derivative\ of\ function:} \\&\frac{d\left( \frac{6xe^{\frac{x^{3}}{ln(x)}}}{ln(x)} + \frac{9x^{4}e^{\frac{x^{3}}{ln(x)}}}{ln^{2}(x)} - \frac{6x^{4}e^{\frac{x^{3}}{ln(x)}}}{ln^{3}(x)} - \frac{5xe^{\frac{x^{3}}{ln(x)}}}{ln^{2}(x...
Domain of Ln(Ln(sinx)) and its derivative. Ask Question Asked 11 years, 7 months ago Modified 11 years, 7 months ago Viewed 2k times 1 Im reading the Ian Stewart book Concepts of Modern Mathematics, in a page he talks about the function f(x)=log(log(sin(x))) f(x)=log(log(si...
Answer to: Calculate the derivative of the given function. z = (ln x)^(ln x) By signing up, you'll get thousands of step-by-step solutions to your...
{eq}y=\ln(\ln(x)) {/eq} Differentiation in calculus: The given function is a composite logarithmic function {eq}f(g(x)) {/eq} and we need to find out the derivative. Derivative gives us the rate of change and the slope of the tangent line to a curve. To find out derivative of...
y=ln(ln(x)) The derivative of the given function is: xln(x) 1xln(x) 1ln(x) 1x+ln(x) There are 3 steps to solve this one. Solution ShareShare Step 1 Differentiate both sides of the equation. ddx(y)=ddx(ln(ln(x))) ...
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. ...
Derivative f’ of the function natural logarithm f(x)=ln x is: f’(x) = 1/x for any positive value of x.
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. ...
1. 对于 ln(x)的求导,公式为: $$\frac{d}{dx}ln(x)=\frac{1}{x}$$ 2. 对于 ln(kx)的求导,公式为: $$\frac{d}{dx}ln(kx)=\frac{k}{kx}=\frac{1}{x}$$ 其中 k 为常数。 3. 对于 ln(x^n)的求导,公式为: $$\frac{d}{dx}ln(x^n)=\frac{n}{x}$$ 其中 n 为常数。 4...
(x) 13:15 Feynman's overpowered technique on iterated integrals【迭代积分的费曼超势技术】 14:38 A very interesting limit problem【一个非常有趣的极限问题】 03:47 An unorthodox intro to complex numbers【复数的非正统介绍】 13:35 derivative of the factorial vs factorial of the derivative【阶乘的...