Find dy/dx if y = ?

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Showing the working out find dy/dx if y =5/√𝑥

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Answer 1 · 2017-11-15T15:06:37

#(dy)/(dx)=-1/2x^(-3/2) =-1/(2sqrtx^3)#

to differentiate this function we will rewrite it a rational powers, then use the power rule

#d/(dx)(x^n)=nx^(n-1)#

#y=5/sqrtx=5/x^(1/2)=5x^(-1/2)#

#d/(dx)(5x^(-1/2))=(-1/2)x^((-1/2-1)#

#(dy)/(dx)=-1/2x^(-3/2)=-1/2xx1/(x^(3/2)) =-1/(2sqrtx^3)#