WEB216 Formulas and Theorems. II. Differentiation Formulas. !(r") Q,:I'
WEBEvaluate f ( x ) at all points found in Step 1. minimum, or neither if f ¢¢ ( c ) = 0 . Evaluate f ( a ) and f ( b ) . Identify the abs. max. (largest function value) and the abs. min.(smallest function value) from the evaluations in Steps 2 & 3.
WEBCalculus Formulas. d + 1. Power Rules: x n = nx n − 1 xn and ∫ xn dx = + c dx n + 1. d. Product Rule: [ f ( x ) ⋅ g ( x ) ] = f ( x ) ⋅ g ' ( x ) + f ' ( x ) ⋅ g ( x ) dx. d ⎡ f x ⎤ g x f ' x f x ⋅ g ' x. Quotient Rule: ( ) ( ) ⋅ ( ) − ( ) ( ) dx ⎢ = ⎣ g ( ) x ⎥ ⎦ [ ( g x ) ]2.
WEBThis Calculus Handbook was developed primarily through work with a number of AP Calculus classes, so it contains what most students need to prepare for the AP Calculus Exam (AB or BC)
WEBDifferential Calculus finds Function .2/ from Function .1/. We recover the speedometer information from knowing the trip distance at all times. Integral Calculus goes the other way. The “integral” adds up small pieces, to get the total distance traveled. That integration brings back Function .1/.
WEBTitle: Calculus_Cheat_Sheet_All Author: ptdaw Created Date: 12/9/2022 7:11:52 AM
WEBIntegration Formulas. Z dx = x+C (1) Z xndx = xn+1.
WEBwww.mathportal.org 3. Higher-order Derivatives Definitions and properties Second derivative 2 2 d dy d y f dx dx dx ′′ = − Higher-Order derivative
WEBSlope of line through P1 x1, y1 and P2 x2, y2 : y1 y2. m x2 x1. Point-slope equation of line through P1 x1, y1 with slope m: y1. x x1. Slope-intercept equation of line with slope m and y-intercept b: y mx.
WEBThe first step in calculus (in my opinion) is to begin working with junctions. The functions can be described by formulas or by graphs. The first graphs to study are straight lines, and the functions that go with them are linear: y = mx + b or (using other letters) f = vt + C.