A-Level Maths Edexcel 9MA0

1.7: Differentiation

#1.7.1

Differentiation

Differentiate from first principles (integer powers of x)Sketch gradient function for a given curve Differentiate from first principles (sin x and cos x)Identify concavity of functions

#1.7.2

Differentiation of standard functions

Differentiate e^x Differentiate ln x Differentiate trigonometric functions Differentiate a^x Differentiate x^n (positive integer powers)Differentiate x^n (rational powers)

#1.7.3

Applications of differentiation

Find equation of tangent at a point on a curve Find equation of normal at a point on a curve Find stationary points Identify increasing and decreasing functions

#1.7.4

Chain rule, product rule and quotient rule

Use chain rule Solve problems involving connected rates of change Use product rule Use quotient rule Differentiate reciprocal trigonometric functions

#1.7.5

Implicit and parametric differentiation

Differentiate implicit equations Differentiate parametric equations

#1.7.6

Construct simple differential equations

Construct simple differential equations

1.6

Exponentials and logarithms

1.8

Integration

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