Derivative definition | Desmos

Expression 5: "h" equals 1

negative 1

1

5

Expression 6: "m" Subscript, "P" "Q" , Baseline equals StartFraction, "f" left parenthesis, "a" plus "h" , right parenthesis negative "f" left parenthesis, "a" , right parenthesis Over "h" , EndFraction

equals

1.5

6

Expression 7: "y" equals "m" Subscript, "P" "Q" , Baseline left parenthesis, "x" minus "a" , right parenthesis positive "f" left parenthesis, "a" , right parenthesis

7

h = Delta x: left parenthesis, "a" positive StartFraction, "h" Over 2 , EndFraction , "f" left parenthesis, "a" , right parenthesis , right parenthesis

Label:

8

f(a+h) - f(a) = Delta y: left parenthesis, "a" plus "h" , StartFraction, "f" left parenthesis, "a" , right parenthesis positive "f" left parenthesis, "a" plus "h" , right parenthesis Over 2 , EndFraction , right parenthesis

Label:

9

"x" Subscript, 1 , Baseline	"y" Subscript, 1 , Baseline
"a"	"f" left parenthesis, "a" , right parenthesis
"a" plus "h"	"f" left parenthesis, "a" , right parenthesis
"a" plus "h"	"f" left parenthesis, "a" plus "h" , right parenthesis

10

11

powered by

powered by

P = (a, f(a))

Q = (a+h, f(a+h))

h = Delta x

f(a+h) - f(a) = Delta y

to save your graphs!

New Blank Graph

Examples

Lines: Slope Intercept Form

example

Lines: Point Slope Form

example

Lines: Two Point Form

example

Parabolas: Standard Form

example

Parabolas: Vertex Form

example

Parabolas: Standard Form + Tangent

example

Trigonometry: Period and Amplitude

example

Trigonometry: Phase

example

Trigonometry: Wave Interference

example

Trigonometry: Unit Circle

example

Conic Sections: Circle

example

Conic Sections: Parabola and Focus

example

Conic Sections: Ellipse with Foci

example

Conic Sections: Hyperbola

example

Polar: Rose

example

Polar: Logarithmic Spiral

example

Polar: Limacon

example

Polar: Conic Sections

example

Parametric: Introduction

example

Parametric: Cycloid

example

Transformations: Translating a Function

example

Transformations: Scaling a Function

example

Transformations: Inverse of a Function

example

Statistics: Linear Regression

example

Statistics: Anscombe's Quartet

example

Statistics: 4th Order Polynomial

example

Lists: Family of sin Curves

example

Lists: Curve Stitching

example

Lists: Plotting a List of Points

example

Calculus: Derivatives

example

Calculus: Secant Line

example

Calculus: Tangent Line

example

Calculus: Taylor Expansion of sin(x)

example

Calculus: Integrals

example

Calculus: Integral with adjustable bounds

example

Calculus: Fundamental Theorem of Calculus

example

Terms of Service|Privacy Policy