Application & Interpretations

Calculus

Contents: Click to skip to subtopic

5.1: Limits, slopes of curves

5.2: Increasing & decreasing regions

5.3: Derivatives of polynomials

Problems:

1. If f(x) = 4x², find f'(x):

2. If g(x) = 5x³ - 2x, find g'(x):

3. If f(x) = x⁻ ² + 7, find f'(x):

4. If y = x + 12 - 2x, find dy/dx:

Exercise Links: 

IXL Differentiation

Khan Academy Diff. 1

Khan Academy Diff. 2

5.4: Equations of tangents and normals

Exercises

Solutions

5.5: Introduction to integration

Problems:

1. Find ∫2xdx:

2. Find ∫(4t³-2)dt:

3. Find ∫9x²dx:

5.6: Turning Points

5.7: Optimisation

5.8: Trapezoidal Rule