Question: Given y = (u) and u = g(x), find dy/dx = (g(x))g(x). y = -sec u, u = 1/x + 7x

Given y = ƒ(u) and u = g(x), find dy/dx = ƒ′(g(x))g′(x).

y = -sec u, u = 1/x + 7x

Step by Step Solution

★★★★★

3.48 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To use the chain rule to find dydx we need to first find u and gx and t... 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 Precalculus Questions!

Q:

Explain the requirements of a negotiable instrument. Identify the six real defenses and what is the significance of a real defense?

Q:

The variables x and u are related by ux = 2. The variable y is dependent on x. a. Show that b. Show also that reduces to 16d 2 y/du 2 8 dy/du + y = u and find the general solution in the form y =...

Q:

1. Use double integration in polar coordinates to find the volume of the solid that lies below the surface z = 5 + x y and above the circle x 2 + y 2 = x in the xy-plane. 2. Find the area of the...

Q:

use the chain rule. 1. If y = u 2u and u = x x, find dy/dx. - 2. If y = 3. If y= 2u 8u and u = 7x x, find dy/dx - 1 and w = 3x - 5, find dy/dx. W

Q:

Given the functions: f(x) = -6x g (x) = x+3 h ( x ) = - 1 x - 2 Evaluate the function (g- h) (3) for the given value of x. Write your answer as an integer or simplified fraction. Select "Undefined"...

Q:

Question one. Chepa's utility function is given by U (x, y) = ln x + 4 ln y. Assume that Chepa has endowments (10, 10) and that Py = 10 throughout the problem. I need help with questions G) and H)...

Q:

The value of tan x is given. Find sin x and cos x if x lies in the specified interval. 3x 4 tan x = -, XE ,- 2 Find sin x. sin x = (Type an exact answer, using radicals as needed.)The value of cos x...

Q:

QUESTION 1 . 1 POINT Given the following functions, find and simplify (f . g) (9.5). f (z) = -2+2 g(x) = -12x - 8 Provide your answer below: (f .g)(9.5) =QUESTION 2 . 1 POINT Which of the following...

Q:

Hi, Please answer the following showing step by step. Thank you! Review Derivative Formulas The Constant Rule (c) = 0, where c is a real number The Power Rule For all non-zero constants n, da (a" ) =...

Q:

Graphics Describe a quad-tree encoding method for greyscale images. [6 marks] Given the following greyscale image, draw a diagram showing how it would be encoded using your method from the previous...

Q:

Privack Corporation has a standard cost system in which it applies overhead to products based on the standard direct labor-hours allowed for the actual output of the period. Data concerning the most...

Q:

Following is the Receipt and Payment account of Rohatgi Trust: Receipts Cash in hand Cash at Bank Receipt and Payment Account for the year ending December 31, 2017 Amount Payments Rs 14,000 Rent...

Q:

It is desirable that measurements of advertising effectiveness focus on sales response rather than on some precursor to sales, yet measuring sales response to advertising is typically difficult. What...

Q:

What other teaching functions do stories have in addition to the ones we note in this chapter?

Q:

What is the domain and the range of y = sec x?

Q:

In problem, graph each function and its inverse on the same Cartesian plane. f(x) = 4*; f'(x) = log4 x

Q:

In problem, graph each function and its inverse on the same Cartesian plane.

Q:

Required information [The following information applies to the questions displayed below.] Davis Stores sells clothing in 15 stores located around the southwestern United States. The managers at...

Q:

Wardell Company purchased a mini computer on January 1 , 2 0 2 2 , at a cost of $ 4 7 , 6 5 0 . The computer has been depreciated using the straight - line method over an estimated five - year useful...

Q:

Fullerton Waste Management purchased land and a warehouse for $740,000. In addition to the purchase price, Fullerton made the following expenditures related to the acquisition: brokers commission,...