Let us consider a continuous and differentiable function of one real variable {eq}f(x) {/eq} and let {eq}f'(x) {/eq} be its derivative. The function f can be determined as the antiderivative of f'.Answer and Ex
Another application is finding extreme values of a function, so the (local) minimum or maximum of a function. Since in the minimum the function is at it lowest point, the slope goes from negative to positive. Therefore, the derivative is equal to zero in the minimum and vice versa: it i...
Find the derivative of the function )1()3(2+-+=x x x y 相关知识点: 试题来源: 解析 y' = 3x² + 2 原函数整理后为 y = x³ + 2x - 1 求导过程: 1. 对x³项应用幂法则,导数为3x² 2. 对2x项应用线性法则,导数为2 3. 常数项-1导数为0 组合之后导数为 y' = 3x² +...
Function Differentiation Using Chain Rule | Formula & Examples from Chapter 8 / Lesson 6 54K Learn how to differentiate a function using the chain rule of differentiation. Find various chain rule derivative examples with various function types. Related...
【题目】Find the derivative of the function.$$ g ( x ) = \frac { \arcsin 3 x } { x } $$ 相关知识点: 试题来源: 解析 【解析】 $$ \frac { 3 x - \sqrt { 1 - 9 x ^ { 2 } } \arcsin 3 x } { x ^ { 2 } \sqrt { 1 - 9 x ^ { 2 } } } $$ 反馈 收藏 ...
To find the derivative of the function f(x)=excosx with respect to x, we will use the product rule of differentiation. The product rule states that if you have a function that is the product of two functions u(x) and v(x), then the derivative is given by: ddx(u(x)v(x))=u′...
How to Find the Derivative of a Function Using the Limit of a Difference Quotient: Example 1 Find the first derivative of {eq}f(x)=2x-3. {/eq} Step 1:Identify our function. The function that we are finding the first derivative of is {eq}f(x)=2x-3. {/...
百度试题 结果1 题目Find the derivative of the function. Express your answer in simplest factored form.P(x)=e^(-2x^2) 相关知识点: 试题来源: 解析 P'(x) = -4 xe^(-2 x^2) P'(x) = e^(-2 x^2)⋅ -4x 反馈 收藏
Find the derivative of the function. {eq}y=\textrm{cos}\sqrt{\textrm{sin}(\textrm{tan} \; \pi x)} {/eq} Differentiation There are some common results of derivatives that can be directly used in the problems. Some of them are written below. {eq}\dfrac{d}{dx...
题目 find the derivative of the function.y=x^(2x+1) 答案 x^(2x)(2xlnx+2x+1) 结果二 题目 Find the derivative of the function. 答案 结果三 题目 Find the derivativ eo fthe function.y=√x+√ 答案 x-相关推荐 1find the derivative of the function.y=x^(2x+1) 2Find the ...