f(x)= 5ln(x)/x^7
3 answers
Is there a question here?
Derivative, my apologies.
so y= f(x) then
x^7*y=5ln(x)
7x^6*y+y'x^7=5/x
solve for y'
a bit of algebra will be required. I will do it onscreen but check it, easy to make an error on a keyboard.
y'= 1/x^7 * (5/x -7x^6*5lnx/x^7)
= 1/x^7 * (5/x-35lnx/x) check it.
x^7*y=5ln(x)
7x^6*y+y'x^7=5/x
solve for y'
a bit of algebra will be required. I will do it onscreen but check it, easy to make an error on a keyboard.
y'= 1/x^7 * (5/x -7x^6*5lnx/x^7)
= 1/x^7 * (5/x-35lnx/x) check it.