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:
-
If f(x) = 4x², find f'(x):
-
If g(x) = 5x³ - 2x, find g'(x):
-
If f(x) = x⁻ ² + 7, find f'(x):
-
If y = x + 12 - 2x, find dy/dx:
5.4: Equations of tangents and normals
Exercises
Solutions
5.5: Introduction to integration
Problems:
-
Find ∫2xdx:
-
Find ∫(4t³-2)dt:
-
Find ∫9x²dx:
5.6: Turning Points
5.7: Optimisation
5.8: Trapezoidal Rule