WebApr 3, 2024 · Supposing that the question is about. #y=(sin(x))^(logx)# Applying #log# to both sides . #logy=log x log(sinx)# now deriving #(dy)/y = dx/x log(sinx)+logx cosx/sinx ... WebAnswer (1 of 2): That depends on whether y depends on x or is independent of x. If y is independent of x, then it is zero because, as Gautam Helange suggested, \frac{1}{logy}{} …
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WebAug 18, 2016 · By the change of base formula for logarithms, we can write logᵪa as ln (a)/ln (x). Now this is just an application of chain rule, with ln (a)/x as the outer function. So the derivative is -ln (a)/ ( (ln (x))²)· (1/x). Alternatively, we can use implicit differentiation: … WebOct 29, 2024 · The suffix -ology refers to the study of something. The use of -ology words increased in the 19th century as more fields of scientific study began to be explored. To determine the study an -ology ... day spas in nashville
Given y=(sin(x))^(logx) calculate dy/dx ? Socratic
WebSep 11, 2024 · I am quite stuck on how to differentiate log(y) with respect to y. When I googled it, I seen many websites state that d(log(y))/dy is … WebLogarithmic differentiation is based on the logarithm properties and the chain rule of differentiation and is mainly used to differentiate functions of the form f(x) g(x)· It helps in easily performing the differentiation in simple and quick steps. The functions which are complex and cannot be algebraically solved and differentiated can be differentiated using … WebThe Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation). The Derivative Calculator supports computing first, second, …, fifth derivatives as well as ... gcf of 9 16 and 20