Question

Log Derivative

Answer 1

\[f(x) = \ln [ x^ {7} (x + 3)^ {7} (x^2 + 7)^ {3} ]\]
f'(x) =

Answer 2

I'd log your derivative.

Answer 3

@iPwnBunnies

Answer 4

if f(x) = ln(u)
wouldn't f'(x) = (1/u)(du/dx)?

Answer 5

someone help me please

Answer 6

whatcha need mark?

Answer 7

\[f \left( x \right)=\ln x^7+ \ln \left( x+3 \right)^7+\ln \left( x^2+7 \right)^3\]
\[=7 \ln x+7\ln \left( x+3 \right)+3\ln \left( x^2+7 \right)\]
\[f \prime \left( x \right)=\frac{ 7 }{ x }+\frac{ 7 }{ x+3 }+\frac{ 6 x }{ x^2+7 }\]

Answer 8

uhf just more log properties, my book just doesn't explain this very well :( thank you surj

Answer 9

yw my name is surjit pronounced as surjeet

Answer 10

Oh thats a nice name, thanks again :)

Answer 11

@surjithayer why is the 3rd nomial 6/(x^2 + 7) ?

Answer 12

why is it 6 instead of 3? because of the x squared?

Answer 13

The answer is 6.

Answer 14

\[3*\frac{ d }{ dx }\ln \left( x^2+7 \right)=3*\frac{ 1 }{ x^2+7 }\frac{ d }{ dx }\left( x^2+7 \right)=\frac{ 3*2x }{ x^2+7 }\]

Answer 15

i see.. great :)