Derivative Rules - Math is Fun
The Derivative tells us the slope of a function at any point. There are rules we can follow to find many derivatives. For example: The slope of a constant value (like 3) is always 0; The slope of a line like 2x is 2, or 3x is 3 etc; and so on. Here are useful rules to help you work out the derivatives of many functions (with examples below).
• Power Rule: f(x)=xn thenf0(x)=nxn−1 • Sum and Difference Rule: h(x)=f(x)±g(x)thenh0(x)=f0(x)±g0(x) • Product Rule: h(x)=f(x)g(x)thenh0(x)=f0(x)g(x)+f(x)g0(x) • Quotient Rule: h(x)= f(x) g(x) thenh0(x)= f0(x)g(x)−f(x)g0(x) g(x)2 • Chain Rule: h(x)=f(g(x))thenh0(x)=f0(g(x))g0(x) • Trig Derivatives: – f(x)=sin(x)thenf0(x)=cos(x)
Derivatives Cheat Sheet - Symbolab
Power Rule \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1} Derivative of a constant \frac{d}{dx}\left(a\right)=0 Sum Difference Rule \left(f\pm g\right)^'=f^'\pm g^'
3.3: Differentiation Rules - Mathematics LibreTexts
2024年8月17日 · Use the product rule for finding the derivative of a product of functions. Use the quotient rule for finding the derivative of a quotient of functions. Extend the power rule to functions with negative exponents. Combine the differentiation rules to find the derivative of a polynomial or rational function.
Study Guide - Differentiation Rules - Symbolab
Apply the sum and difference rules to combine derivatives. Use the product rule for finding the derivative of a product of functions. Use the quotient rule for finding the derivative of a quotient of functions. Extend the power rule to functions with negative exponents.
3: Rules for Finding Derivatives - Mathematics LibreTexts
2020年12月21日 · Fortunately, we can develop a small collection of examples and rules that allow us to compute the derivative of almost any function we are likely to encounter. Many functions involve quantities raised to a constant power, such as polynomials and more complicated combinations like \(y=(\sin x)^4\).
It is tedious to compute a limit every time we need to know the derivative of a function. Fortunately, we can develop a small collection of examples and rules that allow us to compute the derivative of almost any function we are likely to encounter.
Differentiation Rules - Derivative Rules, Chain rule of Differentiation …
The differentiation rules help us to evaluate the derivatives of some particular functions easily. Learn Power rule, Sum rule, Product rule, Chain rule of Differentiation with examples at BYJU'S.
3.3 Differentiation Rules – Calculus Volume 1 - Clemson University
Use the product rule for finding the derivative of a product of functions. Use the quotient rule for finding the derivative of a quotient of functions. Extend the power rule to functions with negative exponents. Combine the differentiation rules to find the …
Calculus - Derivative Rules (video lessons, examples, solutions)
The following diagram gives the basic derivative rules that you may find useful: Constant Rule, Constant Multiple Rule, Power Rule, Sum Rule, Difference Rule, Product Rule, Quotient Rule, and Chain Rule. Scroll down the page for more examples, solutions, and Derivative Rules.