Describe the two methods that help to differentiate the equations implicitly, and find the derivative? Explain with examples?

Q: find the derivative using increment method show complete solution thanks, i'll like back y=x^(3)…

A: To find the derivative of y=x3-x-2 using the increment method. Note that the derivative using…

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

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Q: Explain how to apply the First Derivative Test.

A: Explain how to apply the First Derivative Test.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given :            y = 4(x + 2)2 , (0, 1) To find the slope of the function at the given point.

Q: What is the meaning of a derivative?

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Q: Explain how to apply the Second Derivative Test.

A: The second derivative test is used to find the relative maxima or relative minima. The second…

Q: what are the real-life application of differentiation

A: Differentiation refers to finding the rate of change of one quantity wrt the other.

Q: Which defines as the process of finding the derivative of a function? *

A: Here, to tell which defines as the process of finding the derivative of a function.

Q: State the Second Derivative Test

A: Second Derivative Test:   This is used to find local extrema.

Q: How can you use directional derivatives to estimate change?

A: Let f be a differentiable function. The directional derivative of f in a particular direction at a…

Q: Give 5 examples of derivative of inverse hyperbolic function with solution

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Q: How do you find the derivative of a constant multiplied by afunction?

A: If f(x) is any function and let y=cf(x)            function f(x) multiplyed with a constant, c is…

Q: FIND THE DERIVATIVE OF THE FUNCTION.

A: The given function is fx=x3-3x2+4x2.

Q: A. FIND THE DERIVATIVE OF EACH FUNCTION. DO NOT SIMPLIFY YOUR RESULT. et 17. f(x)

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Q: What is curve sketching in application of derivatives?

A: We need to answer what is curve sketching.

Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fg. Ix² Əy²

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Q: erivative

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

Q: Is the function above differentiable everywhere? Explain using derivatives.

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Q: Using the definition, calculate the derivative of the function = 2t3.

A: The given function is: s=2t3

Q: Describe the Second Derivative Test in your own words

A: A second derivative test is conducted to find the relative maxima and  minima of a given function.

Q: Determine the anti derivative of the function.

A: Given Data: Function: fx=2x35+10x5-74x Similified the given function f(x).…

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: What are the applications of these derivatives?

A: First derivative tells the rate at which the original function changes.  Second derivative tells the…

Q: What is Newton's method in application of derivatives?

A: We have to write what is Newton's method

Q: 1. f(x)=(2x-5) ¹ (4x+3)²

A: We need to find derivative.

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx *please explain step by…

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Q: Identify the derivative with complete solution.

A: The given function is fx=5sec2x+20 To find: Derivative of f(x) In the given function sec(2x) is a…

Q: derivative of

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Q: What is a derivative?

A: The derivative of a function can be defined in two ways, one approach is graphical and other…

Q: %3D Find the second derivative of f(x) = 3e*-8e-6x

A: We have to find the second derivative of the function: fx=3e5x-8e-6x We know the formula of…

Q: I need to find the derivative of some calculus equations

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Q: Determine the anti derivative of the function please

A: Here given function as fx=3ex+11-x2-2sec2x-71+x2

Q: Draw the function x = 2y- y2 by using the tools of derivatives? %3D

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Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

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Q: sec- 1 2. у %3D| tan

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Q: Give examples of still other applications of derivatives.

A: Derivatives have various important applications in Mathematics such as:Rate of Change of a…

Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fe.

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Q: y = x-12; (4,) Use the derivative feature of a graphing utility to confirm your results.

A: We will solve the following

Q: derivative

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Q: Illustrate the Derivative of Cosecant Function ?

A: Illustrate the Derivative of the Cosecant Function?

Q: Give some examples of differentiation, linear and non linear in real life situations (preferably in…

A: Differentiation 1)To calculate the profit and loss in business using graphs. 2)To check the…

Q: What information can be obtained from derivatives? Please provide 2 examples from the real world and…

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Q: Then the derivative of

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Q: Find the derivative using the definition of the equation.

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Q: The Definition of Derivative

A: Question is solved.

Q: ______ provide a means to predict the value of a function at one point in terms of the function…

A: Given: Let us consider the given statement, "______ provide a means to predict the value of a…

Q: What is the definition of the derivative (Difference Quotient)?

A: 2. What is the definition of the derivative(difference quotient)? ans. In single-variable calculus,…