posted by Jean on .
Compute the derivative of f(x)=5^x^2+1 using logarithmic differentiation.
Check using the following formula:
I never did like formulas.
remember that derivative of ln(g(x))=g'(x)/g(x)
ln f(x)= (x^2+1)ln5
take the derivative
f'(x)/f(x)=2x*ln5 + 0
Now comparing this to your 'formula':
Hmmm same thing.