The product rule is a common rule for the differentiating problems where one function is multiplied by another function. Learn how to apply this product rule in differentiation along with the example at BYJU’S.
Product Rule Equation The product, or multiplication, rule in calculus is: {eq}\frac{d}{dx}[f(x)g(x)] = f(x) \frac{d}{dx}[g(x)] + g{x}\frac{d}{dx}[f(x)] {/eq} Product Rule Examples Application of Product Rule
3. 中间值定理IVT 4. 求导的积法则 product rule 5. 求导的链法则 chain rule 6. turning point 7. point of inflection 8. 最大值、最小值一阶导数 判别法
微积分(Calculus)1.3 1.3LimitsInvolvingInfinity Th1.LimitsRules:1.Sum(Difference)Rule:x limfxM x and x limgxL lim(fxgx)ML x 2.ProductRule:3.QuotientRule:4.RootRule:x lim(fx...
特别是Product rule和Chain Rule套在一起的时候，如 y=ln（x）* sin（2x）和2次及以上Chain Rule...
4.Rules for Derivatives(求导法则): Once you understand the concept of a derivative, it’s important to know how to calculate them. Key rules include power rule(幂法则), chain rule(链式法则), product rule(乘积法则), and quotient rule(商法则). ...
6. Rules for computing derivatives (product rule, quotient rule and chain rule); formulas for all relevant functions, including implicitly defined functions (derive y with respect to x=dy/dx) Unit IV. Applications of Derivatives 1. Finding extrema: f’(x)=0, decide if it is a extrema usin...
Product Rule and Quotient Rule | MIT Highlights of Calculus乘除原则 |微积分课程 Product Rule and Quotient Rule Instructor: Gilbert Strang http://ocw.mit.edu/highlights-of-calculus License: Creative Commons BY-NC-SA More information at http://ocw.mit.ed
1.productrule 2.Chain rule 5.计算→求D^n(x) 1.多项式D^n(x^k) 2.三角函数D^n(sinx) 3.(1/1+x)^n 4.与product rule结合D^n(uv) = 5.与数学归纳法结合,递推; 6.计算→特殊方法(技巧) 1.取对数求导→“幂”型、分式型 2.隐函数求导 3.参变量求导 7.计算→课堂例题中的处理技巧 1....
(1)乘积 Product Rule: \left( f\left( x \right) g\left( x \right) \right)^{'}= f\left( x \right)^{'} g\left( x \right) + f\left( x \right) g\left( x \right)^{'} (2)分数 Quotient Rule: \left( \frac{f\left( x \right)}{g\left( x \right)} \right)^{'}...