Math, asked by IRONFIST, 1 year ago

find the derivative of x^-3(5+3x)

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Answered by ramandeep47

7

5+3x/x^3
Using quotient rule,
=x^3d(5+3x)/dx-(5+3x)d(x^3)/(x^3)^2
=x^3(3)-(5+3x)(3x^2)/x^6
=3x^3-15x^2-9x^3/x^6
=-6x^3-15x^2/x^6
=-6/x^3-15/x^4

anisha70: x^-3 is in multiply . How it become in divide

IRONFIST: yes you are right

ramandeep47: By doing reciprocal

anisha70: but it can solve by product rule

Answered by anisha70

20

x^-3(5+3x)
(5+3x)(x^-3)'+(x^-3)(5+3x)'
(5+3x)(-3x^-4)+3x^-3)
-15-9x/x^4 +3/x^3
-15-9x+3x/x^4
-3/x^4(5+3x-x)
-3/x^4(5+2x)

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