#Derivative of log chain rule plus#

The partial derivative of natural logarithm of sum of the squares of variables $x$ and $y$ with respect to $x$ is written in mathematics as follows. Derivatives of logarithmic functions are mainly based on the chain rule.However, we can generalize it for any differentiable function with a logarithmic function. By the chain rule, take the derivative of the 'outside' function and multiply it by the derivative of the. For example, say f (x)ln (g (x)), where g (x) is some other function of x. Recall that the derivative of ln (x) is 1/x.

For instance, if f and g are functions, then the chain rule expresses the derivative of their composition. You can use the chain rule to find the derivative of a composite function involving natural logs, as well.

#Derivative of log chain rule plus#

The partial derivative of natural logarithm of $x$ square plus $y$ squared with respect to $x$ and also with respect to $y$ can be calculated by using the differentiation formulas. The Chain Rule is a formula for computing the derivative of the composition of two or more functions.