: Draw the graph with labeled points.

Q: Find the derivative of (x-x^4)/(7/x^2+6/x^3)

A: Formula used:

Q: Find the  derivative of  (x2secxtanx )

A:

Q: Find the second derivative of y = -5 %3D -

A:

Q: Find the derivative

A: Given function - y = 10x5-2x3+4x-9x-10y = 10x5-2x-3+4x-9x12-10x0Using differentiation formula -…

Q: In your own words, describe how to recognize when to use the Product Rule, when to use the Chain…

A: Product rule of differentiation can be applied when the product two given functions f(x) and g(x)…

Q: Please provide an example of real life computation and application of derivatives

A: Follow the steps.

Q: find derivatives with different variables

A:

Q: Find the function whose tangent line slope is 3 and whose graph passes through (1,-1)

A:

Q: 3 y = х-5

A:

Q: Find the derivative of the function without using the Quotient Rule. 4x -27 y' = ( 4x10)

A:

Q: Solve using applications of the derivative

A: Given problem is :

Q: Find the derivative of the function. y = eV7x2- 9

A: y=e7x2-9 To Find: Derivative of the function

Q: How do we know when to use implicit differentiation?

A: Implicit differentiation is the procedure of differentiating an implicit equation with respect to…

Q: us to find the derivative of x) = Vt3 + 27dt -3

A:

Q: Find the indicated derivative in its simplified form: Kindly show the detailed solution, thank you!

A:

Q: Find the derivative, simplify as much as possible, thank you!

A:

Q: Calculate the second and the third derivative of y = 5x- 9 y": y"

A: Using derivatives rule & formula.

Q: Find the first and second derivative if y=4-2x-x-3

A:

Q: Calculate the derivative of the function f (x) =-5x + 2 and plot the function and its derivative on…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: