Note: the little mark ’ means derivative of, and f and g are functions.Common FunctionsFunction Derivative Constant c 0 Line x 1 ax a Square x2 2x Square Root √x (½)x-½ Exponential ex ex ax ln(a) ax Logarithms ln(x) 1/x loga(x) 1 / (x ln(a)) Trigonometry (x is...
Simplify2ln(x)x1:x2ln(x) =x2ln(x) Enter your problem Popular Examples Frequently Asked Questions (FAQ) What is the derivative of (ln(x)^2) ? The derivative of (ln(x)^2) is (2ln(x))/x What is the first derivative of (ln(x)^2) ?
Derivative function: Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function. ...
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function. ...
The input recognizes various synonyms for functions such asasin,arsin,arcsin,sin^-1 Multiplication signs and parentheses are automatically added, so an entry like2sinxis equivalent to2*sin(x) List of mathematical functions and constants: •ln(x)—natural logarithm ...
Find the derivative of g (x) = ln (1 - e^x). Find the derivative of: g(x) = \int_{7x}^{4x} \dfrac{u + 2}{u - 1}du Find the derivative of y= cos(\frac{1-e^{2x{1+e^{2x) Find the derivative of y = 5x^3 + \sqrt x + \frac{2}{x^9} - 5x^{3/2} + \fr...
高阶导数的运算 (x^{a})^{(n)}=x^{a-n} \prod_{k=0}^{n-1} (a-k) (\frac{1}{x})^{(n)}=(-1)^n\frac{n!}{x^{n+1}} \quad\quad (n=1,2,...)(\ln x)^{(n)}=(-1)^{(n-1)}\frac{(n-1)!}{x^{n}} \quad\quad (n=2,3,...)...
更新1: I have another question: f(x) = (1-e^x) / x^2 the derivative is (e^x(1-x) -1) / x^2 I used quotient rule but I can't find the wer. please show me the procedure...Question 1 y = e^(x^3) * ln x^2 dy/dx = {d[e^(x^3)] / dx}(ln x^...
1. Use the chain rule to find the derivative of f(x) = ln(3x + 5). 2. If the height of a tree in feet t years after it is planted is given by h(t) = 3*ln(t) , find the rate at which the tree is growing three years after it is planted. 3. Use the change of base...
结果1 题目 If the derivative of f is f'(x)=ln (x^2+1)-2, at which of the following values of x does f have a local minimum value? ( ) A. √ (e^2-1) B. 1(e^2-1) C. √ (e^2+1) D. 1(e^2+1) 相关知识点: 试题来源: 解析 A 反馈 收藏 ...