5x log10x-6
To find derivative of 5x log10x-6 .
y=5xlog10x−6y=5x \log10x-6y=5xlog10x−6
On differentiating both sides w.r.t xxx,
y′=5x(log10x)′−log10x(5x)′−0=5x(110x.10)−log10x(5)=5−5log10xy'=5x(\log 10x)'-\log 10 x(5x)'-0 \\=5x(\dfrac1{10x}.10)-\log 10x (5) \\=5-5\log 10xy′=5x(log10x)′−log10x(5x)′−0=5x(10x1.10)−log10x(5)=5−5log10x
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