Find the derivative of y=e^(3x).相关知识点: 试题来源: 解析 The derivative of y=e^(3x) is 3e^(3x). Let u=3x. Then \dfrac {\d y}{\d x}=e^{u}\cdot \dfrac {\d u}{\d x}.Since \dfrac {\d u}{\d x}=3, \dfrac {\d y}{\d x}=e^{u}\cdot 3 or 3e^u.The ...
Submit Find the second derivative ofsin−1x. 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 ...
百度试题 结果1 题目Find the derivative of y=e^(3x). 相关知识点: 试题来源: 解析 The derivative of y=e^(3x) is 3e^(3x).反馈 收藏
(\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}...
SUBSTANCE: invention relates to derivative of 3-aryl-2-hydroxypropionic acid, namely, to (S)-2-ethoxy-3-4-[2-(4-methanesulfonyloxyphenyl)ethoxy] phenyl-propionic acid of the formula (I) . Invention describes methods for preparing compound, intermediate substance used in synthesis, pharmaceutical ...
ddxsin(x) = cos(x) Or: sin(x)’ = cos(x) Power Rule Example: What isddxx3? The question is asking "what is the derivative of x3?" We can use thePower Rule, where n=3: ddxxn= nxn−1 ddxx3= 3x3−1=3x2 (In other words the derivative of x3is 3x2) ...
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...
The expression for a normal curve of constant maximum height (of unity) will be simply: (55-2)Y=e−12X−μσ2 The first derivative of the normal distribution, from the expression in Eq. (55-1A), then, is: (55-3)dYdX=1σ2π1/2e−12X−μσ2ddX−12X−μσ2 (55-4)...
Finding the derivative of other powers of e can than be done by using the chain rule. For example e2x^2is a function of the form f(g(x)) where f(x) = exand g(x) = 2x2. The derivative following the chain rule then becomes 4x e2x^2. ...
The explicit details for the extension of Chern–Simons theory (1) are provided in Sect. 3. 2.1 Derived theories Consider a set of fields AJ(x) on d-dimensional Minkowski space with local coordinates xμ. The multi-index J accommodates all the tensor, spinor, isotopic indices labeling the...