√99以上 log e derivative rules 356553-Log e derivative rules
Derivative of logₐx (for any positive base a≠1) Practice Logarithmic functions differentiation intro Worked example Derivative of log₄(x²x) using the chain ruleD dx(lnX(x)) = X ′ (x)X − 1 where X ′ (x) is the derivative of X wrt x I'm going about this in a similar way to how I would prove it for X being just a scalar function of x, meaning I start from the definition of the derivative d dx(lnX(x)) = lim Δx → 0lnX ΔX − lnX Δx where I rewrite ΔX = X ′ Δx d dx(lnX(xThe derivative of e x is e x This is one of the properties that makes the exponential function really important Now you can forget for a while the series expression for the exponential We only needed it here to prove the result above We can now apply that to calculate the derivative of other functions involving the exponential Example 1 f Derivatives Of Logarithmic And Exponential Functions Youtube Log e derivative rules
