Logarithms
Logarithms
- Logarithms are the inverse function of \(a^x\)
- For example, \(\log_{a}n=x\) is the same as \(a^x=n\)
More examples: - \(\log_{3}81=4\)
- \(\log_2 \frac{1}{8}=-3\)
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- Differentiating functions with two or more terms
- Differentiating Quadratics
- Differentiating xn
- Finding the Derivative
- Gradients of Curves
- Gradients, Tangents and Normal
- Increasing and Decreasing Functions
- Modelling with Differentiation
- Second Order Derivatives
- Sketching Gradient Functions
- Stationary Points
- Acceleration due to Gravity
- Acceleration-Time Graphs
- Centre of Mass and Moments
- Conservation of Energy
- Conservation of Momentum
- Displacement-Time Graphs
- Drag, Lift and Terminal Speed
- Force, Momentum and Impulse
- Forces in Equilibrium
- Moments
- Newton's Laws of Motion
- Projectile Motion
- Scalars and Vectors
- Uniform Acceleration
- Velocity-Time Graphs
- Work and Power
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