Problem

Solve the given problems. Explain your answers. $…

Problem 40 Easy Difficulty

Find $y$ in terms of $x$.
$$\frac{d y}{d x}=2 x^{3}\left(x^{4}-6\right)^{4}, \text { curve passes through }(2,10)$$

Answer

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Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 25

Integration

Section 2

The Indefinite Integral

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Video Transcript

we have to find why in terms of facts it has given the question do you ever dX? He wants to to excuse In the bracket extra about four months 6 To the power of six. Sorry to the power of four And curve passes through the point to common 10. Yeah so we can add it the vehicles. Two of excuse. Yeah Actually departed for many 6 to the power for of the X. So we will integrate. Yes and we will subside extra department six by you. So this will be four actually power three of DX because do we will get this by differentiating it with respect to X. So now we can add it via calls to integration of two X cubed DX will be costume one way to of to you. Okay this will be you to give our fault. Okay So we can write it when one by two intake is an abuse of the power four will be due to the power of 515 plus constancy. This will be cost a one way to Us extra about four months 6 Extra. The powerful -6 to the power of five have 15 plus constant C. Okay, so this is the car and this car is passes through the point two comma 10. So this this point will satisfy the occasion on the curl. So this will because you tend was to run upon 10 To the power of 4 -6 to the power of five plus c. So this will be consumed. One appointed To the power of four is 16 -6. That is 10 to the power of file plus E. So she will be cost too 10 managed into the bottle four. Okay, so this will be a costume. Lemonis 10,000 such as the question. Triple line zero. Yeah minus of this. So occasion of the car. Why will be cost Actually part of all -6? The power of five Upon 10 plus C- of 9000, 990. So this will be done equation of the cut. So this is the answer. I hope you understood. Thank.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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Problem

Solve the given problems. Explain your answers. $…

Problem 40 Easy Difficulty

Find $y$ in terms of $x$.
$$\frac{d y}{d x}=2 x^{3}\left(x^{4}-6\right)^{4}, \text { curve passes through }(2,10)$$

Answer

Related Courses

Basic Technical Mathematics with Calculus

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Watch More Solved Questions in Chapter 25

Video Transcript

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Grace H.

Anna Marie V.

Samuel H.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

Basic Technical Mathematics with Calculus

Grace H.

Anna Marie V.

Samuel H.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Grace H.

Anna Marie V.

Samuel H.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus