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• Constant Multiple Rule: g(x)=c·f(x)theng0(x)=c·f0(x) • Power Rule: f(x)=x n thenf 0 (x)=nx n−1 • Sum and Difference Rule: h(x)=f(x)±g(x)thenh 0 (x)=f 0 (x)±g 0 (x)

Common Derivatives and Integrals Visit http://tutorial.math.lamar.edu for a complete set of Calculus I & II notes. © 2005 Paul Dawkins Inverse Trig Functions 1 22

Symbolab Derivatives Cheat Sheet Derivative Rules: :Power Rule: 𝑑 𝑑𝑥 𝑥𝑎 ;=𝑎⋅𝑥𝑎−1 ;Derivative of a Constant: 𝑑 𝑑𝑥 :𝑎=0 2Sum/Difference Rule:

Symbolab Derivatives Cheat Sheet. Derivative Rules: • Power Rule: . . ( ) = ⋅ −1. • Derivative of a Constant: .

Derivatives Cheat Sheet Derivative Rules 1. Constant Rule: d dx (c) = 0; where c is a constant 2. Power Rule: d dx (xn) = nxn 1 3. Product Rule: (fg)0 = f0g +fg0 4. Quotient Rule: f g 0 = f0g 0fg g2 5. Chain Rule: (f(g(x))0 = f0(g(x))g0(x) Common Derivatives Trigonometric Functions d dx (sinx) = cosx d dx (cosx) = sinx d dx (tanx) = sec2 x d dx ...

Implicit Differentiation Find y if e29 32xy xy y xsin 11 . Remembery yx here, so products/quotients of x and y will use the product/quotient rule and derivatives of y will use the chain rule. The “trick” is to differentiate as normal and every time you differentiate a y you tack on a …

Examples of implicit functions: ln(y) = x2, x3 + y2 = 5, 6xy = 6x + 2y2, etc. Implicit Differentiation Steps: 1. Differentiate both sides of the equation with ...

Take the derivative of the outside function, then multiply by the derivative of the inside function. 8. Product Rule: (. ) gfgf gf dx d.

Derivatives Cheat Sheet. Derivative Rules. 1. Constant Rule: d dx. (c)=0, where c is a constant ... Product Rule: (fg)/ = f/g + fg/. 4. Quotient Rule:.

A one-page cheat sheet on Differentiation, covering summarized theory and the most important formulas. Free Download (PDF)

* Click image to view/download PDF *. Description: Need a Cheat Sheet for Derivative Rules? This guide illustrates the 3 main derivative rules: the Product ...

List of Derivative Rules. Below is a list of all the derivative rules we went over in class. • Constant Rule: f(x) = c then f (x)=0.

Calculus Cheat Sheet ... notations for derivative evaluated at :r = a . ... will use the producVquotient rule and derivatives ofy will use the chain rule.

Calculus Cheat Sheet ... then the derivative is defined to be ( ) ... will use the product/quotient rule and derivatives of y will use the chain rule.

Implicit Differentiation Find y if e29 32xy xy y xsin 11 . Rememberyyx here, so products/quotients of x and y will use the product/quotient rule and derivatives of y will use the chain rule. The “trick” is to differentiate as normal and every time you differentiate a y you tack on a …