(In other words the derivative of x3 is 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 is ddx(1/x) ? 1/x is also x-1 We can use the Power Rule, where n = −1: ddxxn = nxn−1 ddxx−1 = ...
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 ...
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例: y^{5}+2y-x-3x^{7}=0 ,求 \frac{dy}{dx} 解:方程两边对 x 求导,得 5y^{4}\frac{dy}{dx}+2\frac{dy}{dx}-1-21x^{6}=0 ,解得 \frac{dy}{dx}=\frac{1+21x^{6}}{5y^{4}+2} 方法③:根据隐函数求导公式 \frac{dy}{dx}=-\frac{F'x}{F'y} ,前提需要满足等式 F\lef...
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
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
Answer to: Find the derivative of the following functions: A) f(x) = e^(x^2 + x) - sqrt(ln x). B) f(x) = x^3 e^x. C) f(x) = (e^x)/(1 + x^2). By...
what is the derivative of \frac{e^{2x-1{e^{2x+1 What is the derivative of x(y^3)\sin x? What is the derivative of y = \sin^3(x) + \sin(x^3)? What is the derivative of the given function? What is derivative of f(x)= -3x(x+1)^(1/2)?
{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{3x^{2}e^{\frac{x^{3}}{ln(x)}}}{ln(x)} - \frac{x^{2}e^{\frac{x^{3}}{ln(x)}}}{ln^{2}(x)}\right)}{dx}\\=&\frac{3*2xe^{\frac{x^{3}}{ln(x)}}}{ln(x)} + \frac{3x^{2}e^{\frac{...
Answer to: Find the derivative of f(x) = e^x^2 (x^3 + 4x) By signing up, you'll get thousands of step-by-step solutions to your homework questions...