Question

compute the derivative
y=log10 (5x^4-2/x^3)

Answer 1

\[\Large y= \log_{10}\left( 5x^4-2\over x^3 \right)\]

this can be simplified to:\[\Large y= \log_{10}\left( 5x^4-2 \right)-\log_{10} \left(x^3\right)\]

Answer 2

find the dervative using chain rule , and using:\[\large \log_{10}(b)={\ln(b)\over \ln(10)}\]

Answer 3

no Its 2 over X^3 not he whole thing .\[y=\log_{10} \left( 5x ^{4} -2\div x^3\right)\]

Answer 4

if: \(\Large y=\log_{10}\left( f \left( x \right) \right)\)
using chain rule:
\[\large y'={1 \over \ln(10)}\times \left( 1\over f(x) \right)\times f'(x)\]

Answer 5

ok

Answer 6

http://www.wolframalpha.com/input/?i=differentiate+log_10%285x%5E4-2%2Fx%5E3%29

Answer 7

Thank you ! May God bless you !