5. Differentiate a) y²=3x²y+4xy² b) y=2x²-3x+1 2x+2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. Differentiate
a) y²=3x²y+4 xy²
2x²-3x+1
b) _y=² 2x+2
Transcribed Image Text:5. Differentiate a) y²=3x²y+4 xy² 2x²-3x+1 b) _y=² 2x+2
Expert Solution
Step 1

Given : 

a) y2=3x2y+4xy2

b)  y=2x2-3x+12x+2

To differentiate the given function.

Following differentiating formulas are used-

    ddxfx±gx=ddxfx±ddxgx   ddxafx=addxfx       ddxfxgx=fxddxgx+gxddxfx       ddxxn=nxn-1       ddxax=a         ddxa=0

Here, a is the constant and fx and gx are the differentiable functions.

 

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