(In other words the derivative of x3is 3x2) So it is simply this: "multiply by power then reduce power by 1" It can also be used in cases like this: Example: What isddx(1/x) ? 1/x is alsox-1 We can use the Power Rule, where n = −1: ...
Derivatives of functions tableFunction nameFunctionDerivative f (x)f '(x) Constant const 0 Linear x 1 Power x a a x a-1 Exponential e x e x Exponential a x a x ln a Natural logarithm ln(x) Logarithm logb(x) Sine sin x cos x Cosine cos x -sin x Tangent tan x Arcsine arcsin...
(\ln x)^{(n)}=(-1)^{(n-1)}\frac{(n-1)!}{x^{n}} \quad\quad (n=2,3,...)(e^{x})^{(n)}=e^{x} (a^{x})^{(n)}=a^{x} \cdot \ln^n a \quad\quad a>0 (u+v)^{(n)}=(u)^{(n)}+(v)^{(n)} (uv)^{(n)}= \sum_{k=0}^{n}{C_{n}^{k}...
Find the derivative ofsec−1(12x2−1)w.r.t.√1−x2atx=12. View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium ...
Example 1: Find the first derivative of f(x) = 8x2+ 12x. Solution: Given function: f(x) = 8x2+ 12x. Now, differentiating the function with respect of x, we get (d/dx) (8x2+ 12x) = (d/dx) (8x2) + (d/dx)(12x) ...
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derivative+of+e^-x
(∫ e^(1/x)dx) 相关知识点: 试题来源: 解析 (∫ e^(1/x)dx) is an antiderivative of ( e^(1/x)), so by definition ( d/(dx)[∫ e^(1/x)dx]) is ( e^(1/x)). ( e^(1/x))结果一 题目 Find the Derivative integral of x/(1+x^4) with respect to x 答案 is an ant...
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ e^{\frac{xxx}{ln(x)}}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = e^{\frac{x^{3}}{ln(x)}}\\&\color{...
(width height x-pos y-pos) if element >= 1, it regard as: number of pixel, if 0 < element < 1, it regard as: screen * element. user can set x-pos and y-pos to 'center, which mean that put the window to the center of screen. ...