A-Level Maths OCR B (MEI) (H640)

9: Calculus

#9.1

Gradient of a curve at a point

#9.2

Gradient of tangent as a limit

#9.3

Differentiation from first principles

#9.4

Sketch the gradient function

#9.5

Differentiate powers of x

#9.6

Second derivative

#9.7

Stationary points

#9.8

Increasing and decreasing functions

#9.9

Find equation of tangents and normals

#9.10

Differentiate exponentials and natural logarithms

#9.11

Differentiate trigonometric functions

#9.12

#9.13

#9.14

#9.15

Connected rates of change

#9.16

Implicit differentiation

#9.17

Concave and convex

#9.18

Point of inflection

#9.19

Fundamental theorem of calculus

#9.20

Integrate powers of x

#9.21

Find constant of integration

#9.22

Indefinite and definite integrals

#9.23

Find area between a graph and the x-axis

#9.24

Standard integrals

#9.25

Integration as the limit of a sum

#9.26

Find area between two curves

#9.27

Integration by substitution

#9.28

Integration by substitution

#9.29

Integration by parts

#9.30

Integration using partial fractions

#9.31

Formulate first order differential equations

#9.32

Solve first order differential equations

#9.33

Interpret solution of a differential equation

8

Exponentials and logarithms

10

Numerical methods

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