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CBSE Class 11-science Answered

Differentiation of square root of x cubed plus 4 end root
Asked by Jhalakangrak123 | 17 May, 2019, 09:00: PM
answered-by-expert Expert Answer
Let y = f(u) , where u = u(x) is another funcion.
 
then dy/dx = (df/dx)×(du/dx)
 
y = begin mathsize 12px style square root of x cubed plus 4 end root end style
begin mathsize 12px style fraction numerator d y over denominator d x end fraction space equals space fraction numerator 1 over denominator 2 square root of x cubed plus 4 end root end fraction fraction numerator d over denominator d x end fraction open parentheses x cubed plus 4 close parentheses space space equals space fraction numerator begin display style 1 end style over denominator begin display style 2 square root of x cubed plus 4 end root end style end fraction 3 x squared space equals space 3 over 2 fraction numerator x squared over denominator square root of x cubed plus 4 end root end fraction end style
Answered by Thiyagarajan K | 17 May, 2019, 10:26: PM
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