Answer to Question #292084 in Calculus for S banik

Question

5x log10x-6 

Answer 1

To find derivative of 5x log10x-6 .

Solution:

$y=5x \log10x-6$

On differentiating both sides w.r.t $x$,

$y'=5x(\log 10x)'-\log 10 x(5x)'-0 \\=5x(\dfrac1{10x}.10)-\log 10x (5) \\=5-5\log 10x$