Question

Dy/dx
${x5 + x3 + 4x \frac{1}2} + 7$

Answer 1

Heya.......!!!

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Your Question :- dy / dx ( x^5 + x^3 + 4x^(1/2) + 7 .

=> d/dx ( x^5 ) + d/dx ( x^3 ) + d/dx ( 4x^(1/2) ) + d/dx ( 7 )

Simply applying power rule : x^n = nx^(n-1)

=> 5x^4 + 3x^2 + 2x^(-1/2) + 0

$= >\: final \: answer \: \: =\: \: 5x {}^{4} + \: 3x {}^{2} + \: \frac{2}{x {}^{ \frac{1}{2} } }$

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