dxd(ln(x))=x1 =2ln(x)x1 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 ...
Derivative of natural logarithm ln x Derivative $f’$ of the function $f(x)=\ln x$ is: \(\forall x \in ]0, +\infty[ , \quad f'(x) = \dfrac{1}{x}\) Proof Let $y$ the function ln x $y = f(x)= \ln x$ then by definition (ln is the inverse function of exp) $e^...
Find the derivative ofy=ln2x View Solution Find the derivative for the functionf(x)=2x(x−3) View Solution Find the derivative ofy=lnx2 View Solution Find the derivative of the functionf(x)=x3−6x2+ax+b View Solution Find the derivative ofy=23x ...
例: (eax)′=a⋅eax ; (lnx2)′=1x2⋅2x 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}...
There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated. Note that variables are case sensitive. [1/1]Find the first derivative of function ln(x2) with respect to x: Solution:==Primitive function =ln(12x)The first derivative function:d(ln(12x...
The well-known derivative ln(x) is one that students often find easy to memorize due to many real-life applications. Learn the step-by-step process used to solve the derivative and the application of the derivative of ln(x) using a real-world example. Steps to Solve We want to find ...
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^...
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...
Derivative of (tan(x))^2. Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework. Below you can find the full step by step solution for you problem. We hope it will be very helpful for you and it will...
Find y' if y= ln( x^2 + y^2) I thought this was just a regular natural log derivative combined with the chain rule. So what I got was (2x + 2y)/ (x^2 +...