Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 11-science Answered

Obtain dy/dx of x²+2/x³+5

Asked by innocentshah178 | 10 Nov, 2021, 11:57: PM
Expert Answer
Let y = u / v
 
Then dy/dx is given as
 
begin mathsize 14px style fraction numerator d y over denominator d x end fraction space equals space fraction numerator v begin display style fraction numerator d u over denominator d x end fraction end style minus u begin display style fraction numerator d v over denominator d x end fraction end style over denominator v squared end fraction end style................................... (1)
begin mathsize 14px style y space equals space u over v space equals space fraction numerator x squared plus space 2 over denominator x cubed plus 5 end fraction end style
du/dx = 2x     ; dv/dx = 3 x2
 
then we get
 
begin mathsize 14px style fraction numerator d y over denominator d x end fraction space equals space fraction numerator left parenthesis x cubed plus 5 right parenthesis space left parenthesis 2 x right parenthesis space minus space left parenthesis x squared plus 2 right parenthesis left parenthesis 3 x squared right parenthesis over denominator left parenthesis space x cubed plus 5 space right parenthesis squared end fraction space equals space fraction numerator negative x to the power of 4 minus 6 space x squared plus 10 x over denominator left parenthesis x cubed plus 5 right parenthesis squared end fraction end style

Answered by Thiyagarajan K | 11 Nov, 2021, 08:21: AM
CBSE 11-science - Maths
Asked by innocentshah178 | 10 Nov, 2021, 11:57: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by adarshbsp1234 | 16 May, 2020, 01:34: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 25 Jul, 2014, 04:40: PM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 10 Nov, 2016, 03:05: AM
ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
×