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Calculus 4E - Ch 17

Calculus 4E - Ch 17 Slopes & Derviatives

QuestionAnswer
The derivative of y(x) is the limit of the slope of the ____________ line as it approaches the slope of the tangent line. secant
The 2 basic steps of the Method of Increments in terms of secant and tangent lines are to find the SLOPE of the SECANT line and then find the slope of the __________________ line. tangent
The SLOPE of y(x) ad point (x,y) = the SLOPE of y(x)'s ____________ ______________ at point (x,y). tangent line
The slope of y (x)'s tangent line at (x, y) = limit of the slope of y (x)'s ____________ _____________ between the two points (x, y) and (x+Δx, y +Δy) as Δx approaches 0. secant line
Average slope Δy/Δx
Instantaneous slope dy/dx
Instantaneous does not necessarily indicate an instant but rather the instantaneous RATE of change with y with regards to x.
Δy/Δx the secant line of a function
dy/dx the tangent line of a function
The Power Rule helps us find the ______________ of a function's tangent line. slope
Created by: MrsHough
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