389 1 7:17 App 34-average value of a function函数的平均值 678 -- 45:42 App 2.5-Transformations of Functions函数的图形变换 559 -- 23:06 App 10-chain rule链式法则 372 -- 22:52 App 33-integral evaluation theorem积分计算定理 591 -- 23:37 App 12-implicit differentiation隐微分 603...
Derivative of the Logarithmic FunctionLearning Outcomes Find the derivative of logarithmic functions Now that we have the derivative of the natural exponential function, we can use implicit differentiation to find the derivative of its inverse, the natural logarithmic function....
Use logarithmic differentiation to find the derivative of the functiony=x−1x4+1. Logarithmic differentiation Logarithmic differentiation is good for functions where the functions may be in power, in a rational or in any other complex form. ...
Use logarithmic differentiation to find the derivative of the functiony=(5x+1)6(x4−3)3. Logarithmic Differentiation: Consider the functiony=(f(x))a(g(x))b Now taking logarithmic both side and differentiaring with respect to x we get ...
In order to overcome this the logarithmic derivative technique could be used, where the calculation of the logarithmic derivative of the real part of the complex permittivity function is needed. Since broadband dielectric measurement provides discrete permittivity function, numerical differentiation has to ...
To find the derivative of the function y=log(sin(logx)), we will apply the chain rule and the properties of logarithmic differentiation. Here’s a step-by-step solution: Step 1: Differentiate the outer functionLet y=log(sin(logx)). To differentiate y with respect to x, we first differe...
Yes, you can also use logarithmic differentiation to find the derivative of (sin x)^sin x. This involves taking the natural log of both sides of the original function, then using properties of logarithms to simplify the expression. Finally, take the derivative of both sides and solve for the...
Use logarithmic differentiation to find the derivative of the function. y = (cos 2x)^x 求方程导数y=(cos2x)^x... 求方程导数y = (cos 2x)^x 展开 1个回答 #热议# 已婚女性就应该承担家里大部分家务吗?0A0小迷糊 2014-05-16 · TA获得超过1018个赞 知道小有建树答主 回答量:523 采纳率...
Derivative ofy= lnu(whereuis a function ofx) Unfortunately, we can only use the logarithm laws to help us in a limited number of logarithm differentiation question types. Most often, we need to find the derivative of a logarithm of some function ofx. For example, we may need to find the...
Tags Function Logarithmic Natural In summary, the correct answer for finding y' when y=ln(x^2+y^2) using implicit differentiation is (2x+2y)/(x^2+y^2). However, it is important to note that y' can be in terms of both x and y due to the use of implicit differentiation. Feb...