In mathematical finance, the Greek О» is the logarithmic derivative of derivative price with respect to underlying price.

Exponential growth and exponential decay are processes with constant logarithmic derivative.Is therefore a pullback of the invariant form. b) when x is less than 1 and becomes smaller. That derivative approaches 0, that is, becomes smaller. Determine if V (t) t et V ( t) t e t is increasing or decreasing at the following points. Find the tangent line to f (x) 7x +4ex f ( x) 7 x + 4 e x at x 0 x 0. For problems 1 6 differentiate the given function. a) when x is greater than 1 and becomes larger. Section 3-6 : Derivatives of Exponential and Logarithm Functions. Is invariant under dilation (replacing X by aX for a constant). According to the rule for changing from base e to a different base a: Topic 20 of Precalculus. ( log вЃЎ u v ) вЂІ = ( log вЃЎ u + log вЃЎ v ) вЂІ = ( log вЃЎ u ) вЂІ + ( log вЃЎ v ) вЂІ. For example, since the logarithm of a product is the sum of the logarithms of the factors, we have Many properties of the real logarithm also apply to the logarithmic derivative, even when the function does not take values in the positive reals. The logarithmic derivative of the sine function is the cotangent function: cotx (log(sinx)). For example: The digamma function and polygamma functions are the logarithmic derivatives of the gamma function. 2 Computing ordinary derivatives using logarithmic derivatives The logarithmic derivative can be any function that you find the log for, and take the derivative.

Derivative of log base a