Derivative of loga x
How to solve the derivative of loga x problems: formula, proof, examples, and their solutions.
The derivative of loga x is 1/(x ln a).
Take the constant 1/(ln a) out.
So [loga x]' = 1/(x ln a).
y = log |x2 - 1|
= log10 |x2 - 1|
So y' is equal to,
the derivative of the outer part, 1/[(x2 - 1) ln 10]
times, the derivative of the inner part, 2x.
Chain rule in differentiation
Derivative of polynomials