Question

Asked Jan 16, 2020

10 views

If x moves from a to a nearby value a + dx, how do you estimate the corresponding change in the value of a differentiable function ƒ(x)? How do you estimate the relative change? The percentage change? Give an example.

Step 1

**First of all, consider a differential function f (x).**

**Consider two points a and a + dx on x axis.**

**The point on y axis corresponding to a is f (a) and a + dx is f (a + dx).**

**Therefore, the change in y is delta y and delta y are equal to f (a + dx) – f (a).**

Step 2

**Now, to calculate the change in the differential function f (x) consider the y diagram.**

**Calculate the change in the differential function f (x) from point a to the nearby point a + dx.**

Step 3

Again, consider the diagram to calculate the relative change.

**To calculate the rel...**

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: find a linearization at a suitably chosen integer near a at which the given function and its derivat...

A: (1)Given:

Q: What are the derivatives of the inverse trigonometric functions? How do the domains of the derivativ...

A: The inverse trigonometric functions are

Q: Estimate the allowable percentage error in measuring the diameter D of a sphere if the volume is to ...

A: It is given that , volume has to be calculated correctly to within 3%.

Q: Water is flowing at the rate of 50 m3/min from a shallow concrete conical reservoir (vertex down) of...

A: Water is flowing at rate of 50 m3/ min from a shallow concrete conical reservoir of base radius 45 m...

Q: write a differential formula that estimates the given change in volume or surface area. The change i...

A: Provide the function as shown below.

Q: Exercise 5: Compute / f(x)g" (x) – g(x)f"(x) dx.

A: Write the integration using two parts

Q: Suppose that ƒ(-1) = 3 and that ƒ′(x) = 0 for all x. Must ƒ(x) = 3 for all x? Give reasons for your ...

A: Given that

Q: Graph the equation |x| + |y| = 1 + x.

A: Given equation is

Q: What functions have inverses? How do you know if two functions ƒ and g are inverses of one another? ...

A: To describe the functions that have inverses and describe the functions f and g inverses of one anot...