商法则(quotient rule)是微积分中用于求两个可导函数之商的导数的核心工具,其核心公式为分子导数与分母原函数的乘积减去分子原函数
What is the quotient rule? Read the definition of quotient rule and see the quotient rule formula, and practice applying it with some quotient rule...
Quotient rule, Rule for finding the derivative of a quotient of two functions. If both f and g are differentiable, then so is the quotient f(x)/g(x). In abbreviated notation, it says (f/g)′ = (gf′ −
Learn how to use a quotient rule calculator with the step-by-step procedure at BYJU’S. For more calculators, register with us to get the solutions in a fraction of seconds.
Quotient Rule Examples Example Problem #1:Differentiate the following function: f(x) = x3+ 2x2– 1 / (x + 5) Step 1:Choose f(x) and g(x). The numerator (top function) is f(x): x3+ 2x2– 1 The denominator (bottom function) is g(x): x + 5. ...
QUOTIENT RULE OF DIFFERENTIATION: ddx[f(x)g(x)]=g(x)ddx[f(x)]−f(x)ddx[g(x)][g(x)]2 To work these examples requires the use of various differentiation rules. If you are not familiar with a rule go to the associated topic for a review. ...
quotient rule在数学中的定义英文回答: The quotient rule in mathematics pertains to the differentiation of a quotient of two functions. Given two functions u(x) and v(x), their quotient is represented as u(x)/v(x). To obtain the derivative of this quotient, the quotient rule is applied. ...
QUOTIENT(quotient rule) 返回商的整数部分,该函数可用于舍掉商的小数部分。 语法 QUOTIENT(numerator,denominator) Numerator 被除数。 Denominator 除数。 说明 如果任一参数为非数值型,则函数 QUOTIENT 返回错误值 #VALUE!。 示例 AB 1 公式 说明(结果)
Demonstrating the Quotient Rule 正儿八经逻辑 我说话不讲逻辑,我该讲啥? 证明 函数的商的求导法则。 Proof ↓ Let u=f(x) and v=g(x). If x, u and v change respectively by amounts Δx, Δu and Δv, then the corresponding change in the quotient uv is Δ(uv)=u+Δuv+Δv=v(u+Δ...
The Product Rule for Exponents For any number x and any integers a and b, (xa)(xb)=xa+b(xa)(xb)=xa+b. To multiply exponential terms with the same base, add the exponents. Caution! When you are reading mathematical rules, it is important to pay attention to the conditions on the ...