the derivative of cf = cf’ the derivative of 5f = 5f’ We know (from the Power Rule): ddxx3= 3x3−1= 3x2 So: ddx5x3= 5ddxx3= 5 × 3x2=15x2 Sum Rule Example: What is the derivative of x2+x3? The Sum Rule says: ...
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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Find the derivative of the function. {eq}\displaystyle g (x) = \log_3 \sqrt {1 - x} {/eq} Derivative of a Function The derivative of a function can be calculated, performing some algebraic operations and in the case of the logarithmic function, applying the properties of lo...
Answer to: What is the derivative of this? h(x) = sin (e^3x) By signing up, you'll get thousands of step-by-step solutions to your homework...
What is the derivative of x^2e^{-3x} ? The derivative of x^2e^{-3x} is 2e^{-3x}x-3e^{-3x}x^2 What is the first derivative of x^2e^{-3x} ? The first derivative of x^2e^{-3x} is 2e^{-3x}x-3e^{-3x}x^2© Course Hero Symbolab 2023 Home What's New Blog About ...
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
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{x^{3}}{ln(x)}}(\frac...