Question: Let u be a differentiable function of x. Use the fact that |u| = u to prove that d dx [ul] = wi n u

Let u be a differentiable function of x. Use the fact that |u| = √u² to prove thatd dx [ul] = wi n u 0.

d dx [ul] = wi n u 0.

Step by Step Solution

★★★★★

3.36 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

u u d 2 du... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 10th Edition Questions!

Q:

Let f: S Y be a differentiable function on an open convex set S X. Then for every x1, x2 S, where A = {y Y: y = Df[] (x1 - x2) for some [x1, x2]}. Exercise 4.45 is illustrated in figure 4.8. The...

Q:

Let f: S Y be a differentiable function on an open convex set S X. For every x0, x1, x2 S, f (x1) -f(x2) Df[xo](x1 - x2)||

Q:

Let f: S n be a differentiable function on a convex set S n. Suppose that the Jacobian Jf(x) is positive (or negative) definite for all x S. Then f is one-to-one.

Q:

In Exercises evaluate the definite integral using the formulas from Theorem 5.20. Data from in Theorem 5.20 THEOREM 5.20 Differentiation and Integration Involving Inverse Hyperbolic Functions Let u...

Q:

In Exercises evaluate the definite integral using the formulas from Theorem 5.20. Data from in Theorem 5.20 THEOREM 5.20 Differentiation and Integration Involving Inverse Hyperbolic Functions Let u...

Q:

In Exercises evaluate the definite integral using the formulas from Theorem 5.20. Data from in Theorem 5.20 THEOREM 5.20 Differentiation and Integration Involving Inverse Hyperbolic Functions Let u...

Q:

In Exercises evaluate the definite integral using the formulas from Theorem 5.20. Data from in Theorem 5.20 THEOREM 5.20 Differentiation and Integration Involving Inverse Hyperbolic Functions Let u...

Q:

Please help me with these problems asap! 11. [-/1 Points] DETAILS LARCALC11 2.4.117. Let u be a differentiable function of x, in exercise 123, the following result is proved. u d.x [lu] = u' , u * 0....

Q:

Let u be a differentiable function of x. Assume the following result is proved. d dx [|u|] = u u |u| , u 0. Use this result to find the derivative of the function. h(x) = |9x|cos(2x) h(x) =

Q:

Let u be a differentiable function of x, in exercise 123, the following result is proved. u dax [u = u' , u * 0. Use this result to find the derivative of the function. h(x) = 17x|cos(9x) h ' ( x ) =...

Q:

1) Set your calculator to degrees. You can compute arcsin(x) = sin(x) by pressing the "inverse" or "second function" key, then pressing the "sin" key. (For example, arcsin (1) = 90.) Using your...

Q:

Intersection and conditional probability Suppose that a certain college class contains 47 students. Of these, 30 are freshmen, 22 are economics majors, and 10 are neither. A student is selected at...

Q:

On October 31, 20x1, Landlord rents Tenant three full floors of premium office space in San Francisco for $100,000 a month, with rent to be paid in advance by the 1st of each month. Tenant wants a...

Q:

At the flower shop, where you manage two employees, your employees perform two tasks: caring for the displays of cut flowers and making flower arrangements to fill customer orders. Explain how you...

Q:

Use a table of integrals to evaluate the definite integral. C/2 x sin 2x dx

Q:

Use a table of integrals to evaluate the definite integral. (/2 t cos t dt 3

Q:

The table lists several measurements gathered in an experiment to approximate an unknown continuous function y = f (x). (a) Approximate the integral 2 0 f(x) dx using the Trapezoidal Rule and...

Q:

Use the following information for Questions 4 through 7 : Valley Cottage is issuing a 3 0 - year bond with a face ( par ) value of $ 6 2 , 0 0 0 , 0 0 0 and a stated annual interest rate ( coupon...

Q:

i would like someto check these answers and see if they are right or wrong. if wrong please help 250,000 Mortgage Calculator Mortgage Interest Rate Periods Per year 6 % Mortgage Type (Year) 10 o...

Q:

Jayden Cheah is interested in investing in listed stocks on the ASX. He decided to be informed before investing and chose two stocks listed on the Australian Securities Exchange to research. The...