What is the derivative of $5/x^7$ ?

Question

3587 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-25T06:22:23

$(d y)/(d x)=-35x^-8$

$y=5/x^7$

$y=a/b" "y^'=(a^'*b-b^'*a)/b^2$

$(d y)/(d x)=(0*x^7-7*x^6*5)/x^(14)$

$(d y)/(d x)=-(35x^6)/x^14$

$(d y)/(d x)=-(35)/x^8" "=-35*x^-8$

$" or :"$

$y=5*x^-7$

$y=a*b$

$y^'=a^'*b+b^'*a$

$(d y)/(d x)=-7*0*x^-8-7*x^-8*5$

$(d y)/(d x)=0-35x^-8$

$(d y)/(d x)=-35x^-8$

What is the derivative of 5/x^75/x^7?